In a heat engine, the temperature of the source and sink are \( 500 \mathrm{K} \) and \( 375 \mathrm{K} \). If
the engine consumes \( 25 \times 10^{5} \) per
cycle, the work is done per cycle is:
A \( \cdot 6.25 \times 10^{5} J \)
В. \( 3 \times 10^{5} \mathrm{J} \)
c. \( 2.9 \times 10^{5} J \)
D. \( 4 \times 10^{4} J \)


\( M g O \) has a high melting point because due to the highly charged ions, ionic force is strong and lattice energy is.........
A . Highh
B. Low
c. Both are
D. None of these


In one dimensional motion,
instantaneous speed \( \boldsymbol{v} \) satisfies the
condition, \( 0 \leq v<v_{0}, \) when
A. The displacement in time T must always take nonnegative values.
B. The displacement x in time T satisfies - \( v_{0} T<x<v_{0} T \)
C. The acceleration is always a non-negative number
D. The motion has no turning points.


The alkali metals:
This question has multiple correct options
A. form salts like hydrides
B. posses low ionisation potential
C. have a high affinity towards non-metals.
D. have low density


Six resistors of each 2 ohm are
connected as shown in the figure. The
resultant resistance between \( A \) and \( B \)
is.
\( \mathbf{A} \cdot 4 \Omega \)
B. \( 2 \Omega \)
\( c \cdot 1 \Omega \)
D. \( 10 \Omega \)


Carbonyl group of aldehyde and ketone contain
A. carbon and oxygen
B. carbon and nitrogen
c. carbon and sulphur
D. none of these


Which one is true for solutions showing
positive deviation from raoult's law?
A. A-B interaction has nothing to do with positive deviations
B. A-B interactions are weaker than than those between
A-A and B-B
C. A-B interactions are stronger than those between A-A and B-B
D. A-B interactions are same as those between A-A and B-
\( B \)


If the rate of translocation of food is
slow, what will be the effect on
photosynthesis?
A. It will increase
B. It will remain same
c. Become double
D. It will decrease


A disc arranged in a vertical plane has two groves of same length directed along the vertical chord \( A B \) and \( C D \) as
shown in the fig. The same particles slide down along \( A B \) and \( C D . \) The ratio
of the time \( t_{A B} / t_{C D} \) is then
A . 1: 2
B. \( 1: \sqrt{2} \)
\( c \cdot 2: 1 \)
D. \( \sqrt{2}: 1 \)


Out of \( \boldsymbol{S n C l}_{2}, \boldsymbol{N C O}^{-}, \boldsymbol{C S}_{2}, \boldsymbol{N O}_{2}^{+} \) and
\( S O_{2} \) select the one with linear
structure.
A. \( N C O^{-}, C S_{2}, N O_{2}^{+} \)
B. \( N C O^{-}, S n C l_{2}, N O_{2}^{+} \)
\( \mathrm{c} \cdot S O_{2}^{-}, C S_{2}, N O_{2}^{+} \)
D. None of these


Calculate thermal capacity of solid of mass \( 0.8 ~ k g \) and specific heat capacity
of \( 0.4 J / g^{o} C \)
\( \mathbf{A} \cdot 160 J^{\circ} C^{-1} \)
B. \( 320 J^{\circ} C^{-1} \)
c. \( 640 J^{\circ} C^{-1} \)
D. \( 960 J^{\circ} \mathrm{C}^{-1} \)


\( \lim _{x \rightarrow a}(x-a)\left(\frac{1}{x-a}-\frac{1}{x^{2}-(a+b) x+}\right. \)
\( = \)
A \( \cdot \frac{a-b-1}{a-b} \)
B.
\( c \)
D. \( \frac{a+b}{a-b} \)


Which of the following element would lose an electron easily?
\( \mathbf{A} \cdot M g \)
в. \( N a \)
c. \( K \)
D. \( C a \)


Which group of elements could be placed in Mendeleev's Periodic Table
without disturbing the original order?
A . Alkali metals
B. Alkaline earth metals
c. Non - metals
D. Noble gases


Four persons can hit a target correctly with probabilities \( \frac{1}{2}, \frac{1}{3}, \frac{1}{4} \) and \( \frac{1}{8} \) respectively. If all hit at the target independently, then the probability that the target would be hit, is?
A \( \cdot \frac{25}{192} \)
в. \( \frac{1}{192} \)
c. \( \frac{25}{32} \)
D. \( \frac{7}{32} \)


The value of \( \frac{\pi}{\mathbf{5 3 . 2}} \) with due regard to significant figures is (Use \( \boldsymbol{\pi}=\mathbf{3 . 1 4} \) ) :
A .0 .0591
B. 0.0590
c. 0.590
D. 0.5906


Fill in the blanks with appropriate
words.
A \( \dots \dots \dots \) a systematic enumeration of plant species occurring is a given region.


Which of the following changes will
increase the EMF of the cell:
\( \boldsymbol{C o}(\boldsymbol{s})\left|\boldsymbol{C o C l}_{2}\left(\boldsymbol{M}_{1}\right) \| \boldsymbol{H} \boldsymbol{C l}\left(\boldsymbol{M}_{2}\right)\right|\left(\boldsymbol{H}_{2}, \boldsymbol{g}\right) \)
This question has multiple correct options
A. Increase the volume of \( C o C l_{2} \) solution from \( 100 \mathrm{mL} \) to
200 mL.
B. Increase \( M_{2} \) from 0.01 M to 0.50 M.
C. Increase the pressure of the \( H_{2}(g) \) from 1.0 to 2.0 atm.
D. Increase \( M_{1} \) from 0.01 M to 0.50 \( \mathrm{M} \)


The number of water molecules formed
when ten electrons move from
mitochondrial NADH molecules through
the components of electron transport system to molecular oxygen is
A . 20
B. 15
c. 10
D. 5


If the temperature of a star is in the order of million degrees celsius it appears in colour.
A. White
B. Red
c. Yellow
D. Blue


To demagnetise a given magnet by electrical method, the ends of the
insulated copper wire wound round the bar magnet should be connected to a
source of
A . \( D C \)
в. \( A C \)
c. \( D C \) or \( A C \)
D. Depends on strength of the bar magnet to be demagnetisedd


For what values of \( a \) is the sum of the
squares of the numbers consulting the solution of the system of equations
\( \mathbf{3} \boldsymbol{x}-\boldsymbol{y}=\mathbf{2}-\boldsymbol{a}, \boldsymbol{x}+\mathbf{2} \boldsymbol{y}=\boldsymbol{a}+\mathbf{1} \) the
least?


Motion of satellite around the earth is
A. retarded
B. accelerated
c. diverted
D. None


If \( \boldsymbol{y}=\boldsymbol{a}+\boldsymbol{b} \boldsymbol{x}^{2} ; \mathbf{a}, \mathbf{b} \) are arbitrary
constants then:
A \( \cdot \frac{d^{2} y}{d x^{2}}=2 x y \)
B. \( x \frac{d^{2} y}{d x^{2}}=\frac{d y}{d x} \)
c. \( x \frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}+y=0 \)
D. \( \frac{d^{2} y}{d x^{2}}=2 y \)


Assertion
To protect any instrument from external magnetic field, it is put inside an iron body.
Reason
Iron is a magnetic substance.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct


The bar chart shows the number of
workers employed by a trading companyin three years. Calculate the
difference between the total number of
male and female workers employed over
those three years.
\( \mathbf{A} \)
B. 2
\( c \cdot 4 \)
D.


If the distances of \( \boldsymbol{P}(\boldsymbol{x}, \boldsymbol{y}) \) from \( \boldsymbol{A}(-1,5) \) and \( \boldsymbol{B}(\mathbf{5}, 1) \) are equal, then
A \( .2 x=y \)
в. \( 3 x=2 y \)
c. \( 3 x=y \)
D. \( 2 x=3 y \)


Plating a metal or an article with another metal is known as:
A. electroplating
B. electrorefining
c. extraction of metals
D. None of the above


State whether true or false:
Plastics are insoluble in water
A. True
B. False


The potential energy of a certain spring
when stretched through a distance \( ^{\prime} S^{\prime} \)
is 10 joule. The amount of work (joule) that must be done on this spring to stretch it through an additional
distance \( ^{\prime} \boldsymbol{S}^{\prime} \) will be
A . 30
B. 40
c. 10
D. 20


The integral enthalpy of solution in \( \mathrm{kJ} \) of
one mole of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) dissolved in \( \boldsymbol{n} \) mole
of water is given by:
\( \Delta \boldsymbol{H}_{s}=\frac{\mathbf{7 5 . 6} \times \boldsymbol{n}}{\boldsymbol{n}+\mathbf{1 . 8}} \)
Calculate \( \Delta H \) for \( H_{2} S O_{4} \) dissolved in 2
mole of \( \boldsymbol{H}_{2} \boldsymbol{O} \)
\( A \cdot-48.54 \mathrm{kJ} \)
B. 39.79 kJ
c. 48.54 k]
D. \( 75.60 \mathrm{kJ} \)


Choose the correct answers from the
alternatives given :
The rate of glycolysis is
A. stimulated by ATP
B. stimulated by oxygen
C. inhibited by ADP
D. stimulated by ADP


Two waves in the same medium are
represented by \( y-t \) curves in the
figure shown. Find the ratio of their
average intensities?
A \( \cdot \frac{25}{16} \)
B. \( \frac{23}{16} \)
c. \( \frac{21}{16} \)
D. \( \frac{27}{16} \)


Uncertainty in position of an electron \( \left.\boldsymbol{m}=\mathbf{9 . 1} \times \mathbf{1 0}^{-\mathbf{2 8}} \boldsymbol{g}\right) \) moving with a
velocity of \( 3 \times 10^{4} \mathrm{cm} / \mathrm{s} \) accurate upto
\( 0.001 \% \) will be :
(Use \( \frac{\boldsymbol{h}}{4 \pi} \) in uncertainty expression
where \( \left.h=6.626 \times 10^{-27} \text {erg } s\right) \)
A \( .5 .79 \mathrm{cm} \)
в. 7.68 ст
c. 1.93 ст
D. 3.84 \( c m \)


If two cubes each of side \( 12 \mathrm{cm} \) are
joined end to end then the surface area of the resulting cuboid is
A \( \cdot 1728 \mathrm{cm}^{2} \)
B . \( 1440 \mathrm{cm}^{2} \)
c. \( 1445 \mathrm{cm}^{2} \)
D. \( 1450 \mathrm{cm}^{2} \)


(i) The cubical container ABCDEFGH
which is completely filled with an idea (nonviscous and incompressible) fluid,
moves in a gravity free space with a acceleration of \( \boldsymbol{a}=\boldsymbol{a}_{0}(\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}) \)
where \( a_{0} \) is a positive constant. Then
the only point in the container shown in
the figure where pressure is maximum,
is
\( A \cdot B \)
B.
\( c . E \)
\( D \)


A beam of light is incident on a glass slab \( (\mu=1.54) \) in a direction as shown
in the figure. The reflected light is
analysed by a polaroid prism. On
rotating the polaroid (take, \( \tan 57^{0}= \)
1.54)


Read the following statements and
identify the incorrect statement.
A. Volume of one mole of a gas at critical temperature is called molar volume.
B. Pressure of a gas at critical temperature is called critical pressure.
C. The critical temperature, pressure and volume are called critical constants.
D. Critical temperature is the highest temperature at which a gas can exist as liquid, above this temperature it is a gas.


Define mole fraction. A solution of
sucrose in water is labelled as \( 20 \% \) w/w.
What would be the mole fraction of each
component in the solution?


If a monochromatic beam of light undergoes minimum deviation through an equi angular prism, how does the beam pass through the prism, with respect to its base?
A. parallel to the base
B. not parallel to base
\( c \cdot \operatorname{both} A \& B \)
D. cant say


The first IE of lithium is \( 5.4 \mathrm{eV} \) and first
electron affinity of \( C l \) is \( 3.6 \mathrm{eV} \). The value
\( \Delta \boldsymbol{H} \) for the reaction \( \boldsymbol{L} \boldsymbol{i}_{(\boldsymbol{g})}+\boldsymbol{C l}(\boldsymbol{g}) \rightarrow \)
\( \boldsymbol{L} \boldsymbol{i}_{\boldsymbol{g})}^{+}+\boldsymbol{C l}_{(\boldsymbol{g})}^{-}, \) is \( (\text {in } \mathrm{eV}) \)
A . +1.8
в. +2.8
c. -2.8
\( D \ldots+9 \)


Solution of the linear equation \( 3 x+ \)
\( 0 y+7=0 \) in two variables is of the
form
A \( \cdot\left(\frac{-7}{3}, m\right) \)
в. \( \left(n, \frac{-7}{3}\right) \)
c. \( \left(0, \frac{-7}{3}\right) \)
D. (-7,0)


\( 0.804 \mathrm{g} \) sample of iron ore was dissolved in acid. Iron was oxidised to
+2 state and it required \( 47.2 \mathrm{mL} \) of
\( 0.112 N K M n O_{4} \) solution for
titration. Calculate \( \% \) of \( F e_{3} O_{4} \) in ore
(as nearest integer)


Write the structure of \( n \)
methylethanmine.


Passive absorption of minerals depends
upon
A. Humidity
B. Temperature
c. Temperature and metabolic inhibitor
D. Metabolic inhibitor


How can you change propane nitrile to propanal?


The self inductance of a coil having 500 turns is 50 mH. The magnetic flux through the cross-sectional area of the coil while current through it is 8 mA is found to be
A \( \cdot 4 \times 10^{-4} W b \)
в. \( 0.04 W b \)
c. \( 4 \mu W b \)
D. \( 40 m W b \)


Silver ore \( +\boldsymbol{C N}^{-}+\boldsymbol{H}_{2} \boldsymbol{O} \stackrel{\boldsymbol{O}_{2}}{\longrightarrow}[\boldsymbol{P}]+ \)
\( \boldsymbol{O} \boldsymbol{H}^{-} \)
\[
\begin{array}{c}
\downarrow \boldsymbol{Z} \boldsymbol{n} \\
{[\boldsymbol{Q}]+\boldsymbol{A} \boldsymbol{g}}
\end{array}
\]
In the process of extraction of silver, identify the complexes [P] and [Q].
A \( \cdot P=\left[A g(C N)_{4}\right]^{-}, Q=\left[Z n(C N)_{4}\right]^{2} \)
B . \( P=\left[A g(C N)_{4}\right]^{-}, Q=\left[Z n(C N)_{6}\right]^{4} \)
c. \( P=\left[A g(C N)_{4}\right]^{3-}, Q=\left[Z n(C N)_{4}\right]^{2} \)
D . \( P=\left[A g(C N)_{2}\right]^{-}, Q=\left[Z n(C N)_{4}\right]^{2} \)


f \( x \) is a positive integer, then \( \left|\begin{array}{ccc}\boldsymbol{x} ! & (\boldsymbol{x}+\mathbf{1}) ! & (\boldsymbol{x}+\mathbf{2}) ! \\ (\boldsymbol{x}+\mathbf{1}) ! & (\boldsymbol{x}+\mathbf{2}) ! & (\boldsymbol{x}+\mathbf{3}) ! \\ (\boldsymbol{x}+\mathbf{2}) ! & (\boldsymbol{x}+\mathbf{3}) ! & (\boldsymbol{x}+\mathbf{4}) !\end{array}\right| \) is equa
to
A \( \cdot 2 x !(x+1) ! \)
в. \( 2 x !(x+1) !(x+2) \)
c. \( 2 x !(x+3) ! \)
D. \( 2(x+1) !(x+2) !(x+3) ! \)


Assertion
Coloured cations can be identified by borax bead test.
Reason
Transparent bead \( \left(N a B O_{2}+B P_{3}\right) \)
forms coloured bead with coloured
cation.
A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion, then mark
B. If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion, then mark.
C. If Assertion is true statement but Reason is false, then mark
D. If both Assertion and Reason are false statements then mark.


Area enclosed between the curves \( |\boldsymbol{y}|= \)
\( 1-x^{2} \) and \( x^{2}+y^{2}=1 \) is
A \( \cdot \frac{3 \pi-14}{3} \) sq.units
B. \( \frac{\pi-8}{3} \) sq.units
c. \( \frac{2 \pi-8}{3} \) sq.units
D. None of these


Coefficients of friction between the flat
bed of the truck and crate are \( \mu_{s}=0.8 \)
and \( \mu_{k}=0.7 . \) The coefficient of kinetic
friction between the truck tires and the
road surface is \( 0.9 . \) If the truck stop
from an initial speed \( 15 m / s \) with maximum braking (wheels skidding).
Determine where on the bed the crate
finally comes to rest. (Take \( g=10 m / s^{2} \)
\( \mathbf{A} \cdot 2.77 m \)
B. 2.37 т
\( c .3 m \)
D. \( 1.77 m \)


A nurse measures the blood pressure of
a seated patient to be \( 190 \mathrm{mm} \) of Hg.
A. the blood pressure at the patient's feet is less than 190 \( \mathrm{mm} \) of \( \mathrm{Hg} \)
B. the actual pressure is about 0.25 times the atmospheric pressure.
C. the blood pressure at the patient's neck is more than \( 190 \mathrm{mm} \) of \( \mathrm{Hg} \)
D. the actual pressure is about 1.25 times the atmospheric pressure.


Which conductor has more electrical
conductivity?
A. Intrinsic semiconductors
B. Extrinsic semiconductors
c. Both have same
D. can't compare


Dynamo is a device that converts.
A. Alternating current into direct current
B. Electrical energy into mechanical energy
C. Mechanical energy into electrical energy
D. Heat energy into electrical energy


topp \( E \)
Q Type your question
A \( (\text { \curlyvee }) C H_{3} C H_{2} C H-C H_{2} O H \)
CHa
\( (X) \rightarrow \overbrace^{\mathrm{OH}} \mathrm{CH}_{2}^{-} \prod_{\mathrm{OH}}^{\mathrm{CH}-\mathrm{OCH}_{3}} \)
\( (X) \rightarrow \overbrace^{\mathrm{OH}} \mathrm{CH}_{2}-\underset{\mathrm{O}}{\|}^{\mathrm{C}-\mathrm{OCH}_{3}} \)
D \( \cdot(\curlyvee) C H_{3} C H_{2} C H_{2} C H_{2} C H_{2} O H \)
\( (X) \rightarrow \overbrace{[1]}^{\mathrm{O}} \mathrm{CH}_{2}-\underbrace{\mathrm{C}-\mathrm{O} \mathrm{CH}_{2} \mathrm{OH}} \)


A disc of mass \( M k g \) and radius \( R \)
metre is rotating at an angular speed of
\( \boldsymbol{\omega} \) rad/s when the motor is switched
off. Neglecting the friction at the axle, the force that must be applied
tangentially to the wheel to bring it to
rest in time \( t \) is
A \( \cdot \frac{M R \omega}{2 t} \)
B. \( \frac{M R \omega}{t} \)
c. \( \frac{2 M R \omega}{t} \)
D. \( \frac{M R^{2} \omega}{2 t} \)


\( A 60 \mu F \) capacitor is connected to a 110 \( \mathrm{V}(\mathrm{rms}), 60 \mathrm{Hz} \) ac supply. The rms value of Current in the circuit is:
A . 1.49 A
B. 14.9 A
c. 2.49 A
D. 24.9 A


Which one of the following compounds is shown its strongest hydrogen bonding?
A. Ammonia
в. \( H_{2} O_{2} \)
c. \( H F \)
D. \( H_{2} O \)


An evolutionary pattern characterised by increase in number and kind of closely related species is :
A. Convergent evolution
B. Parallel evolution
c. Adaptive radiation
D. Divergent evolution


Find out the correct relation for the
dependance of change in acceleration due to gravity on the angle at the latitude due to rotation of earth?
A \( . d g \propto \cos \phi \)
B. \( d g \propto \cos ^{2} \phi \)
c. \( d g \propto \cos ^{3 / 2} \phi \)
D. \( d g \propto \frac{1}{\cos \phi} \)


Calculate the value of molar gas
constant, \( ^{\prime} \boldsymbol{R}^{\prime} \) in (i) \( \boldsymbol{c} \boldsymbol{c} \boldsymbol{a} \boldsymbol{t} \boldsymbol{m} \boldsymbol{K}^{-1} \boldsymbol{m} \boldsymbol{o} \boldsymbol{l}^{-1} \)
(ii) \( \operatorname{tor} r c c K^{-1} m o l^{-1}(\text {iii }) \)
kPalitre \( \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1} \)


Which ore contains both iron and
copper?
A. Cuprite
B. Chalcocite
c. chalcopyrite
D. Malachite


The pH value of \( 10^{-7} \) M solution \( H C l \) is:
A. equal to 1
B. equal to 2
c. less than 7
D. equal to 0


If \( A \) denotes the area of free surface of a
liquid and \( h \) the depth of an orifice of
area of cross-section \( a \), below the liquid
surface, then find the velocity \( v \) of flow
through the orifice.


Two point charges of charge values \( Q \) and \( q \) are placed at a distance of \( x \) and \( x / 2 \) respectively from a third charge of
charge value \( 4 q, \) all charges being in
the same straight line. Calculate the
magnitude and nature of charge \( Q \) such that the net force experienced by the charge \( q \) is zero. (Assume q is located between charges \( 4 q \text { and } Q) \)


A plane makes intercept 1,2,3 on the co-ordinate axes. If the distance from
origin is \( p \) then find the value of \( p \)


A circular platform is mounted on a
frictionless vertical axle. Its radius \( \mathrm{R}=2 \mathrm{m} \)
and its moment of inertia about the axle
is \( 200 k g m^{2} \). It is initially at rest. A \( 50 \mathrm{kg} \)
man stands on the edge of the platform and begins to walk along the edge at the speed of \( 1 \mathrm{ms}^{-1} \) relative to the ground.
Time taken by the man to compete one
revolution with respect to disc is:
\( \mathbf{A} \cdot \pi s \)
B . \( \frac{3 \pi}{2} s \)
\( \mathbf{c} \cdot 2 \pi s \)
D. \( \frac{\pi}{2} s \)


solve:-
\( 1+\cos 2 x+\cos 4 x+\cos 6 x= \)
A \( .2 \cos x \cos 2 x \cos 3 x \)
B. 2 \( \cos x \sin 2 x \cos 3 x \)
\( \mathrm{c} \cdot 4 \cos x \cos 2 x \cos 3 x \)
D. \( 4 \cos x \sin 2 x \sin 3 x \)


The degree of the differential equation \( 1+\left(\frac{d y}{d x}\right)^{2}=x \) is


Which mineral has been named
incorrectly?
A. Bauxite \( : \quad A l_{2} O_{3} \cdot 2 H_{2} O \)
B. Corundum : \( \quad A l_{2} O_{3} \)
c. Cryolite : 3 NaF \( \cdot \) AIF\( _{3} \)
D. Felspar : \( \quad B e_{3} A l_{2} S i_{6} O_{18} \)


A car travels with a uniform velocity of \( 25 m s^{-1} \) for 5 s. The brakes are then
applied and the car is uniformly retarded and comes to rest in further 10
s. Find the distance travelled by the car
after applying the brakes.
A . 25 m
B. \( 625 \mathrm{m} \)
c. \( 125 \mathrm{m} \)
D. \( 0 m \)


Dentine is
A. Hard, protective covering on the tooth.
B. The cavity which contains nerves and blood vessels in a tooth.
C. Covering beneath the enamel.
D. The nerve that connects tooth and the brain.


The cell size doubles in a stage of cell
called
\( A \cdot M \)
в. \( G_{2} \)
\( c \cdot s \)
D. \( G_{1} \)


The equation of the plane passing through a point with position vector \( \hat{\mathbf{i}}+ \) \( 2 \hat{j}+3 \hat{j} \) and parallel to the plane \( \vec{r} \cdot(3 \hat{i}+4 \hat{j}+5 \hat{j}) \)
A \( \cdot 3 x+4 y-5 z+26=0 \)
B. \( 3 x+4 y+5 z-26=0 \)
c. \( 3 x-4 y+5 z-26=0 \)
D. \( 3 x+4 y-5 z-26=0 \)


The acceleration due to gravity is:
A. more at the equator than at the poles
B. not effected by the rotation of the earth
C. affected by the rotation of the earth
D. not effected by the latitude


The initial velocity of a particle, \( \vec{u}= \) \( 4 \vec{i}+3 \vec{j} . \) It is moving with uniform acceleration, \( \vec{a}=0.4 \vec{i}+0.3 \vec{j} . \) Its
velocity after 10 seconds is
A. 3 unit
B. 4 unit
c. 5 unit
D. 10 unit


You must have seen tarnished copper
vessels being cleaned with lemon or
tamarind juice. Explain why these sour substances are effective in cleaning the
vessels.


The Steam engine is based on which scientific principle?
A. Faradays laws of electromagnetic induction
B. Laws of thermodynamics
c. Ampere's Law
D. Total internal reflection of light


Two holes of unequal diameters \( d_{1} \) and
\( \boldsymbol{d}_{2}\left(\boldsymbol{d}_{1}>\boldsymbol{d}_{2}\right) \) are cut in a metal sheet. If
the sheet is heated
A. both \( d_{1} \) and \( d_{2} \) will decrease
B. both \( d_{1} \) and \( d_{2} \) will increase
c. \( d_{1} \) will increase, \( d_{2} \) will decrease
D. \( d_{1} \) will decrease, \( d_{2} \) will increase


Let \( A \) be area swept out by the line joining the earth and the sun during Feb. \( 1993 . \) The area swept out by the line during a typical week in Feb. 1993 is.
A. \( A \)
в. \( 2 A \)
\( c \cdot 4 A \)
D. \( \frac{A}{4} \)


\( 0.5 \mathrm{ml} \) of \( H_{2} \) and 0.5 mole of \( I_{2} \) react in
10 litre flask at \( 448^{\circ} \mathrm{C} \). The equilibrium
constant \( \boldsymbol{K}_{c} \) is \( \mathbf{5 0} \) for \( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons \)
\( 2 H I(g) \)
What is the value of \( \boldsymbol{K}_{\boldsymbol{p}} \) ?
A . 50
B. 20
c. 10
D. 40


When a metal rod is heated it expands
because
A. The size of its atoms increases
B. The distance among its atoms increases
C. Atmospheric air rushes into it
D. The actual cause is still unknown


\( P-V \) diagram of an ideal gas for a
process \( A B C \) is as shown in the figure. If the total heat absorbed or released by
the gas during the process \( A B C \) is
\( \operatorname{given} \operatorname{by} \boldsymbol{H}=-\boldsymbol{x} \boldsymbol{P}_{0} \boldsymbol{V}_{0}, \) what is the
value of \( x \) ?


For \( \boldsymbol{\alpha}, \boldsymbol{\beta}, \boldsymbol{\gamma} \in \boldsymbol{R}, \) let \( \boldsymbol{A}=\left[\begin{array}{ccc}\boldsymbol{\alpha}^{2} & \boldsymbol{6} & \boldsymbol{8} \\ \boldsymbol{3} & \boldsymbol{\beta}^{2} & \boldsymbol{9} \\ \boldsymbol{4} & \boldsymbol{5} & \boldsymbol{\gamma}^{2}\end{array}\right] \)
and \( \boldsymbol{B}=\left[\begin{array}{ccc}\mathbf{2} \boldsymbol{\alpha} & \boldsymbol{3} & \boldsymbol{5} \\ \boldsymbol{2} & \boldsymbol{2} \boldsymbol{\beta} & \boldsymbol{6} \\ \boldsymbol{1} & \boldsymbol{4} & \boldsymbol{2} \boldsymbol{\gamma}-\boldsymbol{3}\end{array}\right] \)
\( \boldsymbol{T}_{\boldsymbol{r}}(\boldsymbol{A})=\boldsymbol{T}_{\boldsymbol{r}}(\boldsymbol{B}) \) then the value of
\( \left(\frac{1}{\alpha}+\frac{1}{\beta}+\frac{1}{\gamma}\right) \) is
\( \boldsymbol{T}_{r}(\boldsymbol{A}) \) is a Trace \( (\boldsymbol{A}) \) of a matrix
\( A \)
B. 2
\( c .3 \)
D.


Choose the correct options for the figure
This question has multiple correct options
A. Point A is substitute into the equation for line \( l_{2} \)
B. Point A is substitute into the equation for line \( l_{1} \)
C. Point \( C \) is substitute into the equation for line \( l_{1} \)
D. Point \( C \) is substitute into the equation for line \( l_{2} \).


Draw the structure of the following compound:
p-Methylbenzaldehyde


The anticodon transfer RNA for the
messenger RNA codon GCA is:
A . TGA
в. GUT
c. AGT
D. cGu


Two particles \( X \) and \( Y \) having equal charges, after being accelerated through the same potential differences, enter in a region of uniform magnetic field and describe circular paths of radii
\( R_{1} \) and \( R_{2} \) respectively. The ratio of the mass of \( X \) to that of \( Y \) is :
\( ^{A} \cdot\left(\frac{R_{1}}{R_{2}}\right)^{1 / 2} \)
\( ^{\text {в. }}\left(\frac{R_{1}}{R_{2}}\right)^{-1} \)
\( ^{c} \cdot\left(\frac{R_{1}}{R_{2}}\right)^{2} \)
D. \( \left(\frac{R_{1}}{R_{2}}\right) \)


Which of the following is not a biomass
energy source?
A. woodd
B. Cow dung
c. sugarcane
D. coal


If \( \mathrm{SR}=100 \) torr and \( \mathrm{PR}=350 \) torr, then
which of the following cannot be a mole
fraction of \( A \) in vapour phase and a mole
fraction of \( A \) in liquid phase
respectively?
This question has multiple correct options
A \( \cdot \frac{3}{10} \) and \( \frac{2}{9} \)
B. \( \frac{7}{9} \) and \( \frac{3}{10} \)
c. \( \frac{2}{9} \) and \( \frac{7}{10} \)
D. \( \frac{2}{9} \) and \( \frac{3}{10} \)


The diagram shows two arcs, A and B.
Arc A is part of the circle with centre 0 and radius OP. Arc B is part of the circle
with centre \( \mathrm{M} \) and radius PM, where M is
the mid - point of PQ. Show that the area
enclosed by the two arcs is equal to 25 \( \left(\sqrt{3}-\frac{\pi}{6}\right) c m^{2} \)


Distinguish between RNA and DNA :


An object is placed at a distance of \( 0.25 m \) in front of a plane mirror. The distance between the object and the
image is:
A. \( 0.5 m \)
в. \( 1 m \)
c. \( 0.25 m \)
D. \( 0.75 m \)


If \( a>1, b>1, \) then the minimum
value of \( \log _{b} a+\log _{a} b \) is
A .
B. 1
\( c \cdot 2 \)
D. none of these


Very Short Answer Type Questions:
What is the function of carbon dioxide?


In the given figure atmospheric
pressure is \( P_{0} \) then Pressure at \( A \) will
be
\( A \cdot P_{0} \)
B. \( P_{0}-\frac{2 T}{R} \)
\( ^{\mathbf{C}} P_{0}+\frac{2 T}{R} \)
D \( P_{0}-\frac{4 T}{R} \)


If a \( \boldsymbol{H}_{2} \) nucleus is completely converted into energy, the energy produced will be around
A . \( 1 \mathrm{MeV} \)
в. 1863 Ме \( V \)
\( \mathbf{c} .9 .39 \mathrm{MeV} \)
D. 238 MeV


Assertion
Bond order of \( \boldsymbol{O}_{2} \) and \( \boldsymbol{B} \boldsymbol{N} \) is same.
Reason
\( O_{2} \) and \( B N \) are isoelectronic.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct


We have the mass of bullet \( =\boldsymbol{m}_{1}= \)
\( 20 g(=0.02 k g) \) and the mass of the
pistol, \( \boldsymbol{m}_{2}=2 k g ; \) initial velocities of
the bullet \( \left(u_{1}\right) \) and pistol \( \left(u_{2}\right)=0 \) respectively. The final velocity of the
bullet, \( \boldsymbol{v}_{1}=+150 m s^{-1} . \) The direction of
bullet is taken from left to right (positive, by convention.) Let v be the recoil velocity of the pistol.


A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small as compared to
the mass of the earth.
A. The acceleration of S is always directed towards the centre of earth
B. The angular momentum of S about the centre of earth changes in direction but its magnitude remains constant
C. The total mechanical energy of S varies periodically with time
D. The linear momentum of S remains constant in magnitude


Which of the following are tertiary radicals?
(a) \( \left(\mathrm{CH}_{3}\right)_{3} \mathrm{C}- \)
(b) \( \left(\mathrm{CH}_{3}\right)_{2} \mathrm{CH}- \)
(c) \( \left(\mathrm{CH}_{3}\right)_{2} \mathrm{C}-\mathrm{C}_{2} \mathrm{H}_{5} \)
(d) \( \left(\mathrm{CH}_{3}\right)_{3} \mathrm{C}-\mathrm{CH}_{2}- \)
\( A \cdot a, b \)
в. b,
\( c . \) a,
D. b, d


Consider the following graph and mark
the correct statement.
A. Chemical equilibrium in the reaction. \( H_{2}+I_{2} \rightleftharpoons 2 H I \) can be attained from either directions
3. Equilibrium can be obtained when \( H_{2} \) and \( I_{2} \) are mixed
an open vessel
C. The concentrations of \( H_{2} \) and \( I_{2} \) keep decreasing while concentration of \( H I \) keeps increasing with time.
D. We can find out equilibrium concentration of \( H_{2} \) and
\( I_{2} \) from the given graph


Why do algae and fungi shift to sexual mode of reproduction just before the onset of adverse conditions?


First long period contains elements.
A . 8
B. 18
\( c .32 \)
\( D \)


Find the point on the curve \( y^{2}=8 x \) for
which the abscissa and ordinate
change at the same rate.


The radius of a circles \( 17 \mathrm{cm} \) and the
length of one of its chord is \( 16 \mathrm{cm} \). Find
the distance of the chord from the
centre


Which gate can be obtained by shorting both the input terminals of a NOR gate?
A . NOT
в. ов
c. AND
D. NAND


Assertion
Two protons and two neutrons are each
separated by a distance of \( \mathbf{r}=\mathbf{1 0}^{-14} \mathbf{m} \)
which is the size of the nucleus. Hence
the force between two neutrons will be
greatest.
Reason
At distances of the order of \( 10^{-14} \mathrm{m} \)
neutrons and protons exert very strong attractive forces on each other and this
force does not depend on the charge.
A. Statement l is True and Statement 2 is True and is a correct explanation of Statement 1
B. Statement lis True and Statement 2 is True but not a correct explanation of Statement
c. statement lis True and Statement 2 is False
D. Statement lis False and Statement 2 is True


In the creation of rainbow, the process
occurs in which of the following order?
A. reflection, refraction, dispersion and total internal reflection
B. refraction, reflection, dispersion and total internal reflection
C. dispersion, refraction, reflection and total internal reflection
D. total internal reflection, refraction, dispersion and reflection


Decrease in the pressure for the following equilibria: \( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{s}) \rightleftharpoons \boldsymbol{H}_{2} \boldsymbol{O}(l) \)
result in:
This question has multiple correct options
A. Formation of more \( H_{2} O(s) \)
B. Formation of more \( H_{2} O(l) \)
C . increase in melting point of \( H_{2} O(s) \)
D. decrease in melting point of \( H_{2} O(s) \)


A wheel is making revolutions about its axis with uniform angular acceleration.
Starting from rest, it reaches 100 rev/sec in 4 seconds.Find the angular
acceleration. Find the angle rotated during these four seconds.


If a particle is executing \( S H M \) on a
straight line. \( A \) and \( B \) are two points at which its velocity is zero. It passes
through a certain point \( \boldsymbol{P}(\boldsymbol{A} \boldsymbol{P}<\boldsymbol{P B}) \)
at successive intervals of 0.5 sec and
1.5 sec with a speed of \( 3 \mathrm{m} / \mathrm{s} \). The maximum speed of the particle is
A. \( 3 m / s \)
B. \( 3 \sqrt{2} \mathrm{m} / \mathrm{s} \)
\( \mathbf{c} \cdot 3 \sqrt{3} m / s \)
D. \( 6 m / s \)


How do the following structures help in respiration in plants?
(a) Lenticels
(b) Stomata
(c) Root hairs


B-DNA double helix makes a complete
turn with
A. Every 10 base pairss
B. Every 20 base pairss
C. Every 36 base pairs
D. Every 3-6 base pairs


What transition of \( L i^{+2} \) spectrum will
have same wavelength as that of
second line of Balmer series in \( \boldsymbol{H} \boldsymbol{e}^{+} \)
spectrum?


The domain of \( \boldsymbol{f}(\boldsymbol{x})=\frac{\mathbf{1}}{\sqrt{\boldsymbol{x}^{2}-\boldsymbol{4}}} \) is
\( \mathbf{A} \cdot(-\infty, 4) \)
в. (-2,3)
\( c \cdot(4, \infty) \)
D. \( (-\infty,-2) \cup(2, \infty) \)


The resultant of \( \vec{P} \) and \( \vec{Q} \) is \( \vec{R} \). If \( \vec{Q} \) isdoubled, \( \vec{R} \) is doubled; when \( \vec{Q} \) is reversed, \( \overrightarrow{\boldsymbol{R}} \) is again doubled. Find \( \boldsymbol{P} \) :
\( \boldsymbol{Q}: \boldsymbol{R} \)


Choose the correct statement.
A. Power of magnets in hydro power plants increases with time.
B. Magnets are involved in the generation of electricity in hydro power plants.
C. In hydro power plants, magnetic energy is converted into electrical energy.
D. In hydro power plants, electrical energy is converted into magnetic energy.


The frequency of an alternating potential is \( 50 H z \), then the time difference corresponding to a phase
angle of \( 50^{\circ} \) is
A . 60 sec
B. 1 sec
c. \( (1 / 60) \) sec
D. \( (1 / 360) \) sec


of the body is a measure of inertia. Fill in the blanks.
A. Mass
B. Force
c. velocity
D. speedd


The strength of a magnet is in
the middle and
A. weakest, weakest
B. strongest, strongest
c. weakest, strongest
D. strongest, weakest


\( \boldsymbol{H}_{2} \boldsymbol{O}_{2}+\boldsymbol{O}_{3} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}+\mathbf{2} \boldsymbol{O}_{2}, \) in this
reaction
A. \( H_{2} O_{2} \) is bleached
B. \( H_{2} O_{2} \) is oxidised
C. \( H_{2} O_{2} \) is dehydrated
D. \( H_{2} O_{2} \) is neither oxidised nor reduced


The glass tube in simple barometer is
A. Open at both ends
B. Close at one end
c. close at both ends
D. None


\( \int \frac{\boldsymbol{x}^{2}+\mathbf{1}}{\boldsymbol{x}^{4}+\mathbf{1}} \boldsymbol{d} \boldsymbol{x}= \)
\( \mathbf{A} \cdot \frac{1}{\sqrt{2}} \tan ^{-1}\left(\frac{x^{2}+1}{\sqrt{2 x}}\right)+c \)
\( \mathbf{B} \cdot \tan ^{-1}\left(\frac{x^{2}+1}{\sqrt{2 x}}\right)+c \)
\( \mathbf{C} \cdot \frac{1}{\sqrt{2}} \tan ^{-1}\left(\frac{x^{2}-1}{\sqrt{2 x}}\right)+c \)
\( \mathbf{D} \cdot \tan ^{-1}\left(\frac{x^{2}-1}{\sqrt{2 x}}\right)+c \)


Which term of the A.P : 21, 18,15,.... is
zero?


Short / Long type answer type questions.
Draw a diagram to show the external structure of the human heart and label
its various parts
Mention the path by which the deoxygenated blood from the intestine
travels up to the lungs.


toppr
Q Type your question
A \( x \)
reaction but not haloform reaction,
whereas \( S \) undergoes haloform reaction
but not Cannizzaro reaction.
(i) \( P \frac{i) O_{3} / C H_{2} C l_{2}}{i i) Z n / H_{2} O} \underset{\left(C_{8} H_{8} O\right)}{Q} \)
(ii) \( \boldsymbol{R} \frac{i) \boldsymbol{O}_{3} / \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C l}_{2}}{\boldsymbol{i} \boldsymbol{i}) \boldsymbol{Z} \boldsymbol{n} / \boldsymbol{H}_{2} \boldsymbol{O}} \boldsymbol{S}_{\left(\boldsymbol{C}_{8} \boldsymbol{H}_{8} \boldsymbol{O}\right)} \)
The option(s) with suitable
combination of \( \boldsymbol{P} \) and \( \boldsymbol{R} \), respectively, is
\( (\operatorname{are}) \)
This question has multiple correct options
\( A \)
B.
c.
D.


Nuclear fusion reactions cannot be
harnessed for productive applications because:
A. These reactions require very high temperature and are controllable.
B. These reactions require very high temperature and are uncontrollable
c. These reactions require very low temperature and are uncontrollable
D. These reactions require very low temperature and are controllable


\( \operatorname{Let} \boldsymbol{A}=\left[\begin{array}{ll}\boldsymbol{a} & \boldsymbol{b} \\ \mathbf{0} & \mathbf{1}\end{array}\right] \) where \( \boldsymbol{a} \neq \mathbf{0} . \) Then
\( \boldsymbol{A}^{n}=? \)
\( A^{n}=\left[\begin{array}{cc}a^{n} & \frac{b\left(a^{n}-1\right)}{(a-1)} \\ 0 & 1\end{array}\right] \)
\( A^{n}=\left[\begin{array}{cc}\frac{a\left(b^{n}-1\right)}{(b-1)} & \frac{b\left(a^{n}-1\right)}{(a-1)} \\ 0 & 1\end{array}\right] \)
\( ^{\mathbf{C}}, \quad A^{n}=\left[\begin{array}{cc}a^{n} & b^{n} \\ 0 & 1\end{array}\right] \)
D. none of these


Which of the following is wrong
statement?
A. In oxymercuration and demercuration reaction, alcohol is formed by Markovnikov addition
B. In hydroboration oxidation reaction, alcohol is formed by anti-Markovnikov addition
C. Regiospecificity of HBO reaction is syn
D. Regiospecificity of oxymercuration and demercuration reaction is anti-rearrangement occurs


Assertion
The specific charge of canal rays is not
constant.
Reason
The mass of ion varies with speed.
A. Assertion is correct but Reason is wrong.
B. Assertion is wrong but Reason is correct.
C. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
D. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion


The magnetic field of the earth can be modelled by that of a point dipole placed at the centre of the earth. The
dipole axis makes an angle of \( 11.3^{\circ} \)
with the axis of the earth. At Mumbai,
declination is nearly zero. Then,
A. The declination varies between \( 11.3^{\circ} \mathrm{W} \) to \( 11.3^{\circ} \mathrm{E} \)
B. The least declination is \( 0^{\circ} \)
C. The plane defined by dipole axis and the earth axis passes through Greenwich
D. Declination averaged over the earth must be always negative


If \( P(-7)=0 \) then a factor of \( P(x) \) is
\( \mathbf{A} \cdot x-1 \)
B. \( x+1 \)
c. \( x+7 \)
D. \( x-7 \)


The carbon atoms in \( C_{2}(C N)_{4} \) are:
\( \mathbf{A} \cdot s p \) hybridized
B \( \cdot s p^{2} \) hybridized
C \( . s p \) and \( s p^{2} \) hybridized
D. \( s p, s p^{2} \) and \( s p^{3} \) hybridized


In Fibrous proteins,polypeptide chains are held together by:
A. hydrogen bonds
B. disulphide bonds
c. both \( A \) and \( B \)
D. none of these


Prove that \( \cos ^{2} 45^{\circ}-\sin ^{2} 15^{\circ}=\frac{\sqrt{3}}{4} \)


A ball moving with a momentum of \( 5 k g m / s \) strikes against a wall at angle of
\( 45^{\circ} \) and is deflected at the same angle.
Calculate the change in momentum.


Which of the following taxonomic rank
contain organisms most similar to one
another?
A. Genus
B. species
c. Family
D. class


\( \int_{1}^{2}\left(x+\frac{1}{x}\right)^{3 / 2} \frac{x^{2}-1}{x^{2}} d x \)
\( \mathbf{A} \cdot \frac{5}{2} \sqrt{\left(\frac{5}{2}\right)}+\frac{8}{5} \sqrt{2} \)
B \( \cdot \frac{5}{2} \sqrt{\left(\frac{5}{2}\right)}-\frac{8}{5} \sqrt{2} \)
\( \mathrm{C} \cdot \sqrt{\left(\frac{5}{2}\right)}-\frac{8}{5} \sqrt{2} \)
D \( \frac{3}{2} \sqrt{\left(\frac{3}{2}\right)}-\frac{8}{5} \sqrt{2} \)


Dams are large or small structure which stop the natural flow of water for
the purpose of generation
and


\( \int_{0}^{\pi / 2} \sin 2 x d x \) is
A . 2
B. 0
c. 1
D. - -


For \( \boldsymbol{Z} \boldsymbol{n}^{2+} / \boldsymbol{Z} \boldsymbol{n}, \boldsymbol{E}^{\boldsymbol{o}}= \)
\( -0.76 V, \) for \( A g^{+} / A g, E^{o}=0.799 V \)
The correct statement is :
A. the reaction \( Z n \) getting reduced \( A g \) getting oxidized is spontaneous
B. \( Z n \) undergoes reduction and \( A g \) is oxidized
C. \( Z n \) undergoes oxidation and \( A g^{+} \) gets reduced
D. no suitable answer


The movement of Moon around Earth is
called
A. Translation
B. Oscillation
c. Rotation
D. Revolution


The equation of \( y \) axis is
A \( . \quad x=0 \)
\( \mathbf{B} \cdot y=0 \)
\( \mathbf{c} \cdot x=k \)
D. None of these


Arrange \( A, B, C, D \) in ascending order
A) Maximum value of \( \sin 5 x \)
B) Minimum value of \( x+\frac{1}{x}(x>0) \)
C) Minimum value of \( 4 \times 2^{\left(x^{2}-3\right)^{3}+27} \)
D) Minimum value of \( 5 \sin ^{2} x+3 \cos ^{2} x \)
\( A \cdot A, B, D, C \)
B. A, C, B, D
c. \( A, D, B, C \)
D. B, D, A, C


Dark reaction of photosynthesis is called as
A. Aphotic action
B. Black action
c. Blackman's reaction
D. None of the above


If \( \boldsymbol{x}=\tan \left(e^{-y}\right), \) then show that \( \frac{d y}{d x}= \)
\( \frac{e^{-y}}{1+x^{2}} \)


The term Black gold is used for:
A . coal
B. petroleum
c. graphite
D. charcoal


Consider the Earth as a short magnet with its centre coinciding with the centre of the Earth and dipole moment
is \( M . \) The angle of dip \( \delta \) is related to latitude \( \lambda \) as :
\( A \cdot \tan \delta=\tan \lambda \)
B. \( \tan \delta=2 \tan \lambda \)
\( c \cdot \tan \delta=\frac{\tan \lambda}{2} \)
D. \( \tan \delta=\cot \lambda \)


Which of the following statements is not correct about equilibrium?
A. It can be achieved in a closed vessel
B. It can be attained from either side
C. It can be attained only from reactants side
D. It can be attained in lesser time using positive catalyst


150 g of ice is mixed with 100 g of water at temperature \( 80^{\circ} \mathrm{C} \). The latent heat of
ice is 80 cal/g and the specific heat of
water is 1 cal/g \( -^{\circ} C \). Assuming no heat loss to the environment, the amount of
ice which does not melt is
A. \( 100 \mathrm{g} \)
B. 08
c. \( 150 g \)
D. 50


\( \int \frac{\boldsymbol{d} \boldsymbol{x}}{(\boldsymbol{x}+\mathbf{1})(\boldsymbol{x}-\mathbf{2})}=\boldsymbol{A} \log (\boldsymbol{x}+\mathbf{1})+ \)
\( \boldsymbol{B} \log (\boldsymbol{x}-\boldsymbol{2})+\boldsymbol{C}, \) where
This question has multiple correct options
\( \mathbf{A} \cdot A+B=0 \)
в. \( A B=0 \)
c. \( \frac{A}{B}=-1 \)
D. none of these


At room temperature, if the relative
permittivity of water be 80 and the relative permeability be 0.0222 , then the velocity of light in water is
\( \boldsymbol{m} / \boldsymbol{s}^{-1} \)
A . \( 3 \times 10^{8} \)
В. \( 2.25 \times 10^{8} \)
c. \( 2.5 \times 10^{8} \)
D. \( 3.5 \times 10^{8} \)


What is the gauge pressure at the water mercury interface?


When \( 3.0 g \) of carbon is burnt in \( 8.00 g \)
oxygen, \( 11.00 g \) of carbon dioxide is produced? What mass of carbon dioxide will be formed when \( 3.00 g \) of carbon is
burnt in \( 50.00 g \) of oxygen? Which law of chemical combination will govern your
answer?


In the Rosenmund's reaction,
\( \boldsymbol{R} \boldsymbol{C O C l}+\boldsymbol{H}_{2} \frac{\boldsymbol{P d} / \boldsymbol{B a S O}_{4}}{\boldsymbol{P} \boldsymbol{R} \boldsymbol{H} \boldsymbol{O}+} \)
\( \boldsymbol{H} \boldsymbol{C l} \)
Here \( \boldsymbol{B a S O}_{4} \)
A. promotes catalytic activity of \( P d \)
B. removes the \( H C l \) formed in the reaction
c. deactivates palladium
D. activates palladium


\( \sim[\boldsymbol{p} \wedge(\sim \boldsymbol{q})]= \)
\( \mathbf{A} \cdot \sim p \wedge \sim q \)
в. \( \sim p \vee \sim q \)
\( \mathbf{c} . \sim p \wedge q \)
\( \mathrm{D} \cdot \sim p \vee q \)


Select the correct statement(s) about
NHE.
This question has multiple correct options
\( \mathbf{A} \cdot E^{\ominus} \) of \( \mathrm{NHE} \) is arbitrarilly assumed to be zero.
B. \( E^{\ominus} \) of NHE is equal to zero.
\( \mathbf{C} \cdot \) NHE refers as \( P t, H_{2}(g) \mid H_{a=1}^{\oplus}(a q) \) at \( 25^{\circ} C \)
D. NHE is very susceptible to dissolved \( O_{2}, H_{2} S \), and all other reducing agents.


Determine the contrapositive of the following statement:
If she works, she will earn money


One Indian and four American men and
their wives are to be seated randomly around a circular table. Then the
conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated adjacent to his wife is
A . \( 1 / 2 \)
B. \( 1 / 3 \)
\( c \cdot 2 / 5 \)
D. \( 1 / 5 \)


Element \( X \) is a metal with a valency \( 2, Y \) is a non-metal with a valency \( 3 . \) If \( Y \) is a diatomic gas, write an equation for the direct combination of \( X \) and \( Y \) to form a
compound.


Predict the mode of occurrence of the
following metals:
The correct answer is:
A. \( N a \rightarrow \) combined form
B. \( F e \rightarrow \) combined form
c. \( A u \rightarrow \) combined form
D. none of these


The point intersection of the tangents drawn to the curve \( x^{2} y=1-y \) at the
points where it is met by the curve \( x y=1-y \) is given by
A \( .(0,1) \)
в. (1,1)
c. (1,0)
(i) 5
D. \( (0, \infty) \)


The process of depositing a thin layer of desired metal over another metal by passing an electric current through some electrolyte is called:
A. electric shielding
B. electric polishing
c. electric coating
D. electroplating


What happens when acetic acid is
treated with ethanol in the presence of
concentrated \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) ? Give the
equation of the reaction


A biconvex lens has focal length of 25
cm. the radius of curvature of one the
surface is double of the other. Find the
radii. given \( \mu_{l e n s}=1.5 \)
A. \( 37.5 \mathrm{cm}, 75 \mathrm{cm} \)
B. \( 18.75 \mathrm{cm}, 37.5 \mathrm{cm} \)
\( c .7 .5 \mathrm{cm}, 15 \mathrm{cm} \)
D. \( 15 \mathrm{cm}, 30 \mathrm{cm} \)


An organic substance essential for
activity of an enzyme is
A. Apoenzyme
B. Holoenzyme
c. Isoenzyme
D. coenzyme


Nicotiana sylvestris flowers only during long days and \( N \). tabacum flowers only
during short days.If raised in the laboratory under different
photoperiods,they can be induced to
flower at the same time and can be
cross-fertilized to produce self-fertile offspring.What is the best reason for considering N.sylvestris and N.tabacum to
be separate species?
A. They cannot interbreed in nature
B. They are reproductively distinct
C. They are physiologically distinct
D. They are morphologically distinct.


Fermi energy level for intrinsic semiconductors lies
A. At middle of the band gap
B. Close to valence band
c. close to conduction band
D. None of the above


Find the coefficient of \( x^{5} \) in the product
\( (1+2 x)^{6}(1-x)^{7} \) using binomial
theorem.


The minimum depth in the soil where all the spaces are filled with water is called:
A. saturation level
B. ground water table
c. ground water
D. water table


Recent X-ray work, IR and other
spectroscopic methods have proved that Turnbull's blue is identical to
Prussian blue. What is the common
formula of Turnbull's blue and Prussian
blue?
\( \mathbf{A} \cdot F e_{3}\left[F e(C N)_{6}\right]_{2} \)
B . \( F e_{4}\left[F e(C N)_{6}\right]_{3} \)
c. \( K F e\left[F e(C N)_{6}\right] \)
D. \( K F e_{2}\left[F e(C N)_{6}\right] \)


Find the derivation of \( \sqrt{\tan x} \) with respect to x using first principle.


A liquid takes 5 minutes to cool from
\( 80^{\circ} \mathrm{C} \) to \( 50^{\circ} \mathrm{C} . \) How much time(in mins)
will it take to cool from \( 60^{\circ} \mathrm{C} \) to \( 30^{\circ} \mathrm{C} \) ?
The temperature of surrounding is \( 20^{\circ} \mathrm{C} \)
Use exact method.


The binding energies energy per
nucleon for \( C^{12} \) is \( 7.68 M e V \) and that
for \( C^{13} \) is 7.5 MeV.The energy required
to remove a neutron from \( C^{13} \) is
A. \( 5.34 \mathrm{MeV} \)
B. 5.5 MeV
c. \( 9.5 \mathrm{MeV} \)
D. \( 9.34 \mathrm{MeV} \)


Assertion
100 years make 10 decades.
Reason
Every century is divided into 10 decades.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct


The molar conductivity of a
\( 0.5 m o l / d m^{3} \) solution of \( A g N O_{3} \) with electrolytic conductivity of \( 5.76 \times \) \( 10^{-3} \operatorname{Scm}^{-1} \) at \( 298 K \) is:
A \( .2 .88 S \mathrm{cm}^{2} / \mathrm{mol} \)
B . \( 11.52 \mathrm{S} \mathrm{cm}^{2} / \mathrm{mol} \)
c. \( 0.086 S \mathrm{cm}^{2} / \mathrm{mol} \)
D. \( 28.8 S \mathrm{cm}^{2} / \mathrm{mol} \)


The specific resistance of a rod of
copper as compared to that of thin wire of copper is
A. more
B. less
c. same
D. depends upon the length and area of wire


What is \( Z \) in the following reaction sequence? \( C_{6} H_{5} N H_{2} \frac{(i) N a N O_{2}+H C l / 27}{(i i) H_{3} P O_{2}+H_{2} O(i i i) C O, H C l ; a n h y} \)
\( Z \)
A. \( C_{6} H_{5} C O_{2} H \)
в. \( C_{6} H_{5} O H \)
c. \( C_{6} H_{5} C H O \)
D. \( C_{6} H_{6} \)


ZZ/ZW type of sex determination is
seen in
A. Platypus
B. Snails
c. cockroach
D. Peacock


Assume that the nuclear binding energy per nucleon (B/A) versus mass number
(A) is as shown in the figure. Use
this plot to choose the correct choice(s)
given below.
This question has multiple correct options
A. Fusion of two nuclei with mass numbers lying in the range of \( 1<A<50 \) will release energy
B. Fusion of two nuclei with mass numbers lying in the range of \( 51<A<100 \) will release energy
c. Fission of a nucleus lying in the mass range of 100 < \( A<200 \) will release energy when broken into two equal fragments
D. Fission of a nucleus lying in the mass range of \( 200< \) \( A<260 \) will release energy when broken into two
equal fragments


A long cylindrical tank of cross-
sectional area \( 0.5 m^{2} \) is filled with
water. It has a small hole at a height
\( 50 \mathrm{cm} \) from the bottom. A movable
piston of cross-sectional area almost
equal to \( 0.5 m^{2} \) is fitted on the top of the
tank such that it can slide in the tank
freely. A load of \( 20 k g \) is applied on the
top of the water by piston, as shown in
the figure. Calculate the speed of the
water jet with which it hits the surface
when piston is \( 1 m \) above the bottom.
(Ignore the mass of the piston).


Our intestines become weak whenever
we consume strong antibiotics for the bacteria related diseases. Explain.


Evaluate the definite integral \( \int_{0}^{1} \frac{\boldsymbol{d} \boldsymbol{x}}{\sqrt{\mathbf{1}+\boldsymbol{x}}-\sqrt{\boldsymbol{x}}} \)


Shoot apex is protected by
A. Root cap
B. Shoot cap
c. Calyptra
D. Primordial leaves


refers to amount of electricity
while \( \quad \) refers to rate at which it
flows.
A. Ampere, coloumb
B. Coloumb, ampere
c. Faraday, coloumb
D. Coloumb, faraday


Consider the following statements:
(A) Nuclear force is chargeindependent.
(B) Radioactivity which is the spontaneous emission of \( (\boldsymbol{\alpha}, \boldsymbol{\beta}, \boldsymbol{\gamma}) \)
particles is often influenced by chemical or
physical processes.
(C) A free neutron is unstable whereas a
free proton is stable.
(D) Half-life time of \( x \) radioactive
element is fifty percent of its average life period. Which of the above statement/s is/are
correct?
\( A \cdot(A) \) only
B. (A) and (C)
c. \( (A),(C) \) and \( (D) \)
D. (B) and (C)


A physician wishes to prepare a buffer solution at \( \mathrm{pH}=3.58 \) that efficiently resists a change in pH yet contains only small conc. of the
buffering acid. Which one of the following weak acid together with its sodium salt, would be best to use.
A . m - chloro benzoic acid \( \left(p K_{a}=3.98\right) \)
B. p- chloro cinnamic acid \( \left(p K_{a}=4.41\right) \)
C. 2,5 - dihydroxy benzoic acid \( \left(p K_{a}=2.97\right) \)
D. Acetoacetic acid ( \( p K_{a}=3.58 \) )


The sum of first three terms of a \( G . P \) is
to the sum of the first six terms as
\( 125: 152 . \) Find the common ratio of the
\( G . P \)
A \( \cdot \frac{3}{5} \)
в. \( \frac{5}{3} \)
\( c \cdot \frac{2}{3} \)
D. \( \frac{3}{2} \)


Kinetic energy of a gas molecule depends on:
A. Volume
B. Temperature
c. Pressure
D. None of these


Which of the following are aprotic solvents?

This question has multiple correct options
A . DMSO
в. DMF
c. \( H_{2} O \)
D. \( C H_{3} \) СООН


In the given figure, the electron enters into the magnetic field. It deflects in \( x \) direction

Two parallel beams of electrons moving in the same direction produce a mutual force
\( A \cdot+ \) ve \( X \) direction
B. - ve X direction
c. \( + \) ve \( Y \) direction
D. - ve Y direction


In monomeric \( B H_{3} \), let an axis
definition place the molecule in the \( x z \)
plane. Which atomic orbital on \( B \) is non
bonding?
A \( \cdot 2 s \)
в. \( 2 p_{x} \)
\( c \cdot 2 p_{y} \)
D. \( 2 p_{z} \)


Which of the following compound cannot be prepared?
A \( \cdot \mathrm{xeF}_{2} \)
в. \( \mathrm{XeF}_{3} \)
c. \( \mathrm{xeF}_{4} \)
D. XeF \( _{6} \)


A rigid body of mass m rotates with angular velocity \( \omega \) about an axis at a
distance a from the centre of mass \( C \).
The radius of gyration about \( C \) is \( K \) Then, kinetic energy of rotation of the body about new parallel axis is :
A \( \cdot \frac{1}{2} m K^{2} \omega^{2} \)
B \( \cdot \frac{1}{2} m a^{2} \omega^{2} \)
c. \( \frac{1}{2} m\left(a+K^{2}\right) \omega^{2} \)
D. \( \frac{1}{2} m\left(a^{2}+K^{2}\right) \omega^{2} \)


A balloon which always remains spherical, has a variable diameter \( \frac{3}{2}(2 x+3) . \) The rate of change of volume with respect to \( x \) will be
A \( \cdot \frac{27 \pi}{8}(2 x-3)^{2} \)
в. \( \frac{27 \pi}{8}(2 x+3)^{2} \)
c. \( \frac{27 \pi}{8}(3 x-2)^{2} \)
D. \( \frac{8}{27 \pi}(2 x+3)^{2} \)


The energy of the reaction \( L i^{7}+p \longrightarrow \) \( 2 H e^{4} \) is (the binding energy per
nucleon in \( L i^{7} \) and \( H e^{4} \) nuclei are 5.60
and \( 7.06 \mathrm{MeV} \) respectively.
A. 17.3 Mev'
B. 1.73 MeV
c. 1.46 Mev
D. Depends on binding energy of proton


is the
distance between consecutive
corresponding points of the same
phase, such as crests, troughs, compressions, rarefactions or zero crossings and is a characteristic of
both travelling waves and standing waves, as well as other spatial wave
patterns.
A. frequency
B. amplitude
c. wavelength
D. none of these


The stoichiometric coefficient of
manganese dioxide in the balanced
chemical reaction when potassium
permanganate is added to a hot
solution of manganous sulphate is


The auto-reduction process is not used in the metallurgy of
A. \( H g \)
в. \( C u \)
\( c \cdot P b \)
D. \( F e \)


Two concentric coils of 10 turns each
are placed in the same plane. Their radii are \( 20 \mathrm{cm} \) and \( 40 \mathrm{cm} \) and carry \( 0.2 \mathrm{A} \) and 0.3 A current respectively in opposite directions. The magnetic induction (in tesla) at the centre is :
A \( \cdot \frac{3}{4} \mu_{0} \)
в. \( \frac{5}{4} \mu_{0} \)
c. \( \frac{7}{4} \mu_{0} \)
D. \( \frac{9}{4} \mu_{0} \)


The thick-thread stage occurs in
A. Leptotene
B. Zygotene
c. Pachytene
D. Diplotene


Seed develops from
A. Embryo
B. Ovule
c. Embryo sac
D. Ovary


If \( \boldsymbol{y}=\boldsymbol{x} \sqrt{1-\boldsymbol{x}^{2}}+\sin ^{-1} \boldsymbol{x}, \) then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) is


Uranium with a mass number 237 and
atomic number \( 92, \) changes to a
nucleus with atomic number 90 and
mass number 233 on emission of:
A. \( \beta \) -particle
B. \( \gamma \) -particle
c. \( \alpha \) -particle
D. positron


If the median of the following frequency distribution is \( 46 . \) find the absolute
difference of missing frequencies
\( \begin{array}{ccc}10- & 20- & 30- \\ 20 & 30 & 40\end{array} \) variable
Frequency 12
30


Formation of platelets is known as
A. Haemopoiesis
B. Thrombopoiesis
c. Haemolysis
D. None of the above


A barometer reads \( 75 \mathrm{cm} \) of mercury.
When \( 2.0 \mathrm{cm}^{3} \) of air at atmospheric
pressure is introduced into space above the mercury level, the volume of the space becomes \( 50 \mathrm{cm}^{3} \). The length
by which the mercury column descends is
A. \( 3 \mathrm{cm} \) of \( \mathrm{Hg} \)
B. \( 6 \mathrm{cm} \) of \( \mathrm{Hg} \)
c. \( 30 \mathrm{cm} \) of \( \mathrm{Hg} \)
D. \( 10 \mathrm{cm} \) of \( \mathrm{Hg} \)


Write four points of difference between arteries and veins.


The IUPAC name of cinnamaldehyde is:
A . (2E)-3-phenylprop-2-enal
B. (2Z)-1-phenylprop-1-enal
C . \( (2 E) \) -1-phenylprop-2-enal
D. (2Z)-3- phenylprop-1-enal


Three-fourth of the active nuclei present in a radioactive sample decay in \( \frac{\mathbf{3}}{\mathbf{4}} \) second. What Is the half-life of the
sample?
A. 1 second
B. \( \frac{1}{2} \) second
\( c \cdot 3 \)
\( \frac{3}{4} \) second
D. 3 second


Integrate the rational function
\( \frac{1-x^{2}}{x(1-2 x)} \)


Suppose the potential energy between electron and proton at a distance r is given by \( -\frac{k e^{2}}{3 r^{3}} . \) Use Bohr's theory to
obtain energy of such a hypothetical
atom


The work function for caesium atom is
1.9 eV. Calculate
(a) threshold
wavelength and
(b) threshold frequency of the radiation. If caesium is irradiated
with a wavelength of 500 nm. Calculate the kinetic energy and the velocity of
the ejected electron.


In a reaction, reactants form a
transition state, before the formation of
products. Which of the following is
affected by the action of enzyme?
A. Products only
B. Reactants only
c. Transition state only
D. Products and reactants
E. Transition state and products


A uniform electric field and a uniform
magnetic field are acting along the same direction in a certain region. If an projected along the direction of the fields with a certain velocity then :
A. its velocity will decrease
B. its velocity will increase.
c. it will turn towards right of direction of motion
D. it will turn towards left of direction of motion


Which of the following is NOT true for
comets?
A. Some comets are believed to have originated in a region near the edge of the orbit of the outer planets in our solar system called the "scattered disk" that overlaps a region called the Kulper belt.
B. Some comets are believed to have originated in the outer-most region associated with our solar system, called the Oort cloud.
C. The tail of a comet gives the comet its propulsion, like rocket fuel out the back end of a rocket.
D. The tails of a comet generally point away from the Sun and are made of two major parts - a dusty part (that curves a bit) and an ionic part
E. Comets of ten contain significant amount of water.


Assertion
Double circulation is incomplete in amphibians and reptiles
Reason
Unlike in birds and mammals, in amphibian and reptiles, the left atrium receives oxygenated blood and right atrium receives deoxygenated blood.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect


Proxima Centauri and Barnard's star
are very cool, faint and small stars, approximately \( 1 / 10 \) th the mass and diameter of the sun. They burn slowly and have an estimated lifetime of 100
billion years categorised as:
A. red dwarf
B. white dwarff
c. red giants
D. brown dwarf


Identify the correct process that happens here:
A. A has gained 2 electrons and B has lost 2 electrons
B. A has gained 2 electrons and B has gained 2 electrons
C. A has lost 2 electrons and B has gained 2 electrons
D. A has lost 2 electrons and \( B \) has lost 2 electrons


The sol used in eye lotion is:
This question has multiple correct options
A. silver solution
B. colloidal magnesium
c. colloidal gold
D. colloidal antimony


If points \( (h, k)(1,2) \) and (-3,4) lie on line \( L_{1} \) and points \( (h, k) \) and (4,3) lie on
\( L_{2} . \) If \( L_{2} \) is perpendicular to \( L_{1}, \) then value of \( \frac{\boldsymbol{h}}{\boldsymbol{k}} \) is?
A. \( -\frac{1}{7} \)
B. \( \frac{1}{3} \)
\( c \cdot 3 \)
D.


The radius of curvature of concave
mirror is \( 24 \mathrm{cm} \) and the image is magnified by 1.5 times. The object distance is
A. \( 20 \mathrm{cm} \)
B. \( 8 \mathrm{cm} \)
\( c \cdot 16 \mathrm{cm} \)
D. \( 24 \mathrm{cm} \)


For its activity, carboxypeptidase requires
A. Iron
B. Niacin
c. copper.
D. zinc


Compute the following:
(i) \( \left[\begin{array}{cc}\boldsymbol{a} & \boldsymbol{b} \\ -\boldsymbol{b} & \boldsymbol{a}\end{array}\right]+\left[\begin{array}{ll}\boldsymbol{a} & \boldsymbol{b} \\ \boldsymbol{b} & \boldsymbol{a}\end{array}\right] \)
(ii) \( \left[\begin{array}{ll}\boldsymbol{a}^{2}+\boldsymbol{b}^{2} & \boldsymbol{b}^{2}+\boldsymbol{c}^{2} \\ \boldsymbol{a}^{2}+\boldsymbol{c}^{2} & \boldsymbol{a}^{2}+\boldsymbol{b}^{2}\end{array}\right]+ \)
\( \left[\begin{array}{cc}2 a b & 2 b c \\ -2 a c & -2 a b\end{array}\right] \)
(iii) \( \left[\begin{array}{cc}-14-6 \\ 8516 \\ 285\end{array}\right]+\left[\begin{array}{c}1276 \\ 805 \\ 324\end{array}\right] \)
\( (\operatorname{iv})\left[\begin{array}{cc}\cos ^{2} x & \sin ^{2} x \\ \sin ^{2} x & \cos ^{2} x\end{array}\right]+\left[\begin{array}{cc}\sin ^{2} x & \cos ^{2} x \\ \cos ^{2} x & \sin ^{2} x\end{array}\right] \)


Which one of the following correctly describes the manner of determining
the sex in the given examples?
A. Homozygous sex chromosomes (XX) produce male in Drosophila.
B. Homozygous sex chromosomes (ZZ) determine female sex in birds
c. xo type of sex chromosomes determine male sex in grasshopper.
D. xo condition in humans as found in Turner's syndrome, determines female sex


The equation of the lines passing through the point (1,0) and at a distance \( \frac{\sqrt{3}}{2} \) from the origin are This question has multiple correct options
B. \( x+\sqrt{3} y-\sqrt{3}=0 \)
c. \( \sqrt{3} x-y-\sqrt{3}=0 \)
D. \( x-\sqrt{3} y-\sqrt{3}=0 \)


After falling from rest through a height
\( h, \) a body of mass \( m \) begins to raise a body of mass \( M(M>m) \) connected to
it through a pulley. Find the fraction of kinetic energy lost when the body of mass \( M \) is jerked into motion.
A \( \cdot \frac{M}{M+m} \)
в. \( \frac{M}{M-m} \)
c. \( \frac{2 M}{M+m} \)
D. \( \frac{M}{2(M+m)} \)


Read the given statements about algae and select the correct option.
(i) Plant body is thalloid.
(ii) They are largely aquatic.
(iii) Reproduction occurs by vegetative, asexual and sexual methods.
(iv) Chlamydomonas, Volvox and Ulothrix are the multicellular algae.
A. Statements (i) and (ii) are true
B. Statements (ii) and (iii) are true
c. Statements (i), (ii) and (iii) are true
D. All statements are true


Cyclone collectors and electrostatic
precipitators are meant for controlling.
A. Sewage pollution
B. Air pollution
c. Pesticide pollution
D. Natural pollution


Hydrolysis constant \( \left(K_{h}\right) \) of ammonium acetate is :
(Given that \( \boldsymbol{K}_{\boldsymbol{a}}=\mathbf{1 . 8} \times \mathbf{1 0}^{-\mathbf{5}}, \boldsymbol{K}_{\boldsymbol{b}}=\mathbf{2} \times \)
\( \mathbf{1 0}^{-\mathbf{5}}, \boldsymbol{K}_{\boldsymbol{w}}=\mathbf{1 0}^{-\mathbf{1 4}} \mathbf{)} \)
A \( \cdot 28 \times 10^{-5} \)
В. \( 2.8 \times 10^{-5} \)
c. \( 0.28 \times 10^{-10} \)


Assertion: Falling raindrops acquire a terminal velocity.
Reason: A constant force in the
direction of motion and a velocity dependent force opposite to the direction of motion, always result in the acquisition of terminal velocity
A. If both Assmertion and Reason are true and the Reason is the correct explanation of the Assertion
B. If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion.
c. If Assertion is true statement but Reason is false
D. If both Assertion and Reason are false statements


\( \ln \Delta A B C, \) if \( 2 \sin ^{2} B+2 \sin ^{2} C+ \)
\( \cos 2 A=1 \) then the triangle is
A. right angled
B. isosceles
c. equilateral
D. right angled and isosceles


Decide wheather following sequence is
an \( A . P \) if so find the \( 20^{\circ} \) term of the
progression. \( -12,-5,2,9,16,23,30, \dots . \)


The value of
\( \tan \left(\sin ^{-1}\left(\cos \left(\sin ^{-1} x\right)\right)\right) \tan \left(\cos ^{-1}(\sin \right. \)
where \( \boldsymbol{x} \boldsymbol{\epsilon}(\boldsymbol{0}, 1), \) is equal to
A .
в.
c. -1
D. none of these


is the indication to rush
for safer place.
A. Thunder
B. Rain
c. clouds
D. All of the above


\( p K_{b} \) for aniline is more then of methylamine.
A. True
B. False


Loosely attached organic cofactor of holoenzyme is called
A. Modulator
B. Prosthetic group
c. coenzyme
D. Ligase


Check if the series is an \( A P \). Find the
common difference \( d . \) Also, find the next
three terms.
\( -10,-6,-2,2 \dots \dots \)
A. It is an \( A P \) and \( d=4, \) other terms 6,10,14
B. It is an \( A P \) and \( d=\frac{3}{5} \), other terms 5,10,15
c. It is not an \( A P \), other terms 3,4,5
D. None of these


How many degrees are there in an angle
which equals one-fifth of its
supplement?
A \( \cdot 15^{\circ} \)
B . \( 30^{\circ} \)
\( c \cdot 75^{\circ} \)
D. \( 150^{\circ} \)


The mole fraction of \( C_{2} H_{4} \) in the mixture is :
A . 0.25
в. 0.75
\( c .0 .45 \)
D. 0.55


What is the quantity of NaOH present in \( 250 \mathrm{cc} \) of the solution, so that it gives a
\( \mathrm{pH}=13 ? \)
A \( \cdot 10^{-13} \mathrm{g} \)
B . \( 10^{-1} \mathrm{g} \)
\( c .1 .0 \mathrm{g} \)
D. \( 4.0 \mathrm{g} \)


Which among the following having highest band gap?
A. Diamond
B. Silicon
c. Germanium
D. Gallium nitride


Prove that \( \angle B O C=90+\frac{1}{2} \angle B A C \)


Briefly explain the reflex action


Which of the following properties are characteristic of lyophobic sols?
1. Low viscosity; 2. High viscosity; 3. Reversibility and 4. Coagulation by electrolytes at low concentration Select the correct answer using the
codes given below:
A. 2,3 and 4
B. 2 and 3 only
c. 1 and 4 only
D. 1 and 3 only


The axes of co-ordinates are rotated
about z-axis through an angle of \( \pi / 4 \) in anti-clockwise direction and the
components of a vector are \( 2 \sqrt{2}, 3 \sqrt{2}, 4 \)
Then the components of the same vector in the original system are -1,5,4
A. \( a=5 i-j-4 k \)
B. \( a=-5 i+j+4 k \)
c. \( a=i-5 j-4 k \)
D. \( a=-i+5 j+4 k \)


Sulphuric acid converts ethyl alcohol to ethylene. In this process sulphuric acid works as:
A. oxidising agent
B. reducing agent
c. dehydrating agent
D. both \( A \) and \( C \)


Show that \( \sin ^{-1} \frac{12}{13}+\cos ^{-1} \frac{4}{5}+ \)
\( \cot ^{-1} \frac{63}{16}=\frac{\pi}{2} \)


The pentose sugar present in genetic material of polio virus is
A. Ribose
B. Deoxyribose
c. sucrose
D. Fructose


The correct order of decreasing metallic
character is:
\( \mathbf{A} \cdot C l>S i>A l>M g>N a \)
В \( . N a>M g>A l>S i>C l \)
\( \mathbf{c} . N a>A l>M g>C l>S i \)
D. \( A l>N a>S i>C l>M g \)


The number of phase in a colloidal
system is:
A . 1
B. 2
\( c .3 \)
\( D \)


Acetylene polymerizes to give:
A. benzene
B. polyethene
c. butane
D. octane


A small sphere of radius r falls from rest
in a viscous liquid. As a result, heat is
produced due to viscous force. The rate of production of heat when the sphere attains its terminal velocity is
proportional to:
A \( \cdot r^{5} \)
B \( \cdot r^{2} \)
\( c \cdot r^{3} \)
D. \( r^{4} \)


The least count of a stop watch is \( 1 / 5 \) sec. The time of 20 oscillations of a
pendulum is measured to be 25 sec. The
minimum percentage error in the measurement of time will be:
\( A \cdot 0.1 \% \)
B. \( 0.8 \% \)
c. \( 1.8 \% \)
D. 8\%


The carrier of an amino acid for
protein synthesis is
A . t-RNA
B. m-RNA
c. r-RNA
D. DNA


Write your observations on the
variations seen in Darwin's finches
shown.


A graph is plotted between uncertainty
in position and inverse of uncertainty in
wavelength for an electron. We get a
straight line passing through the origin.
Calculate voltage through which
electron is accelerated with
A. \( 150 \mathrm{v} \)
B. 75 V
c. 37.5
D. 300


Assertion
Tetraethyl lead is used to increase the octane number of gasoline.
Reason
It acts as negative catalyst and slows down the combustion of gasoline.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect


Consider the following statements and arrange in the order of true/ false as
given in the codes.
\( \boldsymbol{S}_{1}: \) Metals comprises less than \( 78 \% \) of
all known elements and appear on the
left side of the periodic table.
\( S_{2}: \) Silicon, germanium, arsenic, antimony, selenium and tellurium all are semi-metals.
\( \boldsymbol{S}_{3}: \) The following order represents the correct increasing order of metallic character; \( \boldsymbol{P}<\boldsymbol{S} \boldsymbol{i}<\boldsymbol{B} \boldsymbol{e}<\boldsymbol{M} \boldsymbol{g}<\boldsymbol{N} \boldsymbol{a} \)
A. FFT
в. \( \pi \)
c. FTF
D. TT


Calculate the standard deviation for the
following data:
\( \begin{array}{ll}\text { Class - internal } & \text { Frequency } \\ & \\ 1-5 & 4 \\ 6-10 & 3 \\ 11-15 & 2 \\ 16-20 & 1 \\ & \\ & N=10\end{array} \)


If \( \vec{a} \) and \( \vec{b} \) are position vectors of point \( A \) and \( B \) respectively, then the position vector of points of trisection of AB


The term, reducing atmosphere for the
early earth means that the atmosphere
A. Was much thinner around the surface of the earth
than now
B. Contained only two or three kinds of gases
C. Contained little or no free oxygen
D. Contained little or no free nitrogen


Write down the reactions taking place in different zones in the blast furnace
during the extraction of iron.


Explain the ways in which glucose is
broken down in absence of oxygen.


Two metal balls of same material
having masses \( 50 \mathrm{gm} \) and \( 100 \mathrm{gm} \) collides with a target with
same velocity. Then the ratio of their rise in temperature is
A . 1: 2
B. 4:
c. 2:
D. 1:


An application of the Zeroth Law of Thermodynamics is
A. thermometer
B. barometer
c. manometer
D. none of the above


The process of the formation of RNA
from DNA is
A. Transduction
B. Transcription
c. Transversion
D. Transition


The perimeter of triangle with vertices \( \boldsymbol{A}(\mathbf{0}, \mathbf{0}), \boldsymbol{B}(\mathbf{5}, \mathbf{7}) \) and \( \boldsymbol{C}(\mathbf{9}, \mathbf{5}) \)
B. \( \sqrt{74}+\sqrt{106} \)
c. \( \sqrt{74}+\sqrt{20}+\sqrt{106} \)
D. None of the above


Benzoic acid undergoes dimerization in benzene solution. The Van't Hoff factor \( i \)
is related to the degree of assoication \( \alpha \)
of the acid as :
B. \( i=1+(\alpha / 3) \)
c. \( i=1-(\alpha / 2) \)
D. \( i=1+(\alpha / 2) \)


A particle is projected at an angle \( \boldsymbol{\theta}= \)
\( 30^{\circ} \) with the horizontal, with a velocity
of \( 10 m s^{-1} . \) Then
This question has multiple correct options
A. After \( 2 s \), the velocity of particle makes an angle of \( 60^{\circ} \) with initial velocity vector.
B. After \( 1 s \), the velocity of particle makes an angle of \( 60^{\circ} \) with initial velocity vector
c. The magnitude of velocity of particle after 1 s is \( 10 \mathrm{ms}^{-1} \)
D. The magnitude of velocity of particle after 1 s is \( 5 m s^{-1} \)


Solve \( \lim _{x \rightarrow 3} \frac{x^{2}-9}{x^{3}-6 x^{2}+9 x+1} \)


Na \( C l \) dissociation is not considered as
ionization because :
A. an electron is essentially already fully partitioned onto the chlorine
B. no charged species formed
c. all charged species formed
D. none of these


A body is moving down into a well through a rope passing over a fixed pulley of radius \( 10 \mathrm{cm} . \) Assume that
there is no slipping between rope \( \& \) pulley, calculate the angular velocity and angular acceleration of the pulley at an instant when the body is going down at a speed of \( 20 \mathrm{cm} / \mathrm{s} \) and has an
acceleration of \( 4.0 m / s^{2} \)


The major reason for tooth decay are
A. Chocolates
B. Sweets
c. cold drinks
D. All of the above


Which of the following is not a good method to prepare tert-butyl methyl ether?
A \( \cdot\left(C H_{3}\right)_{3} C O^{-} N a^{+}+C H_{3} B r \rightarrow \)
B. \( \left(C H_{3}\right)_{3} C B r+C H_{3} O^{-} N a \rightarrow \)
C. \( H_{2} C=C\left(C H_{3}\right)_{2}+C H_{3} O H \stackrel{H^{+}}{\longrightarrow} \)
D. All of these


A body is moving under the action of two forces \( \vec{F}_{1}=\hat{2} i-\hat{5} j ; \vec{F}_{2}=3 i-4 j . \) Its
velocity will become uniform under a third force \( \vec{F}_{3} \) given by
A \( .5 i-9 j \)
B. \( -5 i-9 j \)
c. \( 5 i+9 j \)
D. \( -5 i+9 j \)


The solubility of \( C a C O_{3} \) is 7 mg/litre. Calculate the solubility product of
\( B a C O_{3} \) from this information and from
the fact that when \( N a_{2} C O_{3} \) is added
slowly to a sloution containing equimolar concentration of \( C a^{2+} \) and
\( B a^{2+}, \) no precipitate is formed until 90
\( \% \) of \( B a^{2+} \) has been precipitated as
\( B a C O_{3} . \) The solubility product of
\( B a C O_{3} \) is
A. \( 3 \times 10^{-10} \)
B. \( 4 \times 10^{-10} \)
C \( .5 \times 10^{-10} \)
D. \( 6 \times 10^{-10} \)


If \( \left|\boldsymbol{x}^{2}-\mathbf{2} \boldsymbol{x}-\mathbf{8}\right|+\left|\boldsymbol{x}^{2}+\boldsymbol{x}-\mathbf{2}\right|= \)
\( \mathbf{3}|\boldsymbol{x}+\mathbf{2}|, \) then the set of all real values
of x is
в. [1,4]
\( \mathbf{c} \cdot[-2,1] \cup[4, \infty] \)
D. \( [-\infty,-2] \cup[1,4] \)


\( \ln a p-n-p \) transistor the base is the
n-region. Its width relative to the \( p \) regions is
A. smaller
B. larger
c. same
D. not related


If the curve \( \boldsymbol{y}=c_{1} e^{m_{1} x}+c_{2} e^{m_{3} x}, \) where
\( c_{1}, c_{2}, c_{3} \) are arbitrary constants and
\( m_{1}, m_{2}, m_{3} \) are roots of \( m^{3}-7 m+ \)
\( \mathbf{6}=\mathbf{0}, \) then the differential equation corresponding to the given curve is,
A \( \cdot y_{2}-7 y_{1}+6 y=0 \)
в. \( y_{2}-7 y_{1}+6=0 \)
c. \( y_{2}+7 y_{1}+6 y=0 \)
D. \( y_{2}+7 y_{1}+6=0 \)


If \( \boldsymbol{A}=\left[\boldsymbol{a}_{i j}\right] \) is a scalar matrix of order
\( \boldsymbol{n} \times \boldsymbol{n} \) such that \( \boldsymbol{a}_{\boldsymbol{i} j}=\boldsymbol{k} \) for all then
trace of \( A \) is equal to
\( A \cdot n k \)
в. \( n+k \)
c. \( n / k \)
D. none of these


The reaction \( \boldsymbol{A}(\boldsymbol{g}) \longrightarrow \boldsymbol{B}(\boldsymbol{g})+\boldsymbol{2} \boldsymbol{C}(\boldsymbol{g}) \) is
a first order reaction with rate constant
\( 2.772 \times 10^{-3} s^{-1} . \) Starting with 0.1 mole
of \( A \) in 2 litre vessel, find the
concentration of \( A \) after 250 sec when
the reaction is allowed to take place at
constant pressure at \( 300 K ? \)
\( \mathbf{A} \cdot 0.0125 M \)
В. 0.025 М
c. \( 0.05 M \)
D. none of these


is the period between the beginning of sexual maturation and entry into the
adult life.
A. Growth
B. Senescence
c. Adolescence
D. None of the above


\( \boldsymbol{C H}_{3}-\boldsymbol{C H} \boldsymbol{M} \boldsymbol{g} \boldsymbol{C l}+\boldsymbol{C H}_{3}- \)
\( \boldsymbol{C H}_{3} \)
\( C H_{3} \)
\( C-O H \rightarrow^{\prime} Q^{\prime} \)
\( C H_{3} \)
What is 'Q'?
A. Isobutane
B. Isopropane
c. Tert. butyl chloride
D. Propane


Ka for \( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \) is \( 1.8 \times 10^{-5} \). Find
out the percentage dissociation of \( 0.2 \mathrm{M} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \) in \( \mathbf{0 . 1} \mathbf{M} \boldsymbol{H} \boldsymbol{C l} \) solution.
\( \mathbf{A} \cdot 0.018 \)
B. 0.36
c. 18
D. 36


Collar bone is known as:
A. scapulal
B. clavicle
c. pelvic girdle
D. chevron bone


Three masses of \( 500 g, 300 g \) and \( 100 g \)
are suspended at the end of a spring as shown and are in equilibrium. When the
\( 500 g \) mass is removed suddenly, the
system oscillates with a period of 2
second. When the \( 300 g \) mass is also
removed, it will oscillate with a period
\( \mathbf{A} \cdot 2 \sec \)
B. 4 sec
c. 8 sec
D. 1 sec


The measure of an angle in degrees, grades and radians be \( \mathrm{D}, \mathrm{G} \) and \( \mathrm{C} \) respectively, then relation between them \( \frac{D}{90}=\frac{G}{100}=\frac{2 C}{\pi} \) but \( 1^{\circ}= \)
\( \left(\frac{180}{\pi}\right)^{\circ} \simeq 57^{\circ}, 17^{\prime}, 44.8^{\prime \prime} \) and sum of
interior angles of a \( n \) -sided regular polygon is \( (2 n-4) \frac{\pi}{2} . \) On the basis of above information, answer the following questions :Which of the following are correct
This question has multiple correct options
\( A \cdot \sin 1^{\circ}<\sin 1^{\circ} \)
\( \mathbf{B} \cdot \cos 1^{\circ}>\cos 1^{\circ} \)
\( \mathbf{c} \cdot \cos 1^{\circ}<\cos 1^{c} \)
D. \( 1^{c}=57^{\circ} \Rightarrow \sin 1^{c}<\sin 57^{\circ} \Rightarrow \cos 1^{c}>\cos 57 \)


Two plane mirrors are placed as shown
in the figure and point object 'O' is
placed at the origin. Flnd how many
images will be formed


The temperature \( (T) \) of two samples of
the same substance with masses \( \boldsymbol{m}_{1} \)
and \( m_{2} \) and temperatures \( T_{1} \) and \( T_{2} \) when added together is
A. \( \frac{m_{2} T_{1}+m_{1} T_{2}}{m_{1}+m_{2}} \)
в. \( \frac{m_{1} T_{1}+m_{2} T_{2}}{m_{1}+m_{2}} \)
c. \( m_{1} T_{1}+m_{2} T_{2} \)
D. \( m_{1} T_{2}+m_{2} T_{1} \)


Evaluate the following:
\( \left|\begin{array}{ccc}\boldsymbol{x}+\boldsymbol{\lambda} & \boldsymbol{x} & \boldsymbol{x} \\ \boldsymbol{x} & \boldsymbol{x}+\boldsymbol{\lambda} & \boldsymbol{x} \\ \boldsymbol{x} & \boldsymbol{x} & \boldsymbol{x}+\boldsymbol{\lambda}\end{array}\right| \)


An aqueous solution of \( \boldsymbol{C u} \boldsymbol{S O}_{4} \) is:
A . acidic
B. basic
c. neutral
D. amphoteric


Two species of radioactive atoms are mixed in equal number. The disintegration constant of the first species is \( \lambda \) and of the second is \( \lambda / 3 \)
After a long time the mixture will behave as a species with mean life of
approximately:
A. \( 0.70 / \lambda \)
d
в. \( 2.10 / \lambda \)
c. \( 1.00 / \lambda \)
D. \( 0.52 / \lambda \)


When a man stands on a moving escalator he goes up in 50 sec. and
when he walks up the moving escalator
he goes up in 30 sec. Then the man
walks up the stationary escalator in a
time of \( ---- \) sec
\( \mathbf{A} \cdot 60 \)
B. 75
c. 90
D. 18.75


Which of the following is a non-contact force?
A. Gravitational force
B. Magnetic forces
c. Electric force
D. All


The slope and y-intercept of the following line are respectively
\( \mathbf{7} \boldsymbol{x}-\boldsymbol{y}+\mathbf{3}=\mathbf{0} \)
A. slope \( =m=7 / 3 \) and \( y- \) intercept \( =1 \)
B. slope \( =m=-7 \) and \( y- \) intercept \( =3 \)
c. slope \( =m=-7 / 3 \) and \( y- \) intercept \( =1 \)
D. slope \( =m=7 \) and \( y- \) intercept \( =3 \)


Why do electric lines of force never
intersect each other?


A geometric series consists of four
terms and has a positive common ratio. The sum of the first two terms is 8 and
the sum of the last two terms is \( 72 . \) Find
the series


Temporary hardness of water is due to
the presence of the nitrates of Ca and Mg. If this is true enter \( 1, \) if false enter 0


Following are the transition metal ions
of \( 3 d \) series:
\( \boldsymbol{T} \boldsymbol{i}^{4+}, \boldsymbol{V}^{2+}, \boldsymbol{M} \boldsymbol{n}^{3+}, \boldsymbol{C} \boldsymbol{r}^{3+} \)
(Atomic numbers: \( \boldsymbol{T} \boldsymbol{i}=\mathbf{2 2}, \boldsymbol{V}= \)
\( \mathbf{2 3}, \boldsymbol{M n}=\mathbf{2 5}, \boldsymbol{C r}=\mathbf{2 4}) \)
Answer the following:
(i) Which ion is most stable in an aqueous solution and why?
(ii) Which ion is a strong oxidising agent and why?
(iii) Which ion is colourless and why?


Substances which can be stretched to
cause large strains are called
A. isomers
B. plastomers
c. elastomers
D. polymers


The radius of a planet is 4 times the radius of the earth. The time period of revolution of the planet will be:
A . \( 1 y r \)
B. 2 \( y r \)
c. \( 4 y r \)
D. \( 8 y r \)


For a reaction, \( 2 N O(g)+O_{2}(g) \rightarrow \)
\( \mathbf{2} N \boldsymbol{O}_{2}(\boldsymbol{g}) \)
Rate \( =\boldsymbol{k}[\boldsymbol{N} \boldsymbol{O}]^{2}\left[\boldsymbol{O}_{2}\right] \) if the volume of the
reaction vessel is doubled, then the rate
of the reaction:
A. will diminish to \( 1 / 4 \) of initial value
B. will diminish to \( 1 / 8 \) of initial value
c. will grow 4 times
D. will grow 8 times


If the total binding energies of \( _{1}^{2} H,_{2}^{4} H e,_{26}^{56} F e \&_{92}^{235} U \) nuclei are
2.22,28.3,492 and \( 1786 \mathrm{MeV} \)
respectively, identify the most stable nucleus of the following.
\( A \cdot \frac{56}{26} F e \)
в. \( _{1}^{2} H \)
C \( \cdot \frac{235}{92} \mathrm{U} \)
\( \mathrm{D} \cdot_{2}^{4} \mathrm{He} \)


Solve for \( x: x^{5}+242=\frac{243}{x^{5}}, \) where \( x \) is
real number.


\( \operatorname{Let} f(x)=(x+1) 2^{-\left(\frac{1}{[x]}+\frac{1}{x}\right)} \) and
\( \boldsymbol{f}(\mathbf{0})=\mathbf{0} \)
A. \( f \) is continuous at \( x=0 \)
B. \( \lim _{x \rightarrow 0^{+}} f(x) \) exists
C. \( \lim _{x \rightarrow 0^{+}} f(x) \) does not exist
D. \( \lim _{x \rightarrow 0} f(x) \neq \lim _{x \rightarrow 0^{-}} f(x) \)


Fig. shows a bead of mass \( m \) moving
with uniform speed \( v \) through a \( U- \)
shaped smooth wire the wire has a semicircular bending between \( A \) and
B. Calculate the average force exerted
by the bead on the part \( A B \) of the wire.


If the function \( f(x)=x^{3}+e^{x} \) and
\( \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{f}^{-1}(\boldsymbol{x}), \) then the value of \( \boldsymbol{g}^{\prime}(\mathbf{1}) \)
is


If the sum of the coefficients in the
expansion of \( (a+b)^{n} \) is \( 4096, \) then the
greatest coefficient in the expansion is
A \( \cdot 924 \)
в. 792
\( c .1594 \)
D. None of these


Calculate : \( K_{a} \) for \( H C N \) given
\( \boldsymbol{K}_{b}\left(\boldsymbol{C N}^{-}\right)=\mathbf{2 . 5} \times \mathbf{1 0}^{-\mathbf{5}} \)
A \( \cdot 10^{-5} \)
В. \( 2 \times 10^{-7} \)
c. \( 4 \times 10^{-10} \)
D. None of these


Which of the following soil horizon contain humus?
A. A- horizon
B. B- horizon
c. c - horizon
D. D - horizon


In a solid, heat is transferred mainly by
the process of
A. conduction
B. convection
c. radiation
D. conduction and convection both


In branches, the leaves are
dimorphic.
A. Pinus
B. Gnetum
c. Both of the above
D. cycas


An atom with atomic number 20 is
most likely to combine chemically with the atom whose atomic number
is
A . 11
B. 16
c. 18
D. 10


Choose the correct statement
This question has multiple correct options
A. \( p H \) of acidic buffer solution decreases if more salt is
added
B. \( p H \) of acidic solution increases if more salt is added
C. \( p H \) of basic buffer decreases if more salt is added
D. \( p H \) of basic buffer increases if more salt is added


The eukaryotic chromosome contains nucleosome spools.
A. True
B. False


Velocity-time graph of a particle of
mass \( 2 k g \) moving in a straight line is
as shown in figure. Work done by all the
forces on the particle is:
A \( .400 J \)
В. \( -400 J \)
\( c .-200 J \)
D. 200


Find the eccentricity and length of latus rectum of the ellipse \( 9 x^{2}+16 y^{2}- \)
\( 36 x+32 y-92=0 \)


In an L.C.R series a.c circuit, the current,
the current
A. is always in phase with the voltage
B. always lags the generator voltage
C . always leads the generator voltage
D. None of these


Name the virus and labels given in the
figure.
A. HIV (Retovira), A- Protein coats, B- Envelope, \( C \) Glycoprotein, D- RNA, E- Reverse transcriptase
B. Adenovira (Retovira), A- Protein coats, B- Envelope, CGlycoprotein, E- RNA, F- Reverse transcriptase
C. HIV (Retovira), A- Envelope, B- Glycoprotein, C- Protein coat, D- RNA, E- Reverse transcriptase
D. TMV (Retrovira), A- Protein coats, B- Envelope, CGlycoprotein, D- RNA, E- Reverse transcriptase


Explain the Wurtz-Fittig reaction.


Who rediscovered mendel's work?


Assertion
At absolute zero semiconductors
behaves as the ideal insulator.
Reason
In semiconductor electron vibration
happen at room temperature. But at
very low-temperature electron can not
get energy and so it can not vibrate. and
so current can not pass,so
semiconductor act as an insulator.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect


A thin oil layer floats on water. A ray of
light making an angle of incidence \( 40^{\circ} \)
shines an oil layer. The angle of refraction of light ray in water is \( \left(\boldsymbol{m} \boldsymbol{u}_{\boldsymbol{o} i l}=\mathbf{1} . \boldsymbol{4} \mathbf{5}, \boldsymbol{\mu}_{\boldsymbol{w} \text {ater}}=\mathbf{1 . 3 3}\right) \)
\( \left[\sin 40^{\circ}=0.6428, \sin 44.5^{\circ}=0.7007\right] \)
\( A \cdot 28.9^{\circ} \)
B . \( 26.5^{\circ} \)
c. \( 44.5^{\circ} \)
\( D \cdot 40^{\circ} \)


Express: \( Z=\frac{i-1}{\cos \frac{\pi}{3}+i \sin \frac{\pi}{3}} \) in polar
form


Charge \( Q, 2 Q \) and \( 4 Q \) are uniformly
distributed in three dielectric solid
spheres 1,2 and 3 of \( \operatorname{radii} R / 2, R \) and
\( 2 R \) respectively, as shown in figure. If
magnitudes of the electric field at point
\( P \) at a distance \( R \) from the centre of
spheres 1,2 and 3 are \( E_{1}, E_{2} \) and \( E_{3} \)
respectively, then
\( \mathbf{A} \cdot E_{1}>E_{2}>E_{3} \)
B \( \cdot E_{3}>E_{1}>E_{2} \)
\( \mathbf{c} \cdot E_{2}>E_{1}>E_{3} \)
\( \mathbf{D} \cdot E_{3}>E_{2}>E_{1} \)


When \( Q=200 \mu C, \) what is the value of
I?


Consider the reaction \( \boldsymbol{C}_{3} \boldsymbol{H}_{\mathbf{7}}-\boldsymbol{O} \boldsymbol{H}+ \)
\( \boldsymbol{E} \boldsymbol{t}_{3} \boldsymbol{O}^{\oplus} \boldsymbol{B} \boldsymbol{F}_{4}^{\ominus} \rightarrow \boldsymbol{C}_{3} \boldsymbol{H}_{7}-\boldsymbol{O}-\boldsymbol{E} \boldsymbol{t}+ \)
EtO \( \boldsymbol{E t}+\boldsymbol{H} \boldsymbol{B} \boldsymbol{F}_{\mathbf{4}} \)
Which of the following statements is wrong?
A. The nucleophile in the reaction is \( C_{3} H_{7} O H \)
B. The nucleophile in the reaction is \( B F_{4}^{\ominus} \)
C. The leaving group is \( E t_{2} O \)
D. \( S N^{2} \) reaction occurs.


What is the order of basicity of the
following compounds in aprotic
solvent?
\( \boldsymbol{C H}_{3} \boldsymbol{N} \boldsymbol{H}_{2},\left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{N} \boldsymbol{H},\left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{N} \)
A \( \cdot\left(C H_{3}\right)_{3} N>\left(C H_{3}\right)_{2} N H>C H_{3} N H_{2} \)
B . \( \left(C H_{3}\right)_{3} N<\left(C H_{3}\right)_{2} N H<C H_{3} N H_{2} \)
C. \( \left(C H_{3}\right)_{3} N>C H_{3} N H_{2}>\left(C H_{3}\right)_{2} N H \)
D. None of these


Identify the electrophile in the following.
A \( \cdot R-N H_{2} \)
в. \( N H_{3} \)
c. \( A l C l_{3} \)
D. \( [C N]_{6} \)


In animal cells, the first stage of glucose breakdown is
A. Krebs cycle
B. Glycolysis
c. Oxidative phosphorylation
D. Electron transport chain


Which of the following is not true?
A. Ordinary water is electrolysed more rapidly than \( D_{2} O \)
B. \( D_{2} O \) freezes at lower temperature than \( H_{2} O \)
C. Reaction between \( H_{2} \) and \( C l_{2} \) is much faster than \( D_{2} \)
and \( C l_{2} \)
D. Bond dissociation energy for \( D_{2} \) is greater than \( H_{2} \)


A vertical ray of light strikes the horizontal surface of water.What is the
angle of refraction?
A . \( 45^{\circ} \)
B. 180
\( c \cdot 0^{c} \)
D. \( 90^{\circ} \)


Sulpha drugs are derivatives of:
A. benzene sulphonic acid
B. sulphanillic acid
c. sulphanilamide
D. p-aminobenzoic acid


A wire loop that encloses an area of \( 20 \mathrm{cm}^{2} \) has a resistance of \( 10 \Omega \). The
loop is placed in a magnetic field of \( 2.4 T \) with its plane perpendicular to the field. The loop is suddenly removed from
the field. How much charge flows past a given point in the wire?
\( \mathbf{A} \cdot 12 \times 10^{-4} C \)
B. \( 10^{-1} C \)
c. \( 4.8 \times 10^{-4} C \)
D. \( 2.4 \times 10^{-3} C \)


Describe the nodule formation in
leguminous plants.


Which of the following has least polarity in bond?
A \( . H-F \)
в. \( H-C l \)
c. \( H-O \)
D. \( H-S \)


A high pressure tire rolls more easily than a low pressure tire because:
A. Rolling resistance is less in high inflated tire
B. Rolling resistance is more in high inflated tire
c. Rolling resistance is zero in high pressure tire
D. Friction is zero in high pressure tire


When lead storage battery is charged:
A. lead dioxide dissolves
B. sulphuric acid is regenerated
C. lead electrode becomes coated with lead sulphate
D. the concentration of sulphuric acid decreases


The complex used as an anticancer
agent is :
A . \( \operatorname{trans}-\left[\operatorname{Co}\left(\mathrm{NH}_{3}\right)_{3} \mathrm{Cl}_{3}\right. \)
B . \( \operatorname{cis}-\left[P t C l_{2}\left(N H_{3}\right)_{2}\right] \)
c. \( \operatorname{cis}-K_{2}\left[P t C l_{2} B r_{2}\right. \)
D. \( N a_{2} C O_{3} \)


Q Type your question
Iormula \( \cup_{7} \) R \( _{12} \). Un calalytic
hydrogenation, 1 mol of \( C \) absorbs 1
mol of \( \boldsymbol{H}_{2} \) and yields a compound with
the molecular formula of \( C_{7} H_{12} . \) On
ozonolysis and subsequent treatment with zinc and acetic acid, C yields only.
\( \boldsymbol{C H}_{3} \boldsymbol{C O C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H O} \)
The structure of \( C \) is:
\( A \)
B.
\( c \)
\( D \)


A charged particle having a charge of
\( -2 \times 10^{-6} C \) is placed close to a non
conducting plate having a surface charge density as \( 4 \times 10^{-6} \mathrm{Cm}^{-2} . \) What
will be the force of attraction between
them:
A . \( 0.5 N \)
B. \( 0.45 N \)
c. \( 0.25 N \)
\( D \ldots .0 .75 N \)


The value of capacitance of capacitors
shown in above diagram are \( C_{1}= \)
\( \boldsymbol{C}_{2}=\boldsymbol{C}_{3}=\boldsymbol{C}_{4}=\boldsymbol{8} \boldsymbol{\mu} \mathbf{C} ; \boldsymbol{C}_{5}=\mathbf{1 0} \boldsymbol{\mu} \boldsymbol{C} \)
The equivalent capacitance between
and Q is:
\( A \cdot 8 \mu F \)
B. \( 24 \mu F \)
\( c \cdot 16 \mu F \)
D. \( 15 \mu F \)


Negation of the statement \( p: \) for every real number, either \( x>1 \) or \( x<1 \) is


Which of the following is the vibrating part of Banjo?
A. Stretched- Membrane
B. Stretched- String
c. Air column
D. None of the above


The Wavelength of a LASER beam can be used as a standard of
A. time
B. temperature
c. angle
D. length


Which of the following elements does not form peroxide?
A \( . S r \)
в. \( N a \)
c. \( N a, K \)
D. \( L i, R b \)


The area bounded by the curves \( x^{2}+ \)
\( y^{2} \leq 8 \) and \( y^{2} \geq 4 x \) lying in the first
quadrant is not equal to
A \( \cdot 32\left(\frac{\pi}{8}-\frac{1}{3}\right) \)
в. \( \frac{32}{3}\left(\frac{3 \pi}{8}-1\right) \)
c. \( _{4 \pi}-\frac{32}{3} \)
D. \( \frac{1}{3}(12 \pi-32) \)


In 50 tosses of coin tail appears 32
times. If a coin is tossed random, what
is the probability of getting head?


If we tighten the stretched strings of guitar, then pitch will be
A. lower
B. higher
c. same
D. dependent upon size of instrument


Assertion
\( \gamma- \) rays have very high penetrating
power.
Reason
\( \gamma- \) rays are electromagnetic radiations of high energy.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct


Moderator is used in nuclear reactor for:
A. slowing neutrons
B. accelerating neutrons
c. stopping neutrons
D. heating the neutrons


For all positive integers \( \mathbf{w} \) and \( \mathbf{y}, \) where \( \mathbf{w}>\mathbf{y}, \) let the operation \( \otimes \) be defined by \( \mathbf{w} \otimes \mathbf{y}=\frac{\mathbf{2}^{w+y}}{\mathbf{2}^{w-y}} . \) For how many positive
integers \( \mathbf{w} \) is \( \mathbf{w} \otimes \mathbf{1} \) equal to \( \mathbf{4} \) ?
A. None
B. One
c. Two
D. Four
E. More than four


Which pair of structures represents the
same compound?
\( \mathbf{A} \cdot \mid \) and \( V \)
B. II and \( v \)
C. II and III
D. III and


This is the branch of chemistry dealing
with the separation, identification and quantitative determination of the composition of different substances.
Name is :
A. Physical chemistry
B. Inorganic chemistry
c. organic chemistry
D. Analytical chemistry


\( 14.2 \mathrm{g} N a_{2} S O_{4} \) is present in \( 10^{2} \mathrm{kg} \)
water. Its concentration in ppm is:
A. 10 ppm
B. 100 ppm
c. 142 ppm
D. \( 14.2 \mathrm{ppm} \)


In which colour an yellow coloured dress
would appear when viewed through a blue filter?
A . yellow
B. blue
c. black
D. green


Bond energy of \( \boldsymbol{C l}_{2}, \boldsymbol{B r}_{2} \) and \( \boldsymbol{I}_{2} \) follow
the order:
A. \( C l_{2}>B r_{2}>I_{2} \)
в. \( B r_{2}>C l_{2}>I_{2} \)
c. \( I_{2}>B r_{2}>C l_{2} \)
D. \( I_{2}>C l_{2}>B r_{2} \)


\( f(x) \) is defined as under: \( f(x)= \) \( \left\{\begin{array}{cc}a x(x-1)+b, & x<1 \\ x-1, & 1 \leq x \leq 3 \\ c x^{2}+d x+2, & x>3\end{array}\right. \)
\( f^{\prime}(x) \) is discontinuous at \( x=3 . \) Then \( \boldsymbol{a} \neq \boldsymbol{k}, \boldsymbol{b}=\boldsymbol{m}, \boldsymbol{c}=\frac{\mathbf{1}}{\boldsymbol{h}}, \boldsymbol{d}=-\boldsymbol{p} . \) Find \( \boldsymbol{k}+ \)
\( \boldsymbol{m}+\boldsymbol{h}+\boldsymbol{p} ? \)


Mendel was born in
A. 17th century
B. 18th century
c. 19th century
D. 8th century.


Solve :
\( \lim _{x \rightarrow 2} \frac{\sqrt{1+\sqrt{2+x}-\sqrt{3}}}{x-2} \)


"Reaction of potassium iodide solution
with lead nitrate solution" is the
example of :
This question has multiple correct options
A. Chemical replacement reaction
B. Neutralisation reaction
c. Precipitation reaction
D. Chemical double decomposition reaction


A single-layer coil (solenoid) has length
and cross-section radius \( R \) A number
of turns per unit length is equal to \( n \) The magnetic induction at the centre of
the coil when a current \( I \) flows through it is given as \( B=\frac{x \mu_{0} n I}{\sqrt{1+\left(\frac{2 R}{l}\right)^{2}}} . \) Find
\( \boldsymbol{x} \)


\( \lim _{x \rightarrow a} \frac{\sin x-\sin a}{x-a} \)


State the peculiar features of very cold
habitat.


The radius of a disc is \( 1.2 \mathrm{cm} . \) Its area according to the concept of significant figures will be given by :
A \( .4 .5216 c m^{2} \)
B . \( 4.521 \mathrm{cm}^{2} \)
c. \( 4.52 \mathrm{cm}^{2} \)
D. \( 4.5 \mathrm{cm}^{2} \)


What are the characteristics of a gas?
A. A state of matter that has free electrons.
B. A state of matter that conducts electricity well.
C. A state of matter that has both a fixed volume and
shape.
D. A state of matter that does not have a definite volume
or shape
E. A state of matter that has a definite volume but not a
definite shape.


The uranium nucleus \( _{92} \mathrm{U}^{238} \) emits an \( \alpha \)
-particle and resulting nucleus emits one \( \beta \) -particle. The atomic number and
mass number of the final nucleus will
be respectively
\( \mathbf{A} .91,234 \)
B. 90,234
c. 91,238
D. 92,234


Which of the followings are correct regarding complexometric titration?
A. A titration in which colour is changed due to formation of complex
B. Usually occur when d-block elements are involved
c. Usually happen when chelating ligands are involved
D. All of the above


After glycolysis, the fate of glucose in mitochondrial matrix is
A. Oxidation.
B. Reduction.
c. Oxidative decarboxylation.
D. Hydrolysis.


Find the angle which the straight line \( y=\sqrt{3} x-4 \) makes with y-axis.


The potential energy of 1 kg particle free to move along the X-axis is given by \( \boldsymbol{U}=\left(\frac{\boldsymbol{x}^{4}}{\boldsymbol{4}}-\frac{\boldsymbol{x}^{2}}{\mathbf{2}}\right) \boldsymbol{J} \)
The total mechanical energy of the particle is 2 J. Then Maximum speed of the particle is :
A \( \cdot \frac{3}{\sqrt{2}} \)
B. \( \frac{1}{\sqrt{2}} \)
\( c \cdot \sqrt{2} \)
D. 2


Compare the impulses exerted on a wall by two objects, a golf ball and a lump of mud, both having the same mass and the velocity.
A. The golf ball imparts greater impulse.
B. The lump of mud imparts the greater impulse.
c. Both impart equal impulse.
D. Nothing can be said.


One end of a steel rectangular girder is embedded into a wall (figure shown above). Due to gravity it sags slightly. Find the radius of curvature of the
neutral layer (see the dotted line in the figure above) in the vicinity of the point
\( O \) if the length of the protruding section
of the girder is equal to \( l=6.0 m \) and
the thickness of the girder equals \( h= \)
\( 10 \mathrm{cm} \)


Fill in the blank: \( \angle C \cong \)
\( A \cdot Z \)
3. \( \angle Q \)
\( c . \angle R \)
D. \( \angle A \)


Let \( A \) and \( B \) be two events such that
\( P(\overline{A \cup B})=\frac{1}{6}, P(A \cap B)=\frac{1}{4} \) and
\( P(\bar{A})=\frac{1}{4}, \) where \( \bar{A} \) stands for
complement of event \( A \). Then, the
events \( A \) and \( B \) are
A. Mutually exclusive and independent
B. Independent, but not equally likely
c. Equally likely but not independent
D. Equally likely and mutually exclusive


The following conditions are seen in which defect of vision?
a. The vision is clear up to a distance of
few meters
b. It may occur due to elongation of eyeball
c. The image of the object is formed in front of the retina
A. Myopia
B. Cataract
c. Presbyopia
D. Hypermetropia


Factorize the following
\( x^{2}+13 x+30 \)
A. \( (x+3)(x+10) \)
в. \( (x-3)(x+10) \)
c. \( (x+3)(x-10) \)
D. None of these


The number of integral terms in the expansion of \( \left(5^{1 / 2}+7^{1 / 8}\right)^{1024} \) is


Divide \( 81 x^{3}\left(50 x^{2}-98\right) \) by \( 27 x^{2}(5 x+ \)
7)


The gravitational force with which the
earth attracts the moon:
A. Is less than the force with which the moon attracts the earth
B. Is equal to the force with which the moon attracts the earth
c. Is greater than the force with which the moon attracts the earth
D. Varies with the phases of the moon


Name the organ which produces urea.


Given \( f(x)=5 x-1 . \) then \( f(-3)=-16 \)
(Enter 1 if true or 0 otherwise)


The organic compound which was first prepared in the laboratory?
A . Acetic acid
B. Methane
c. urea
D. All of these


On the basis of above paragraph, find the relation between angular
momentum and torque:
\( \mathbf{A} \cdot \tau \Delta \theta=J \)
в. \( \tau=\int J d \theta \)
c. \( \int \tau \cdot d t=J \)
D. \( \int J \cdot d t=\tau \)


IdenLıly LIIe producl.
\( \mathbf{A} \)
\( B \)
\( C \)
\( D \)


Assertion
For the Daniel cell, \( Z n\left|Z n^{2+}\right|\left|C u^{2+}\right| C u \)
with \( E_{c e l l}=1.1 V, \) the application of
opposite potential greater than \( 1.1 \mathrm{V} \)
results into flow of electron from
cathode to anode.
Reason
\( Z n \) is deposited at anode, and \( C u \) is
deposited at cathode.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct


Who invented the atomic research in
india?
A. Homi J Bhabha
B. Shahjahan
c. Newton
D. Einstein


A rubber ball drops from a height h and after rebounding twice from the ground, it rises to h/2. The co - efficient of
restitution is
A \( \cdot \frac{1}{2} \)
в. \( \quad\left(\frac{1}{2}\right)^{\frac{1}{2}} \)
c. \( \quad\left(\frac{1}{2}\right)^{\frac{1}{4}} \)
D.


Which of the following is least basic?
A \( \cdot L a(O H)_{3} \)
\( \mathbf{B} \cdot L u(O H)_{3} \)
c. \( \operatorname{Ce}(O H)_{3} \)
D. \( N d(O H)_{3} \)


The device that can act as a complete electronic circuit is -
A. Junction diode
B. Integrated circuitt
c. Junction transistor
D. zener diode


A U-tube of uniform cross-sectional
area and open to the atmosphere is partially filled with mercury.Water is then poured into both arms. If the equilibrium configuration of the tube is
as shown in figure with \( h_{2}=1.0 \mathrm{cm} \)
determine the value of \( h_{1} \)


The father of botany is
A. Theophrastus
B. Brunfels
c. C. Linnaeus
D. O. Tippo


A microscope consists of an objective with a focal length \( 2 \mathrm{mm} \) and an eye piece with a focal length \( 40 \mathrm{mm} \). The distance between the foci (which are between the lenses) of objective and eyepiece is \( 18 \mathrm{cm} . \) The total
magnification of the microscope is (Consider normal adjustment and take \( \mathrm{D}=25 \mathrm{cm} \)
A . 562.5
B. 625
c. 265
D. 62.5


The most rapidly depleting resource in the world is
A. water
B. Forest
c. wind
D. Sunlight


Amongst the given, the total number of
compounds suitable in aqueous
NaOH are:
\( A \)
3.2
\( c .3 \)
\( D \)


Which of the following is one dimensional motion?
A. Landing of aircrafttttt
B. Earth revolving around the sun
C. Motion of the wheels of moving train
D. Train running on a straight track