Statement 1: Many chemical reactions slow down with lowering temperature. Statement 2: The energy barrier for the formation of products decreases with decreasing temperature.
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both the Statement 1 and Statement 2 are correct, but Statement 2 is NOT the correct explanation of Statement 1.
c. statement 1 is correct, but statement 2 is not correct
D. Statement 1 is not correct, but Statement 2 is correct


Express \( \left(\frac{1-i}{1+i}\right)^{1000} \) in the form of \( a+ \)
ib. Find \( a+b \)


Write the following in decimal form and say what kind of decimal expansions has:
\( \frac{329}{400} \)


Which of the following method is applicable for pollination in
gymnosperms?
A. Anemophilous
B. Entemophilous
c. Hydrophilous
D. None of the above


Which of the following colligative properties can provide molar mass of proteins (or polymers orcolloids) with greater precision?
A. Relative lowering of vapour pressure
B. Elevation of boiling point
c. Depression in freezing point
D. osmotic pressure


What are the individual currents
through the resistor in the circuit
pictured above?
A \( \cdot I_{1}=5 A, I_{2}=4.4 A \) and \( I_{3}=6 A \)
B . \( I_{1}=2 A, I_{2}=2.4 A \) and \( I_{3}=3 A \)
\( \mathrm{c} \cdot I_{1}=4 A, I_{2}=2.4 \mathrm{A} \) and \( I_{3}=6 \mathrm{A} \)
D. \( I_{1}=2.4 A, I_{2}=4 A \) and \( I_{3}=6 A \)
\( A \)


Fermentation by yeast produces
I. Carbon dioxide
II. Oxygen
III. Water
IV. Alcohol
A. I only
B. I and II
c. ।, ॥ and III
D. I, III and IV
E . I and IV


If \( \sqrt{2}+\sqrt{6}+\sqrt{18}+\ldots . .10 \) terms is
equal to \( k(\sqrt{2}+\sqrt{6}), \) then find the
value of k.


An organic compound is estimated through Dumas method and was found
to evolve 6 moles of \( C O_{2} .4 \) moles of
\( H_{2} O \) and 1 mole of nitrogen gas. The
formula of the compound is:
A \( \cdot C_{12} H_{8} N \)
в. \( C_{12} H_{8} N_{2} \)
c. \( C_{6} H_{8} N \)
D. \( C_{6} H_{8} N_{2} \)


Iqbal has to push a lighter box and Seema has to push a similar heavier
box on the same floor. Who will have to
apply a larger force and why?


\( D- \) glucose \( \stackrel{H O^{-}}{\rightleftharpoons} A+B \)
\( A \) and \( B \) are:
\( A \cdot D- \) mannose and \( D \) - mannitol
B. D - mannose and D - Fructose
C. D - allose and D- Altrose
D. D - Glucose and D- - Idose


Given \( B D=12 \) and \( A C=3 \) in the
circle with center \( A \). Find the radius.
A . 3
B. \( 3 \sqrt{5} \)
\( c \cdot 4 \)
D. \( 4 \sqrt{5} \)


A molecular compound is composed of \( 60.4 \% \mathrm{Xe}, 21.1 \% \mathrm{O} \) and \( 17.5 \% \mathrm{F}, \) by mass. If
the molecular weight is \( 217.3 \mathrm{u} \), what is the molecular formula?
\( \mathbf{A} \cdot X e O_{3} F_{2} \)
в. \( X e O_{3} F \)
c. \( X e O_{2} F_{3} \)
D. None of these


\( \int \frac{d x}{\sqrt{(x-a)(b-x)}} \) equals
A \( \cdot \sin ^{-1} \sqrt{\left(\frac{x+a}{b-a}\right)}+c \)
B. \( \cos ^{-1} \sqrt{\left(\frac{x+a}{b-a}\right)}+c \)
\( ^{\mathrm{c}} 2 \sin ^{-1} \sqrt{\left(\frac{x+a}{b-a}\right)}+c \)
D. None of these


Q Type your question
"I 11
\( \left.\sqrt{\boldsymbol{c}}(\text {in } \boldsymbol{m o l} / \boldsymbol{L})^{1 / 2}\right) \) for \( \boldsymbol{K} \boldsymbol{C l} \) solution?
\( \left(\boldsymbol{y}=\wedge_{m} ; \boldsymbol{x}=\sqrt{\boldsymbol{c}}\right) \)
\( A \)
B.
\( c \)
\( D \)


Short / Long answer type questions. Why do most substances have to be assisted through the plasma membrane? Contrast movement by
facilitated transport with movement by active transport.


Amanita, a poisonous fungus is
A. Mushroom
B. Bracket Fungus
c. Toadstool
D. Puffball


Which compound to use for treatment
of tumor?
A \( \cdot \operatorname{Cis}\left[P d C l_{2}\left(N H_{3}\right)_{2}\right] \)
B . \( \operatorname{Trans}\left[P d C l_{2}\left(N H_{3}\right)_{2}\right] \)
c. \( \operatorname{cis}\left[\operatorname{PtCl}_{2}\left(N H_{3}\right)_{2}\right. \)
D. \( \operatorname{Trans}\left[\operatorname{PtCl}_{2}\left(\mathrm{NH}_{3}\right)_{2}\right] \)


Find the midpoint of the segment connecting the points \( (a,-b) \) and
\( (5 a, 7 b) \)
A \( \cdot(3 a,-3 b) \)
в. \( (2 a,-3 b) \)
c. \( (3 a,-4 b) \)
D. \( (-2 a, 4 b) \)
E. none of these


The false statement regarding alkane is
A. this does not perform polymerization reaction.
B. this does not gives elimination reaction.
C . it does not disappear the colour of dilute \( K M n O_{4} \) solution..
D. it does not decolourise bromine water.


Some of the following gases are soluble
in water due to formation of their ions:
\( 1-C O_{2} \)
\( \|-N H_{3} \)
III - \( \boldsymbol{H} \boldsymbol{C l} \)
\( \mathbf{I V}-\boldsymbol{C} \boldsymbol{H}_{\mathbf{4}} \)
\( \mathbf{V}-\boldsymbol{H}_{\mathbf{2}} \)
Water soluble gases can be:
A . I, IV, V
B. I, \( v \)
c. ।, ॥।, ॥।
D. IV, v


\( \int_{-\pi / 2}^{\pi / 2} \sqrt{\cos ^{2 n-1} x-\cos ^{2 n+1} x} d x, \) where


Which of the following gases is/are heavier than dry air? This question has multiple correct options
A. Moist air
B. Oxygen
c. Moist nitrogen
D. Hydrogen sulphide


The lattice energies of \( \boldsymbol{K} \boldsymbol{F}, \boldsymbol{K} \boldsymbol{C l}, \boldsymbol{K} \boldsymbol{B r} \)
and \( K I \) follows the order:
A. \( K F>K C l>K B r>K I \)
B. \( K I>K B r>K C L>K F \)
c. \( K F>K C l>K I>B r \)
D. \( K I>K B r>K F>K C l \)


Which of the following indicates the correct order of variation in atomic
size?
A. \( B e>C>F>N e \)
в. \( B e>C>F<N e \)
c. \( B e<C<F<N e \)
D. \( F<N e<B e<C \)
\( C \)


The point at which the hyperbola
intersects the transverse axis are called
the \( \ldots \). of the hyperbola.


For the equation \( \boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x}+\boldsymbol{c}=\boldsymbol{0}, \boldsymbol{a}, \boldsymbol{b} \)
and \( c \) are real
Statement 1: If the equation \( a x^{2}+b x+ \)
\( c=0,0<a<b<c, \) has non-real
complex roots \( z_{1} \) and \( z_{2}, \) then \( \left|z_{1}\right|> \)
\( \mathbf{1},\left|\boldsymbol{z}_{2}\right|>\mathbf{1} \)
Statement 2: Complex roots always
occur in conjugate pairs.
A. Both the statements are true, and Statement 2 is the correct explanation for Statement 1
B. Both the statements are true, but Statement 2 is not the correct explanation for Statement 1
c. Statement 1 is true and Statement 2 is false.
D. Statement 1 is false and Statement 2 is true


If \( p_{1}, p_{2}, p_{3} \) are lengths of
perpendiculars from points \( \left(\boldsymbol{m}^{2}, \mathbf{2 m}\right) \) \( \left(m m^{\prime}, m+m^{\prime}\right) \) and \( \left(m^{\prime}^{2}, 2 m^{\prime}\right) \) to the
line \( x \cos \alpha+y \sin \alpha+\frac{\sin ^{2} \alpha}{\cos \alpha}=0 \) then
\( \boldsymbol{p}_{1}, \boldsymbol{p}_{2}, \boldsymbol{p}_{3} \) are in
A. A.P
в. G...P
c. н.P
D. A.G.P.P


Draw simple diagrams to show how electrons are arranged are arranged in the following molecules:
a) Calcium oxide (CaO)
b) Water \( \left(H_{2} O\right) \)
c)Chlorine \( \left(C l_{2}\right) \)


Which of the following process
represents \( \gamma \) -decay?
A \( \cdot \frac{A}{Z} X+_{0}^{1} n \rightarrow_{Z-2}^{A-3} X+c \)
B . \( _{Z} X+_{-1} e \rightarrow_{Z-1}^{A} X+g \)
c. \( \frac{A}{Z} X+r \rightarrow_{Z-1}^{A} X+a+b \)
D. \( \frac{A}{Z} X \rightarrow \frac{A}{Z} X+\gamma \)


Although C-H bond in acetylene has greatest bond energy of all C-H bond, yet it is most acidic.
If true enter 1 else 0
\( A \)


Which of the following increasing order is not correct as mentioned in the
property with it?
A \( \left.. H C l O<H C l O_{2}<H C l O_{3}<H C l O_{4} \text { (thermal stability }\right) \)
B. \( H C l O_{4}<H C l O_{3}<H C l O_{2}<H C l O \) (oxidising power)
C. \( F^{-}<C l^{-}<B r^{-}<I^{-} \) (reducing nature)
D. \( H I O_{4}<I C l<I_{2}<H I \) (oxidation number of iodine)


In the bell jar experiment, after starting the vacuum pump the sound gradually become fainter and finally we hear a feeble sound. Why?
A. The Vacuum pump absorbs the sound
B. The medium is sucked by the pump
c. The bell jar behaves as isolated medium
D. The bell do not produce such strong sound as it was producing earlier


It is easier to liquefy oxygen than
hydrogen because:
A. oxygen has a higher critical temperature and lower inversion temperature than hydrogen.
B. oxygen has a lower critical temperature and higher inversion temperature than hydrogen.
C. oxygen has a higher critical temperature and higher inversion temperature than hydrogen.
D. the critical temperature and inversion temperature of oxygen is very low.


A copper rod of length \( l \) is suspended from the ceiling by one of its ends. Find the relative increment of its volume
\( \frac{\Delta V}{V} \)
A \( \cdot \frac{\Delta V}{V}=(1-2 \mu) \frac{\Delta l}{l} \)
в. \( \frac{\Delta V}{V}=(1-3 \mu) \frac{\Delta l}{l} \)
c. \( \frac{\Delta V}{V}=(1-2 \mu) \frac{2 \Delta l}{l} \)
D. \( \frac{\Delta V}{V}=(1-3 \mu) \frac{3 \Delta l}{l} \)


Match column I with column II and
select the correct option from the codes
given.
Column I
A. Binomial nomenclature
(i) Hippocrates
B. The Darwin of the \( 20^{t h} \)
(ii) Ernst Mayr century
C. Father of botany
(iii) Linnaeus
(iv)
D. Father of medicine \( \quad \) Theopharastus
\( A \cdot A-(\text { iii) }, B-(i i), C-(i v), D-(i) \)
B. A-(iii), B-(ii), C-(i), D-(iv)
C \( . A-(i), B-(i i), C-(i i i), D-(i v) \)
D. A-(ii), B-(iii), C-(iv), D-(i)


Give the IUPAC name of the following compound


If \( \boldsymbol{A}=\left(\left[\begin{array}{ll}\mathbf{7} & \mathbf{2} \\ \mathbf{1} & \mathbf{3}\end{array}\right]\right) \) and \( \boldsymbol{A}+\boldsymbol{B}= \)
\( \left(\left[\begin{array}{cc}-1 & 0 \\ 2 & -4\end{array}\right]\right), \) then the matrix \( B= \)
\( \mathbf{A} \cdot\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \)
В. \( \left[\begin{array}{cc}6 & 2 \\ 3 & -1\end{array}\right] \)
c. \( \left[\begin{array}{cc}-8 & -2 \\ 1 & -7\end{array}\right] \)
D. \( \left[\begin{array}{cc}8 & 2 \\ -1 & 7\end{array}\right] \)


In how many ways can 6 women draw
water from 6 wells, if no well remains
used?


A particle of mass \( m \) and negative
charge \( q \) is thrown in a gravity free
space with speed \( u \) from the point \( A \) in the large nonconducting charged sheet with surface charge density \( \sigma, \) as
shown in figure. The maximum
distance from \( A \) on sheet where the
particle can strike is \( \frac{\boldsymbol{x} \epsilon_{0} \boldsymbol{u}^{2} \boldsymbol{m}}{\boldsymbol{q} \boldsymbol{\sigma}} . \) Find \( \boldsymbol{x} \)


A reaction is catalysed by \( \boldsymbol{H}^{+} \) ion; in presence of \( \boldsymbol{H} \boldsymbol{A} \) rate constant is \( \boldsymbol{2} \times \)
\( 10^{-3} \) min \( ^{-1} \) and in presence of \( H B \) rate
constant is \( 1 \times 10^{-3} \) min \( ^{-1} \)
\( \boldsymbol{H} \boldsymbol{A} \) and \( \boldsymbol{H} \boldsymbol{B} \) (both strong acids) have
relative strength as:
A . 0.5
B. 0.002
c. 0.001
D. 2


Hydrogen blow torch is based on:
A. short bond length of \( H_{2} \)
B. high bond energy of \( H_{2} \)
C . high calorific value of \( H_{2} \)
D. least molecular weight


\( N H_{2} O H \) can be used as :
This question has multiple correct options
A. on oxidising agent
B. a reducing agent
c. an autioxidant in photographic developers
D. oxime forming refent (with carbonyl compound)


Specify the coordination geometry and
hybridisation of \( N \) and \( B \) atoms in a 1:
1 complex of \( B F_{3} \) and \( N H_{3} \)
\( \mathbf{A} \cdot N: \) tetrahedral, \( s p^{3} ; B: \) planar, \( s p^{2} \)
B. \( N: \) pyramidal, \( s p^{3} ; B: \) pyramidal, \( s p^{3} \)
C. \( N: \) pyramidal, \( s p^{3} ; B: \) planar, \( s p^{3} \)
D. \( N: \) tetrahedral, \( s p^{3} ; B: \) tetrahedral, \( s p^{3} \)


The location of lymph glands
in Pheretima is
A \( \cdot 4^{t h}, 5^{t h} \) and \( 6^{t h} \) segment
B. \( 10^{\text {th }} \) to \( 20^{\text {th }} \) segment
\( \mathbf{c} \cdot 26^{t h} \) to the last segment
D. \( 13^{\text {th }} \) segment


\( B \) can be obtained from halide by van-
Arkel method. This involves reaction:
\( \mathbf{A} \cdot 2 B I_{3} \frac{\operatorname{Red} \text { hot } \mathrm{W} \text { or } \mathrm{Ta}_{\mathrm{a}}}{\text { filament }} 2 B+3 I_{2} \)
B. \( 2 B C l_{3}+3 H_{2} \frac{\text { Red hot w or Ta }}{\text { filanent }} 2 B+6 H C l \)
c. both (A) and (B)
D. none of the above


Identify the true statement regarding
Daniel cell:
A. zinc ions flows across salt bridge
B. \( K^{+} \) ions move from salt bridge to \( C u / C u^{+2} \) half cell
C. Oxidation takes place at copper electrode
D. Flow of current takes place from copper electrode to zinc electrode


Bryophytes are the first land plants but incompletely adapted to land conditions as
(i) Plant body is parenchymatous.
(ii) Protonema is present.
(iii) Male gametes are mobile.
(iv) Stomata are absent in liverworts.
Which of the above-mentioned
statement(s) is/are correct?
A. only (i)
B. Only (iii)
c. (i), (ii) and (iii)
D. (i), (ii), (iii) and (iv)


In the given molecule, which
atom/group is above the plane of the paper?
A. chlorine
B. lodine
c. Hydroxy
D. Ethy


Number of unhybridised orbitals in vinyl acetylene are:
A . 3
B. 7
\( c \cdot 4 \)
\( D \)


If \( f(x)=a x^{2}+b x+c \) then show that
\( \lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}=2 a x+b \)


36 men can complete a piece of work in 18 days. In how many days will 27 men
complete the same work?
A \( \cdot 12 \)
B. 18
c. 22
D. 24
E. None of these


Which of the following instruments is used for detecting electric charge?
A. Ammeter
B. Galvanometer
c. Electroscope
D. None of the above


The sum of the series \( \frac{5}{13}+\frac{55}{13^{2}}+\frac{555}{13^{3}}+ \)
\( \dots \dots \infty \) is
\( \mathbf{A} \cdot \frac{65}{36} \)
B. \( \frac{65}{32} \)
\( \mathbf{C} \cdot \frac{25}{36} \)
D. none of these


Why is soft iron used as the core of the
electromagnet in an electric bell ?


According to Hooke's Law, the elongation produced in a body is :
A. proportional to the force applied
B. inversely proportional to the force applied
c. constant
D. independent of the force applied


Name of an enzyme used to dissolve the
blood clot is :
A. streptokinase
B. amylases
c. invertase
D. phenylketoneurea


Action of heat on aluminium hydroxide.


Two superimposing waves are
represented by equation \( \boldsymbol{y}_{1}= \)
\( 2 \sin 2 \pi(10 t-0.4 x) \) and \( y_{2}= \)
\( 4 \sin 2 \pi(20 t-0.8 x) . \) The ratio of \( I_{\max } \) to
\( \boldsymbol{I}_{m i n} \)
\( \mathbf{A} \cdot 36: 4 \)
B. 25: 9
\( c \cdot 1: 4 \)
D. 4: 1


The radius of the solar system is
A. 39.5 light years
B. 39.5 parsec
c. 39.5 АU
D. none of these


A loaded transport truck with a mass of \( 38000 \mathrm{kg} \) is travelling at \( 1.20 \mathrm{m} / \mathrm{s} \). What will be the velocity of a \( 1400 \mathrm{kg} \) car if it has the same momentum?
A. \( 32.57 \mathrm{m} / \mathrm{s} \)
B. 30 \( \mathrm{m} / \mathrm{s} \)
\( c \cdot 15 m / s \)
D. 32.67 \( \mathrm{m} / \mathrm{s} \)


Identify on which of the following, diffuse reflection would most likely to occur.
A . carpet
B. mirror
c. glass tabletop
D. calm lake
E. sunglasses lens


Assertion: Stress is the internal force
per unit area of a body Reason: Rubber is more elastic than
stee
A. If both assertion and reason are true but the reason is the correct explanation of assertion.
B. If both assertion and reason are true but the reason is not the correct explanation of assertion
c. If assertion is true but reason is false
D. If both the assertion and reason are false.
E. If reason is true but assertion is false


Find the distance of a point (3,-5) from the line \( 3 x-4 y-5=0 \)


Compute the value of \( \theta \) in the first mean
value theorem \( \boldsymbol{f}(\boldsymbol{x}+\boldsymbol{h})=\boldsymbol{f}(\boldsymbol{x})+ \)
\( \boldsymbol{h} \boldsymbol{f}^{\prime}(\boldsymbol{x}+\boldsymbol{\theta h}) \) if \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x}+\boldsymbol{c} \)
A \( \cdot \frac{1}{2} \)
в. \( \frac{1}{3} \)
\( c \cdot \frac{1}{4} \)
D. \( \frac{1}{5} \)


After two or three years of the secondary growth, the cortex is dicot root?
A. Remains intact
B. Is completely sloughed away
c. Is largely lost
D. Is converted into cork


A wire \( \left(Y=2 \times 10^{11} N / m\right) \) has length
\( 1 m \) and area \( 1 m m^{2} . \) The work required
to increased its length by \( 2 m m \) is
A. \( 400 J \)
B. \( 40 J \)
c. \( 0.4 J \)
D. \( 0.04 J \)


Given 5 different green dyes, four different blue dyes and three different red dyes, the number of combinations of dyes which can be chosen taking at least one green and one blue dye is??
A . 3600
B. 3720
\( c .3800 \)
D. 3500


Number of \( C r-O \) bonds in dichromate
\( \operatorname{ion}\left(C r_{2} O_{7}^{2-}\right) \) is:
\( A \cdot 6 \)
B. 7
\( c \cdot 8 \)
D. 4


Two stars have masses \( 5 \times 10^{30} \mathrm{kg} \) and
\( 7.5 \times 10^{30} \) kg respectively. If they
ultimately convert into black holes, the ratio of Schwarzschild radius of the
black holes is
A .2: 3
B. 4: 9
\( c \cdot 3: 2 \)
D. 9: 4


Match the terms to these definitions:
all-or-none law, colour vision, afferent
nerves, efferent nerves, fovea centralis,
impulse, macula lutea, myopia, neuron, reflex, statoreceptor, visual
acuity, meninges, blind spot are the nerves which conduct nerve
impulses from the central nervous
system to the peripheral organs and
tissues.


The mass of a planet is 5 times the mass of the earth but its diameter is
the same as that of the earth. How
much work is done in lifting a stone of mass \( 3 k g \) through a distance of 1 m on
this planet?
B. \( 150 j \)
c. \( 175 j \)
D. 200 \( j \)


000
0
0
\( \infty \)
00


Sum of certain consecutive odd positive
integers is \( 57^{2}-13^{2} . \) Find them


Short / Long type answer type questions
What is the path of blood flow from the
heart to the lungs, back to the heart, from the heart to systemic circulation, and back to the heart again?


The intensity of a wave is the amount of energy incident on a surface per sec
A. True
B. False


An open capillary tube contains a drop of water. When the tube is in its vertical
position, the drop forms a column with
a length of 2 \( c m \). The internal diameter
of the capillary tube is 1 mm. Determine the radii of curvature of the upper and
lower meniscus in each case. Consider
the wetting to be complete. Surface tension of water \( =\mathbf{0 . 0 0 7 5} N / \boldsymbol{m} \)


A rectangle with length \( =18 \mathrm{cm} \) and
breadth \( =12 \mathrm{cm} \) has same perimeter as
that of a regular pentagon. Find the side (in \( c m \) ) of the pentagon


Write a note of Plumbosolvency.


In which of the following, displacement reaction is possible?
A. Solution of \( A g N O_{3}+ \) coin of copper
B. Solution of \( M g C l_{2}+ \) Coin of Aluminium
c. Solution of \( F e S O_{4}+ \) coin of Silver
D. Solution of \( N a C l+ \) Coin of Copper


Solve the following differential equation \( \frac{d y}{d x}=x^{2} \)


When a satellite going round the earth
in a circular orbit of radius \( r \) and speed
\( v, \) loses some of its potential energy, then :
A. both \( r \) and \( v \) will increase
B. both \( r \) and \( v \) will decrease
c. \( r \) will decrease and \( v \) will increase
D. \( r \) will increase and \( v \) will decrease


An average emf of \( 32 V \) is induced in a
coil in which the current drops from
\( 10 A \) to \( 2 A \) in \( 0.1 s . \) The inductance of the
coil is:
A \( .0 .32 H \)
в. \( 0.4 H \)
\( c .4 H \)
D. \( 0.04 H \)


The velocity \( v \) of waves produced in
water depends on their wavelength \( \lambda \)
the density of water \( \rho, \) and acceleration
due gravity \( g \). The square of velocity is
proportional to:
\( \mathbf{A} \cdot K \sqrt{(g \lambda)} \)
B . \( \lambda^{-1} g^{-1} \rho^{-1} \)
c. \( \lambda \rho g \)
D. \( \lambda^{2} g^{-2} \rho^{-1} \)


Describe the cleansing action of soap?


Diagonals of a square are equal, as they
bisect each other at
A \( .90^{\circ} \)
B. \( 60^{\circ} \)
\( c \cdot 45^{\circ} \)
D. \( 30^{\circ} \)


\( \chi_{1} \) and \( \chi_{2} \) are susceptibility of \( a \)
paramagnetic material at
temperatures \( T_{1} K \) and \( T_{2} K \)
respectively, then
A \( \cdot x_{1}=x_{2} \)
в. \( \chi_{1} T_{1}=\chi_{2} T_{2} \)
c. \( \chi_{1} T_{2}=\chi_{2} T_{1} \)
D \cdot \( \chi_{1} \sqrt{T_{1}}=\chi_{2} \sqrt{T_{2}} \)


In which of following groups of plants, the life cycle includes the gametophytic phase which is dominant, photosynthetic, independent and sexually reproducing?
A. Angiosperms
B. Gymnosperms
c. Bryophyta
D. Pteridophyta


An object weighs \( 30 N . \) It displaces a
volume of water that weighs \( 25 N \)
(i) what is the buoyant force on the object?
(ii) will this object float or sink? Explain
your answer.


Which one of the following statements
is correct?
A. Viruses are obligate parasites
B. All fungi are pathogenic
c. All algae are eukaryotic
D. Bacteria are always harmful to mankind


Which of the following does not cause soil pollution?
A. Industrial wastes
B. Urban wastes
c. Agricultural practices
D. None of above


Which of the following molecules does not have net dipole moment?
A. \( C H_{3}-B r \)
в. \( C H_{2} C l_{2} \)
c. \( H_{2} C=C H_{2} \)
D. \( H C O O H \)


A proton and a neutron are both shot at
\( 100 m s^{-1} \) toward a \( _{6}^{12} C \) nucleus. Which
particle, if either, is more likely to be absorbed by the nucleus?
A. The proton.
B. The neutron
c. Both particles are about equally likely to be absorbed
D. Neither particle will be absorbed


Let \( \boldsymbol{A}=\{\boldsymbol{x}, \boldsymbol{y}, \boldsymbol{z}\}, \boldsymbol{B}=\{\boldsymbol{u}, \boldsymbol{v}, \boldsymbol{w}\} . \) Then
the function \( \boldsymbol{f}: \boldsymbol{A} \rightarrow \boldsymbol{B} \) defined by
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{u}, \boldsymbol{f}(\boldsymbol{y})=\boldsymbol{v}, \boldsymbol{f}(\boldsymbol{z})=\boldsymbol{w} \) is
A. Many-one into
B. One-one into
c. One-one onto
D. Many-one onto


\( A B C \) is a triangle whose altitudes \( B E \)
and \( C F \) to sides \( A C \) and \( A B \)
respectively, are equal. Which of these conditions is not required to prove \( \triangle A B E \cong \triangle A C F ? \)
A \( . \angle B=\angle C \)
B. \( \angle B A E=\angle F A C \)
c. \( \angle A F C=\angle A E B \)
D. \( B E=C F \)


Convert \( \frac{7}{4} \) into mixed fraction.
A \( \cdot 1 \frac{3}{4} \)
B. \( 2 \frac{3}{4} \)
c. \( 6 \frac{3}{4} \)
D. None of the above


Calculate no. of ions, atoms, protons,
electrons in \( 3 g C O_{3}^{2-} \)


A student slowly mixes salt into \( 25 \mathrm{m} \)
of water until no more salt dissolves in
it. The student could make more salt
dissolve in the solution by:
A. cooling it
B. evaporating it
c. heating it
D. stirring it


Halogenoalkanes are also called as:
A. alkyl halide
B. haloalkanes
C. both \( A \) and \( B \)
D. none of these


Two balls, each of radius \( R \), equal mass
and density are placed in contact, than the force of gravitation between them is
proportional to
\( ^{\mathrm{A}} \cdot F \propto \frac{1}{R^{2}} \)
в. \( F \propto R \)
\( c \cdot F \propto R^{4} \)
D. \( F \propto \frac{1}{R} \)


\( \int_{\log 2}^{t} \frac{\boldsymbol{d}_{\boldsymbol{X}}}{\sqrt{\boldsymbol{e}^{\boldsymbol{x}}-\mathbf{1}}}=\frac{\boldsymbol{\pi}}{\boldsymbol{6}}, \) then \( \mathbf{t}= \)
\( A \cdot 4 \)
B. \( \log 8 \)
\( c \cdot \log 4 \)
D. \( \log 2 \)


Could aluminium foil serve the purpose
in \( \alpha \) - ray scattering experiment. Explain the reason behind it.


The semi-major axes of the orbits of Mercury and Mars in the astronomical units are 0.387 and 1.524
respectively. If the time period of Mercury is 0.241 year, then the time period of mars will be
A. 0.9 Year
B. 0.19 Year
c. 1.9 Year
D. 2.9 Years


Which of the following elements shows
oxidation state up to +7
\( \mathbf{A} \cdot A m \)
в. \( T u \)
\( c \cdot U \)
D. \( N p \)


Solve:
\( \int \frac{1}{(\sin x-2 \cos x)(2 \sin x+\cos x)} d x \)


Respiratory enzymes are found associated with plasma membrane in
A. clostridium
B. Chlorella
c. chara
D. chlamydomonas


Which hydrocarbon is present in the
natural gas?
A. Butane
B. Ethane
c. Propane
D. Methane


Displacement-time graph of a particle moving in a straight line is as shown in figure. Select the correct alternative
This question has multiple correct options
A. Work done by the all the forces in region OA and BC is positive
B. Work done by the forces in region AB is zero
c. Work done by all the forces in region BC is negative
D. Work done by all the forces in region OA is negative


Figure shows a balanced Wheatstone
net. Now, it is disturbed by changing \( \mathrm{P} \)
to \( 11 \omega \).Which of the following steps will
not bring the bridge to balance again?
A. Increasing R by \( 2 \omega \)
B. Increasing S by \( 20 \omega \)
C. Increasing Q by \( 10 \omega \)
D. Making product \( R Q=2200\left(\omega^{2}\right) \)


A compound, containing only carbon, and hydrogen and oxygen, has a molecular weight of \( 44 . \) On complete oxidation it is converted into a
compound of molecular weight \( 60 . \) The original compound is
A. an aldehyde
B. an acid
c. an alcohol
D. an ether


-2
\( \infty \)
\( \infty \)
\( \infty \)
00\}


For the given DNA sequence, the complementary mRNA sequence is given as below
\( \mathbf{5}^{\prime} \boldsymbol{C G T A C G T A 3}^{\prime} \)
A . \( 3^{\prime} U C U A U G A A 5^{\prime} \)
B. \( 3^{\prime} \)TACATAGA \( 5^{\prime} \)
c. \( 3^{\prime} G C A U G C A U 5 \)
D. 3'UACAAGGA5'
E . \( 3^{\prime} \) ATGTCCTT5


If it turns an angle of \( y \) rad in these \( 3 s \)
then \( 2 y \) is equal to \( 250+x \). Find \( x \)


The electromagnetic wave travel in free space with the velocity of
A. Sound
B. Light
c. Greater than that of light
D. Greater than that of sound


What will be the molarity of \( I O_{3}^{\Theta} \) ions in the solution after completion of the
reaction?
A .0 .152
B. 0.081
c. 0.41
D. 0.03


Choose the correct answers from the
alternatives given :
Which one of the following processes makes direct use of oxygen?
A. Glycolysis
B. Krebs cycle
C. Alcoholic fermentation
D. Electron transport


Which of the following can be used as measures of dispersions?
A. Range
B. Percentiles
c. standard Deviation
D. All


The gravitational force is
A. always attractive
B. always repulsive
C. either attractive or repulsive
D. None of these


Which polymer is used in the manufacture of paints and lacquers?
A. Bakelite
B. Glyptal
c. Polypropene
D. Polyvinyl chloride


Two point charge -q and +q/2 are situated at the origin and the point \( (a, 0,0) \) respectively. The point along the X-axis where the electric field vanishes
is
A \( \cdot x=\frac{a}{\sqrt{2}} \)
В. \( x=\sqrt{2} a \)
c. \( x=\frac{\sqrt{2} a}{\sqrt{2}-1} \)
D. \( x=\frac{\sqrt{2} a}{\sqrt{2}+1} \)


A triangular loop of side \( l \) carries a
current \( i . \) It is placed in a magnetic field B such that the plane of the loop is in
the direction of \( B \). The torque on the
loop is:
A . \( i \)Вᅵ
В \( \cdot i^{2} N l \)
\( ^{\mathrm{c}} \cdot \frac{\sqrt{3}}{4} B i l^{2} \)
D. infinity


Water falls from a height of \( 500 \mathrm{m} \) What is approximately the rise temperature of water at bottom if whole energy is used to heat the water?
A \( .5000^{\circ} \mathrm{C} \)
B. \( 500^{\circ} \mathrm{C} \)
c. \( 1.17^{\circ} \mathrm{C} \)
D. \( 0.23^{\circ} \mathrm{C} \)


Short / Long Answer Type Questions:
How meiosis differs from mitosis? In
which plant organ both divisions can be studied?


In a zero order reaction half life is 100
sec. After how much time 78 fraction of
reactant will be reacted?
A. 300 sec
B. 200 sec
\( c . \) 175 sec
D. 25 sec


The displacement of a particle in
S.H. \( M . \) is indicated by equation \( y= \)
\( \mathbf{1 0} \sin (\mathbf{2 0 t}+\boldsymbol{\pi} / \mathbf{3}) \) where \( \boldsymbol{y} \) is in
metres. The value of maximum velocity
of the particle will be :
A . \( 100 \mathrm{m} / \mathrm{sec} \)
B . 150 m/sec.
c. \( 200 \mathrm{m} / \mathrm{sec} \)
D. 400 \( \mathrm{m} / \mathrm{sec} \)


Which of the following does earth's magnetic field deflect coming from outersphere?
A. Gas atoms
B. Radioactive isotopes
c. charged particles
D. Ozone molecules


What would be the approximate quantum number, n, for a circular orbit
of hydrogen, \( 1 \times 10-5 \mathrm{cm} \) in diameter?


Which of the following factors raise the
\( P_{50} \) and shifts the \( H b O_{2} \) dissociation curve to right and vice
versa?
a. Rise in \( \boldsymbol{P} \boldsymbol{c o}_{2} \)
b. Fall in temperature
c. Rise in \( \boldsymbol{H}^{+}(=\text {fall in } \mathrm{pH} \) )
d. Fall in diphosphoglyceric acid
A. a and b are correct
B. b and d are correct
c. a and c are correct
D. a, b and c are correct


Mischmetal is:
A. an alloy of lanthanide and nickel
B. an alloy of lanthanide and copper
C . an alloy of lanthanide, iron and carbon
D. an alloy of lanthanide, magnesium and nickel


Find the area of the cardboard required
to make a closed box of length 250
\( \mathrm{cm}, \) breath \( 0.5 \mathrm{m} \) and height \( 15 \mathrm{cm} \)


The typical operating current for a lightemitting diode is approximately:
A .1 to \( 5 m A \)
B. 5 to \( 20 m A \)
c. 20 to \( 500 m A \)
D. 500 to \( 2000 m A \)


The graph given shows the effect of substrate concentration on the rate of
reaction of the enzyme phosphatase
from green gram. What does the graph indicates?
A. The rate of enzymes reaction is directly proportional to the substrate concentration.
B. Presence of an enzyme inhibitor in the reaction mixture
C. Formation of an enzyme substrate complex.
D. At higher substrate concentration, the pH increase.


f \( |z|=1, z \neq i, \) then \( z \) can be written in
the form
A \( \cdot \frac{1+x}{1-x}(x \in R) \)
B. \( \frac{1+i x}{1-i x}(x \in R) \)
c. \( \frac{i+x}{1-x}(x \in R) \)
D. None of these


If a source of power \( 4 k W \) produces \( 10^{20} \) photons/second, the radiation belongs to a part of the spectrum called:
A. y-rays
B. X-rays
c. Ultraviolet rays
D. Microwaves


If the points \( (3,-2),(x, 2) \) and (8,8) are collinear find \( 10 x \) using determinant


Which can act as buffer?
\( \mathbf{A} \cdot N H_{4} C l+N H_{4} O H \)
B \( \cdot C H_{3} C O O H+C H_{3} C O O N a \)
c. \( 40 \mathrm{mL} \) of \( 0.1 \mathrm{M} \mathrm{NaCN}+10 \mathrm{mL} \) of \( 0.1 \mathrm{M} \mathrm{HCl} \)
D. All of the above


Find the length of the longest pole that
can placed in a room \( 12 \mathrm{m} \) long \( 8 \mathrm{m} \) broad and \( 9 \mathrm{m} \) high.


Assertion (A): In damped vibrations, amplitude of oscillation decreases Reason (R): Damped vibrations indicate
loss of energy due to air resistance
A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true and R is not the correct explanation of
C. A is true and \( R \) is false
D. A is false and R is true


For two bodies (which are in contact
with each other) to be in thermal equilibrium, they must be separated by
A. an insulating wall
B. a conducting wall
c. both A and B
D. none of the above


One of the two boxes, box \( \boldsymbol{I} \) and box \( \boldsymbol{I} \boldsymbol{I} \)
was selected at random and balls are
drawn randomly out of this box. The ball was found to be red.If the probability
that this red ball was drawn from box \( I I \)
is \( \frac{1}{3}, \) then the correct option options
with the possible values of \( n_{1}, n_{2}, n_{3} \)
and \( n_{4} \) is (are)
This question has multiple correct options
\( \mathbf{A} \cdot n_{1}=3, n_{2}=3, n_{3}=5, n_{4}=15 \)
B . \( n_{1}=3, n_{2}=6, n_{3}=10, n_{4}=50 \)
C \( . n_{1}=8, n_{2}=6, n_{3}=5, n_{4}=20 \)
D \( \cdot n_{1}=6, n_{2}=12, n_{3}=5, n_{4}=20 \)


A biased coin with probability \( P,(0<p< \)
1) of heads is tossed until a head
appear for the first time. If the
probability that the number of tosses
required is even is \( \frac{2}{5} \) then \( P= \)
\( A \cdot \frac{2}{5} \)
B.
\( c \cdot \frac{2}{3} \)
\( D \cdot \frac{1}{3} \)


Write down all possible subsets of the following set. \( \{a, b, c\} \)


How much interest does a Rs. 410
investment earn at \( 5 \% \) over 10 year?
A. 105
в. 205
\( c .305 \)
D. 405


The direction cosines of a line parallel to the planes \( 3 x+4 y+z=0 \) and \( x- \)
\( 2 y-3 z=5 \) are
\( \mathbf{A} \cdot(-1,1,-1) \)
B \( \cdot\left(-\frac{1}{\sqrt{3}},-\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right) \)
\( ^{\mathbf{c}} \cdot\left(-\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{-1}{\sqrt{3}}\right) \)
D. no line possible


If \( A \) is an \( m \times n \) matrix such that \( A B \)
and \( B A \) are both defined, then order of
\( B \) is
\( \mathbf{A} \cdot m \times n \)
в. \( n \times m \)
c. \( n \times n \)
D. \( m \times m \)


The yield of chlorobenzene obtained by
reaction of phenols with \( P C l_{5} \) is less,
due to the formation of :
A. o-chlorophenol
B. p-chlorophenol
c. phosphorus oxychloride
D. triphenyl phosphate


What is a joint? Describe various kinds of
joint found in our body.


Sodium nitrate on heating with zinc dust and caustic soda gives:
A. \( N a N O_{2} \)
в. \( N H_{3} \)
\( c \cdot N O_{2} \)
D. \( N_{2} \) O


The differential equation by eliminating
\( \boldsymbol{a}, \boldsymbol{b} \) from \( (\boldsymbol{x}-\boldsymbol{a})^{2}+(\boldsymbol{y}-\boldsymbol{b})^{2}=\boldsymbol{r}^{2} \) is
\( \mathbf{A} \cdot\left(1-\left(y_{1}\right)^{2}\right)^{3}=r^{2}\left(y_{2}\right)^{2} \)
B . \( \left(1+\left(y_{1}\right)^{2}\right)^{3}=r^{2}\left(y_{2}\right)^{2} \)
C. \( \left(1+\left(y_{1}\right)^{2}\right)^{3}=r y^{2} \)
D. \( y_{1}^{2}=r y^{2} \)


Which of the following plant and its mode of nutrition is not correctly
matched?
A. cuscuta - stem parasite
B. Mucor- Autotroph
c. orobanche - Root parasite
D. Drosera - Insectivorous


Prove that \( 3^{n+1}>3(n+1) \)


If \( A \) and \( B \) are symmetric matrices of the same order and \( X=A B+B A \) and
\( \boldsymbol{Y}=\boldsymbol{A} \boldsymbol{B}-\boldsymbol{B} \boldsymbol{A}, \) then \( \boldsymbol{X} \boldsymbol{Y}^{\boldsymbol{T}} \) is equal to
A . \( X Y \)
в. \( Y X \)
\( \mathrm{c} \cdot-Y X \)
D. none of these


Soda ash is prepared by passing over a concentrated solution
of sodium hydroxide.
A \( . H_{2} \)
в. \( O_{2} \)
\( \mathrm{c} \cdot H_{2} \)
D. \( C O_{2} \)


Two waves represented by \( y_{1}=a \sin \omega t \) and \( y_{2}=a \sin (\omega t+\phi) \) and \( \phi=\frac{\pi}{2} \) are
superposed at any point at a particular instant. The resultant amplitude is
\( A \)
B. \( 4 a \)
\( c \cdot \sqrt{2} a \)
D. zero


The class of diffraction in which the
incident and diffracted wave fronts are
spherical is called
A. Fraunhofer diffraction
B. Fresnel diffraction
c. Huygens' diffraction
D. Newton's diffraction


See figure and complete the following
statements.

The \( x \) -coordinate and \( y \) -coordinate of the
point \( \boldsymbol{L} \) are and
respectively. Hence the coordinate of \( L \)
are
A \( .-5,-4,(-5,-4) \)
B. -5,-3,(-5,-4)
c. -5,4,(-5,-4)
D. 5,-4,(-5,-4)


Phosphorus separates, in the extraction of iron, as:
A \( \cdot \operatorname{slag}, C a_{3}\left(P O_{4}\right)_{2} \)
B. volatile \( P_{2} O_{5} \)
\( \mathbf{c} \cdot \operatorname{slag}, M g_{3}\left(P O_{4}\right)_{2} \)
D. \( C a_{3} P_{2} \)


The area bounded by the curves \( y= \)
\( \cos x \) and \( y=\sin x \) between the ordinates \( \boldsymbol{x}=\mathbf{0} \) and \( \boldsymbol{x}=\frac{\mathbf{3} \boldsymbol{\pi}}{\mathbf{2}} \) is
A. \( (4 \sqrt{2}-2) \) sq units
B . \( (4 \sqrt{2}+2) \) sq units
c. \( (4 \sqrt{2}-1) \) sq units
D. \( (4 \sqrt{2}+1) \) sq units


Find the number of ways of choosing two squares which are not adjacent in a \( 8 X 8 \) chess board
A. 1904 ways
B. 904ways
c. 1004 ways
D. 2904ways


\( \boldsymbol{C u O}+\boldsymbol{H}_{2} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{C u} \)
Above reaction is an example of :
A. redox reaction
B. synthesis reaction
c. neutralisation
D. analysis reaction


f \( i=0.25 \) amp. in the fig the value of \( R \)
is :-
\( A \cdot 48 \Omega \)
в. \( 12 \Omega \)
c. \( 120 \Omega \)
D. \( 42 \Omega \)


Let \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) be such that \( \boldsymbol{f}(\boldsymbol{2} \boldsymbol{x}- \)
1) \( =f(x) \) for all \( x \epsilon R \) fif \( f \) is continuous
\( \operatorname{at} x=1 \) and \( f(1)=1, \) then
This question has multiple correct options
A. \( f(2)=1 \)
B. \( f(2)=2 \)
c. \( f \) is continuous only at \( x=1 \)
D. \( f \) is continuous at all points


Explain with an exampple, whether the
neutron to proton ratio in a nucleus
increases or decreases due to \( \beta \) -decay.


In which of the following character a vein differs from an artery?
A. Having valves to control flow of blood
B. Having narrow lumen
c. Having muscular wall
D. Having pigmented wall to give dark look


(a) Draw the molecular structoms of
following compounds:
(i) \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{\boldsymbol{6}} \)
(ii) \( \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{8} \)
(b) Explain the following observations:
(i) The molecules \( N H_{3} \) and \( N F_{3} \)
have dipole moments which are of opposite direction.
(ii) All the bonds of \( P C l_{5} \) molecule
are not equivalent.
(iii) Sulphur in vapour state exhibits paramagnetism.


In the circuit diagram of zener diode as
shown in figure, when the value of \( V_{0} \) is
8 volt, the current through zener diode s
\( i_{1} \) and when \( V_{0} \) is 16 volt, the
corresponding current is \( i_{2} . \) Find the
value of \( \left(i_{2}-i_{1}\right) . \) (Zener breakdown
voltage \( \left.=V_{2}=6 V\right) \)
A. zero
B. \( 5.0 \mathrm{mA} \)
C \( .1 .5 \mathrm{mA} \)
\( \mathbf{D} \cdot 8 m A \)


If \( R_{H} \) is the Rydberg constant, then the energy of an electron in the ground
state of Hydrogen atom is:
A \( \cdot \frac{-R_{H}}{c h} \)
в. \( \frac{-1}{R_{H} c h} \)
c. \( \frac{-h c}{R_{H}} \)
D. \( -R_{H} h c \)


Calculate the mean of the following frequency distribution.
\( \begin{array}{llll}\text { Class } & \mathbf{9 0 -} & \mathbf{1 0 0 -} & \mathbf{1 1 0 -} \\ \mathbf{1 0 0} & \mathbf{1 1 0} & \mathbf{1 2 0}\end{array} \)
Frequency 8
78


An element \( Z \) has atomic number 16 .
Answer the following questions on \( Z \) :
State the formula between \( Z \) and
Hydrogen?


A body slipping on a rough horizontal
plane moves with a deceleration of 4.0
\( m / s^{2} . \) What is the coefficient of kinetic friction between the block and the
plane?


Common characteristic of all
vertebrates, without exception is
A. Presence of exoskeleton
B. Presence of well developed skull
C. Two pairs of functional appendages
D. Division of body into head, neck, trunk and tail


A sonometer wire \( 110 \mathrm{cm} \) long produces a resonance with a tuning fork. When its length is decreased by \( 10 \mathrm{cm}, 9 \) beats per second are heard. The frequency of tuning fork is
\( \mathbf{A} \cdot 90 \mathrm{Hz} \)
B. 85 Н Н
c. 82 Нz
D. \( 75 \mathrm{Hz} \)


Dehydrated phosphorus trichloride in
water gives:
A \( \cdot H_{3} P O_{3} \)
в. \( H_{3} P O_{4} \)
c. \( H_{3} P O_{2} \)
D. none


An energy source will supply a constant
current into the load if its internal
resistance is
A. zero
B. nonzero but less than the resistance of the loadd
c. equal to the resistance of the loadd
D. very large as compared to the load resistance


The path difference between two waves \( \boldsymbol{y}_{1}=\boldsymbol{a}_{1} \sin \left(\boldsymbol{\omega} \boldsymbol{t}-\frac{\boldsymbol{2} \boldsymbol{\pi} \boldsymbol{x}}{\boldsymbol{\lambda}}\right) \) and \( \boldsymbol{y}_{2}= \)
\( \boldsymbol{a}_{2} \cos \left(\boldsymbol{\omega} \boldsymbol{t}-\frac{\boldsymbol{2} \boldsymbol{\pi} \boldsymbol{x}}{\boldsymbol{\lambda}}+\boldsymbol{\phi}\right) \)
\( ^{A} \cdot \frac{\lambda}{2 \pi}[\phi+\pi / 2] \)
в. \( \frac{\lambda}{2 \pi}[\phi] \)
c. \( \frac{\lambda}{2 \pi}[\phi-\pi / 2 \)
D. \( \frac{2 \pi}{\lambda}[\phi \)


A point charge \( +q \) is placed at the centre of a cube of side \( L \). The electric
flux emerging from the cube is
\( ^{\mathrm{A}} \cdot \frac{q}{\varepsilon_{0}} \)
B. zero
c. \( \frac{6 q L^{2}}{\varepsilon_{0}} \)
D. \( \frac{q}{6 L^{2} \varepsilon_{0}} \)


Mohini saves \( R s 4000 \) from her salary.
If this is \( 10 \% \) of her salary. What is her salary?


The figure shows the displacementtime graph of a particle executing SHM. If the time period of oscillation is \( 2 s \) then the equation of motion is given by
\( \boldsymbol{x}=\boldsymbol{z} \sin (\boldsymbol{\pi} \boldsymbol{t}+\boldsymbol{\pi} / \boldsymbol{6}) . \) Find \( \boldsymbol{z} \)


Delta formation at the mouth of
river takes place by:
A. coagulation of negative salt ions and positive river particles
B. coagulation of positive salt ions and negative river particles
C. coagulation of positive salt ions and positive river particles
D. coagulation of negative salt ions and negative river particles


Differentiate between :
Metaphase and anaphase of mitosis


\( \int \frac{\boldsymbol{d} \boldsymbol{x}}{\mathbf{1}+\mathbf{3} \boldsymbol{e}^{\boldsymbol{x}}+\boldsymbol{2} \boldsymbol{e}^{\boldsymbol{2} \boldsymbol{x}}} \cdot \)
A \( \cdot \log \frac{e^{x}\left(1-e^{x}\right)}{\left(1+2 e^{x}\right)^{2}} \)
B \( \cdot \log \frac{e^{x}\left(1+e^{x}\right)}{\left(1+e^{x}\right)^{2}} \)
C \( \cdot \log \frac{e^{x}\left(1+e^{x}\right)}{\left(1+2 e^{x}\right)^{2}} \)
D. \( \log \frac{e^{x}\left(1+e^{x}\right)}{\left(1-2 e^{x}\right)^{2}} \)


The hydrogen bridge is a
A. bond between two hydrogen atom
B. bond between two electro negative atom
C. bond between H-atom and two electronegative atom simultaneously.
D. none of these


The electronic configuration of valence
shell of \( C u \) is:
A \( \cdot 3 d^{10} 4 s^{2} \)
B. \( 3 d^{9} 9 s^{2} \)
\( \mathbf{c} \cdot 3 d^{10} 4 s \)
D. \( 3 d^{10} 4 s^{0} \)


An oscillator is basically an amplifier
with gain:
A. Less than unity
B. More than unity
c. zero
D. 0.5


In the human urinary system, there are various structures like the renal artery,
renal vein, ureter, bladder etc.

Which row shows substances that are
present in each of these structures in a
healthy person?


Calculate the radius of oxygen nucleus. Given that \( \boldsymbol{R}_{\boldsymbol{o}}=\mathbf{1 . 1} \times \mathbf{1 0}^{-\mathbf{1 6}} \mathbf{m} \)


Assertion (A) : The plants yield a milky suspension of crude rubber called latex.
Reason (R) : The latex contains about
\( 85 \% \) rubber
A. Both A and R are correct and R is the correct explanation of the A
B. Both A and R are correct but R is not the correct explanation of the \( A \)
c. A is correct but R is incorrect
D. A is incorrect but R is correct


Which of the following is true about
distance and time.
A. distance and time are always directly proportional to each other
B. distance and time are always indirectly proportional to each other.
C. distance and time are directly proportional when the velocity is constant.
D. distance and time are indirectly proportional when the velocity is constant


Angular momentum for \( \boldsymbol{p} \) -shell
electron is:
A. \( \frac{3 h}{\pi} \)
B. zero
c. \( \frac{\sqrt{2} h}{2 \pi} \)
D. none of these


Give the structure of sucrose.


Which one of the following is not present in RNA?
A . Uracil
B. Thymine
c. Guanine
D. Adenine


Lateral inversion is a feature of plane
mirrors, in which:
A. The top part of the object appears to be the bottom part of the image.
B. The left side of the object appears to be the right side of the image.
C. Image appears to be inverted upside down and also sideways.
D. All of the above.


Which is or are the correct for filament
of bulb?
This question has multiple correct options
A. Low melting point
B. High melting point
c. Made of tungsten
D. Made of nichrome


List 1 and List 2 contains four entries
each. Entries of List 1 are to be matched
with some entries of List 2. One or more
than one entries of List 1 may have the matching with the same entries of List
2


In the rectangular solid in Figure 1
calculate the distance from vertex \( \boldsymbol{A} \) to
vertex \( \boldsymbol{B} \)
A \( \cdot \sqrt{65} \)
B. \( 7 \sqrt{2} \)
\( c \)
D. 1


The equation of a wave is given by \( \boldsymbol{Y}= \) \( 5 \sin 10 \pi(t-0.01 x) \) along the \( x \) -axis.
(All the quantities are expressed in \( \mathrm{S} \) ) units \( \} . \) The phase difference the points separated by a distance of \( 10 \mathrm{m} \) along \( \mathrm{x} \) axis is
A \( \cdot \frac{\pi}{2} \)
в. \( \pi \)
\( c \cdot 2 \pi \)
D. \( \frac{\pi}{4} \)


The respective number of significant figures for the numbers 6.320,6.032 0.0006032 are then
A .3,4,8
B. 4,4,8
\( c \cdot 4,4,4 \)
D. 4,3,4


Answer the following, in short, using a
maximum 30 words.
Explain Faraday's first law of electrolysis


Assertion
Extraction of iron metal from iron oxide
ore is carried out by heating with coke.
Reason
The reaction \( F e_{2} S O_{3} \Delta F e(s)+ \)
\( \mathbf{3} / \mathbf{2} \boldsymbol{O}_{\mathbf{2}}(\boldsymbol{g}) \) is a spontaneous process at
standarde condition.
Read the above assertion and reason
and choose the correct option regarding
¡t
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


Which of the following quantities has a unit but dimensionless?
A. Strain
B. Reynolds number
c. Angular displacement
D. Poisson's ratio


18g glucose and 6 g urea are dissolved
in 1 litre aqueous solution at \( 27^{\circ} C . \) The
osmotic pressure of the solution will be
\( \mathbf{A} \cdot 3.826 \mathrm{atm} \)
B. 4.926 atm
c. 2.92 atm
D. 9.42 atm


For a particle performing SHM
A. The kinetic energy is never equal to the potential
energy
B. the kinetic energy is always equal to the potential energy
C. The average kinetic energy in one time period is equal to the average potential energy in this period
D. The average kinetic energy in any time interval is equal to average potential energy in that interval


How many structural isomers are possible with molecular formula
\( \boldsymbol{C}_{4} \boldsymbol{H}_{10} \boldsymbol{O} ? \)
\( A \cdot 3 \)
B. 5
\( c \cdot 6 \)
D. 8


The isoelectronic set of ions is:
A \( \cdot N^{3-}, L i^{+}, M g^{2+} \) and \( O^{2-} \)
B. \( L i^{+}, N a^{+}, O^{2-} \) and \( F^{-} \)
c. \( F^{-}, L i^{+}, N a^{+} \) and \( M g^{2} \)
D. \( N^{3},, O^{2-}, F^{-} \) and \( N a^{+} \)


Fill in the blank:
If a system has at least one solution, it is said to be
A. Consistent
B. Inconsistent
c. Dependent
D. Independent


How could latent heat be explained from the graph ? Explain in detail.


(a) What is the function of acid in
stomach?
(b) What is the difference between
autotrophic nutrition and heterotrophic nutrition?


If \( A \) and \( B \) are \( 3 \times 3 \) matrices and
\( |\boldsymbol{A}| \neq \mathbf{0}, \) then
This question has multiple correct options
A \( \cdot|A B|=0 \Rightarrow|B|=0 \)
B . \( |A B| \neq 0 \Rightarrow|B| \neq 0 \)
C \( \cdot\left|A^{-1}\right|=|A|^{-1} \)
D. \( |2 A|=2|A| \)


Electric potential is the force experienced by a unit positive charge placed at a point
A. True
B. False


Select the correct option representing
the excretory organs present in (i) earthworm, (ii) centipede,(iii) prawn,
and (iv) flatworm.
A. (i) Malpighian tubules
(ii) Flame cell (iii) Nelphridia
(iv) Green gland
B. (i) Flame cell (ii)Green gland (iii) Malpighian tubules
(iv) Nephridia
C. (i) Nephridia (ii)Malpighian tubules (iii) Green gland
(iv) Flame cell
D. (i)Green gland (ii) Nephridia (iii) Flame cell (iv) Malpighian tubules


A body is projected horizontally from a certain height, (h) then time of descent
is
\( ^{\mathrm{A}} t_{d}=\sqrt{\frac{2 h}{g}} \)
в. \( _{t_{d}}=\sqrt{\frac{h}{g}} \)
\( \mathbf{c} \cdot t_{d}=\sqrt{h g} \)
D. \( t_{d}=\sqrt{h+g} \)


What is the major fraction of high boiling fluorescent fraction of coal tar
that produces cancer?
A . 1,2-benzanthrcene
B. 3-methylcholanthracene
c. 1,2 -benzpyrene
D. 9,10-dimethyl-1,2-benzanthracene


If copper is kept open in air, it slowly loses its shining brown surface and gains a green coating. It is due to the formation of:
A \( \cdot C u C O_{3} \)
в. \( C u S O_{4} \)
c. \( C u C O_{3} \cdot C u(O H)_{2} \)
D. \( C u O \)


The correct set of quantum number for the unpaired electrons of chlorine atom is:
A \( \cdot_{3,1,1, \pm \frac{1}{2}} \)
в. \( _{2,1,-1,+\frac{1}{2}} \)
c. \( _{3,0,0, \pm} \frac{1}{2} \)
D. \( 2,0,0,+\frac{1}{2} \)


The selling price with VAT, on a cooking range is \( 19,610 . \) If the \( \mathrm{VAT} \) is \( 6 \%, \) what is the original price of the cooking range?


Draw diagram for a P-N junction to obtain reverse bias characteristic
curves. Explain the phenomenon of reverse breakdown for a P-N junction in reserve bias state by following
processes-
(i) Avalanche breakdown
(ii) Zener breakdown


Which of the following statements are true (T) and which are false(F):

The two altitudes corresponding to two equal sides of a triangle need not be equal.
A. True
B. False


What is a lighting conductor? How does
it protect?


A body of mass 5 kg falls from a height of 20 metres on the ground and it
rebounds to a height of 0.2 If the loss in Potential energy is used up by the body then what will be the temperature
rise? (specific heat of material = 0.09 \( \left.\operatorname{cal} \mathfrak{g m}^{-1 \circ} \boldsymbol{C}^{-1}\right) \)
\( \mathbf{A} \cdot 0^{\circ} C \)
B . \( 4^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 8^{\circ} C \)
D. None of these


If \( A \) exceeds \( B \) by \( 40 \%, B \) is less than \( C \) by \( 20 \%, \) then \( A: C \) is :
A .28: 25
B . 26: 25
c. 283: 251
D. 287: 254


The probability of an event \( k \) is
A \( .0 \geq P(k) \geq 1 \)
в. \( 0 \leq P(k) \leq 1 \)
c. \( 0>P(k)>1 \)
D. \( 0<P(k)<1 \)


Given :
Area of sector \( =15 \pi \) sq.cm
radius \( =\mathbf{6} c \boldsymbol{m} \)
To find :
Length of the arc corresponding to the
sector


\( \tan \left[2 \tan ^{-1}\left(\frac{\sqrt{1+x^{2}}-1}{x}\right)\right]= \)
\( A \cdot x \)
B. \( 2 x \)
c. \( x / 2 \)
D. \( 3 x \)


The horizontal and vertical components of the Earth's magnetic field at a place
are each equal to 0.35 gauss. Find the angle of dip at the places.


The number of real roots of the
equation \( (x-1)^{2}+(x-2)^{2}+(x- \)
\( \mathbf{3})^{2}=\mathbf{0} \) is :
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c .3 \)
D. None of these


Distance between an object and plane
mirror is \( 100 \mathrm{cm} \). Find the distance
between the object and its image.
\( \mathbf{A} \cdot 50 \mathrm{cm} \)
B. \( 100 \mathrm{cm} \)
c. \( 200 \mathrm{cm} \)
D. \( 300 c m \)
E . \( 400 \mathrm{cm} \)


Define connective tissue.


\( \mathbf{3} \quad \mathbf{5} \quad \mathbf{7} \quad \mathbf{9} \quad \mathbf{1 1} \) \( \boldsymbol{x}_{\boldsymbol{i}} \)
\( f_{i} \)
\( i \) \( 6 \quad 8 \quad 15 \quad 25 \quad 8 \) Find the Mean Deviation (M.D) about the
mean
\( \mathbf{A} \cdot 2.1 \)
B . 2.25
c. 2.09
D. 2.71


The comparatively high boiling point of hydrogen fluoride is due to:
A. high reactivity of fluorine
B. small size of hydrogen atom
c. formation of hydrogen bonds
D. small size of fluorine


The pH of a tomato juice is:
A .
B. 4
\( c \cdot 7 \)
D. 14


Reactor generates ............................ energy.


If \( \boldsymbol{x}=\mathbf{2}+\sqrt{\mathbf{3}}, \) Find \( \boldsymbol{x}^{2}+\frac{\mathbf{1}}{\boldsymbol{x}^{2}} ? \)


A body thrown vertically up reaches a maximum height of 50 m. Another body with double the mass thrown up with
double the initial velocity will reach a maximum height of :
A . \( 100 \mathrm{m} \)
B. 200 \( \mathrm{m} \)
c. \( 400 \mathrm{m} \)
D. 50 \( m \)


A cyclist free-wheels from the top of a hill, gathers speed going down the hill, apply his brakes and eventually came to rest at the bottom of the hill. Which one
of the following energy changes take place?
A. Potential to kinetic to heat energy
B. Kinetic to potential to heat energy
c. Chemical to heat to potential energy
D. Kinetic to heat to chemical energy


Find the area of the shaded region in
fig., if \( \boldsymbol{P} \boldsymbol{Q}=\mathbf{2 4 c m}, \boldsymbol{P R}=\mathbf{7 c m} \) and \( \boldsymbol{O} \) is
the centre of the circle.


What is the area of the region bounded
by the parabola \( \boldsymbol{y}^{2}=\mathbf{6}(\boldsymbol{x}-\mathbf{1}) \) and
\( \boldsymbol{y}^{2}=\mathbf{3} \boldsymbol{x} \)
A \( \cdot \frac{\sqrt{6}}{3} \)
в. \( \frac{2 \sqrt{6}}{3} \)
c. \( \frac{4 \sqrt{6}}{3} \)
D. \( \frac{5 \sqrt{6}}{3} \)


What is the maximum number of
rectangular components into which a vector can be split in it's own plane?
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D. Infinite


The contentment obtained after
drinking \( x- \) units of a new drink at a
trial function is given by the function
\( C(x)=2 x^{3}-x^{2}+7 x+2 . \) If the
marginal contentment is defined as rate of change of \( C \) with respect to the number of units consumed at an
instant, then find the marginal contentment when 4 units of drink are
consumed


Sucrose (cane sugar) is a disaccharide. One molecule of sucrose on hydrolysis gives:
A. 2 molecules of glucose
B. 2 molecules of glucose + 1 molecule of fructose
c. 1 molecule of glucose +1 molecule of fructose
D. 2 molecules of fructose


For a cell reaction involving two electron
changes, \( \boldsymbol{E}_{c e l l}^{0}=\mathbf{0 . 3} \boldsymbol{V} \) at \( \mathbf{2 5}^{\circ} \boldsymbol{C} \). The
equilibrium constant of the reaction is:
\( \mathbf{A} \cdot 10^{-10} \)
В. \( 3 \times 10^{-2} \)
c. 10
D. \( 10^{10} \)


What is the monomer unit for polyvinyl
chloride?
\( A \)
в.
\( c \)
D.


Fluorine does not show variable
oxidation states because
A. it is a halogen
B. of absence of d-orbitals
c. absence of s-orbital
D. absence of p-orbitals


Complete and balance the folloing
equations:
(a) \( C+H_{2} S O_{4}(\text { conc. }) \longrightarrow \)
(b) \( X e F_{2}+P F_{5} \longrightarrow \)


State one important use of a Zener diode.


Select the correct labeling for the given
diagram:
A. a- notochord, b- mouth, c- gill slit, d- neural tube, enotochord
B. a- gills slits, b- anus, c-mouth, d-neural tube, e notochord
C. a- gill slits, b- mouth, c- anus, d- neural tube, enotochord
D. a- gill slits, b- mouth, c- anus, d- notochord, e- neural tube


The maximum number of electrons that
can be present in an orbital with \( s= \)
\( +1 / 2 \) and \( l=2 \)
\( A \cdot 1 \)
B. 2
\( c \cdot 3 \)
D. 4


What is the correct formula for calcium
chloride?
A. \( C a_{2} C l_{2} \)
B. \( C a C l \)
c. \( \operatorname{caCl}_{2} \)
D. \( C a C l_{3} \)
E \( . C a_{2} C l \)


Which of the following is not electron
deficient ?
A \( . N H_{3} \)
в. \( B F_{3} \)
c. \( A l C l_{3} \)
D. \( B H_{3} \)


The relation connecting the measures
of central tendencies is :
A. mode \( =2 \) median -3 mean
B. mode \( =3 \)median -2 mean
c. mode\( =2 \)median+3 mean
D. mode \( =3 \)median+2 mean


In a series LCR circuit, what is the
phase difference between \( V_{L} \) and \( V_{C} \)
where \( V_{L} \) is the potential difference
across the inductor and \( V_{C} \) is the potential difference across the capacitor?


Calculate moment of inertia of a ring of mass 500 g and radius \( 0.5 \mathrm{m} \) about an axis of rotation coinciding with its diameter and tangent perpendicular to its plane.


An electric component manufactured by 'RASU Electronics' is tested for its defectiveness by a sophisticated testing device. Let \( A \) denote the event
"the device is defective" and \( B \) the
event "the testing device reveals the
component to be defective". Suppose \( \boldsymbol{P}(\boldsymbol{A})=\boldsymbol{\alpha} \) and \( \boldsymbol{P}(\boldsymbol{B} \mid \boldsymbol{A})=\boldsymbol{P}\left(\boldsymbol{B}^{\prime} \mid \boldsymbol{A}^{\prime}\right)= \)
\( \mathbf{1}-\boldsymbol{\alpha}, \) where \( \mathbf{0}<\boldsymbol{\alpha}<\mathbf{1}, \) then
This question has multiple correct options
\( \mathbf{A} \cdot P(B)=2 \alpha(1-\alpha) \)
B . \( P\left(A \mid B^{\prime}\right)=1 / 2 \)
C \( \cdot P\left(B^{\prime}\right)=(1-\alpha)^{2} \)
D \( \cdot P\left(A^{\prime} \mid B^{\prime}\right)=[\alpha /(1-\alpha)]^{2} \)


Which of the following cannot
decompose on heating to give \( C O_{2} ? \)
A \( \cdot L i_{2} C O_{3} \)
в. \( N a_{2} C O_{3} \)
\( \mathbf{c} \cdot K H C O_{3} \)
D. \( B a C O_{3} \)


\( (\sin \theta-\sec \theta)^{2}+(\cos \theta-\operatorname{cosec} \theta)^{2}= \)
\( (1-\sec \theta \cdot \operatorname{cosec} \theta)^{2} \)


Find the number of \( C-H \) bonds in ethane
molecule.
A. Four
B. Six
c. Eight
D. Ten


One ampere of current is passed for
9650 seconds through molten \( A l C l_{3} \)
What is the weight in grams of \( \boldsymbol{A l} \) deposited at cathode? (Atomic weight of \( A l=27 \) )
A . 0.9
в. 9.
c. 0.09
D. 90.0


Mass of glucose in \( g \) must be present in
0.5 litre of a solution for its osmotic
pressure be same as that of 8 g glucose in 1 litre is :


In the system shown in figure \( \boldsymbol{m}_{\boldsymbol{A}}= \)
\( 4 m, m_{B}=3 m \) and \( m_{C}=8 m . \) Friction
is absent everywhere. String is light and in-extensible. If the system is released
from rest find the acceleration of block
\( B \)
A . \( \frac{g}{\text { (leftward) }} \)
B. \( \frac{g}{2} \) (leftward)
C \( \cdot \frac{g}{6} \) (rightward)
D. \( \frac{g}{4} \) (rightward)


Scientist who gave the name Periplaneta is
A. Linneous
B. K. N. Bahel
c. Burmeister
D. Darwin


Prove that \( \left|\begin{array}{lll}\boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c} & \boldsymbol{a} \\ \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a} & \boldsymbol{b}\end{array}\right|=\mathbf{3} \boldsymbol{a} \boldsymbol{b} \boldsymbol{c}-\boldsymbol{1} \)
\( \boldsymbol{a}^{3}-\boldsymbol{b}^{3}-\boldsymbol{c}^{3} \)


A small ball is connected to a block by a light string of length \( l \). Both are initially on the ground. There is sufficient
friction on the ground to prevent the
block from slipping. The ball is
projected vertically up with a velocity \( u \)
where \( 2 g l<u^{2}<3 g l . \) The centre of
mass of the 'block+ball' system is \( C: \)
This question has multiple correct options
A. \( C \) will move along a circle
B. \( C \) will move along a parabola
c. \( C \) will move along a straight line
D. The horizontal component of the velocity of the ball will first increase and then decrease


A material has Poisson's ratio \( 0.50 . \) If a
uniform rod of it suffers a longitudinal
strain of \( 2 \times 10^{-3}, \) then the percentage
change in volume is
A . 0.6
B. 0.4
\( c .0 .2 \)
D. zero


In Lathyrus aphasic, the leaves are modified into
A. Spine
B. Tendril
c. Scale
D. Stern-like structure


By undergoing what process, chemical fuel releases its energy?
A. Reduction
B. Oxidation
c. Electrolysis
D. Redox reaction


A \( 20 \mathrm{kg} \) box is on the floor of a truck. The coefficient of static friction
between the box and the truck floor is
0.3 and the coefficient of sliding friction is 0.2. The magnitude and direction of the frictional force acting on the box when the truck is accelerating at \( 2 m s^{-2} \) is:
A. \( 100 \mathrm{N} \) backward
B. 100 N forward
c. \( 60 \mathrm{N} \) forward
D. 60 N backward


If \( \boldsymbol{m} \tan \left(\boldsymbol{\theta}-\mathbf{3 0}^{\circ}\right)=\boldsymbol{n} \tan \left(\boldsymbol{\theta}+\mathbf{1 2 0}^{\circ}\right) \)
then \( \frac{m-n}{m+n} \) is equal to
A \( .2 \cos 2 \theta \)
B. \( 2 \sin ^{2} \theta \)
c. \( 1 /(8 \cos 2 \theta) \)
D. \( 1 /(8 \sin 2 \theta) \)


With reference to external features of
Cockroach, which among the following statement is not correct
A. It has pulvillus between claws
B. Hind wings are protective and are not useful in flight
c. Fore wings are elytra
D. Gonapophyses help in copulation


Which one is correctly matched with its specificity for an amino acid, start or stop in protein synthesis?
A. UCG - Start
B. UUU - Stop
c. UGU - Leucine
D. UAC - Tyrosine


Which of the following assumptions is
incorrect according to kinetic theory of
gases?
A. Particles of a gas move in all possible directions in straight lines
B. All the particles, at any particular time, have same speed and same kinetic energy
C. There is no force of attraction between the particles of a gas at ordinary temperature and pressure
D. The actual volume of the gas is negligible in comparison to the empty space between them


Which of the following statement
related to stress-strain relation is
correct?
A. Stress is linearly proportional to strain irrespective of the magnitude of the strain
B. Stress is linearly proportional to strain above
C. Stress is linearly proportional to strain for stress much smaller than at the yield point
D. Stress-strain curve is same for all materials
E. Stress is inversely proportional to strain


Write the name of the metal whose ore
is siderite.


The incomplete breakdown of sugars in anaerobic respiration forms
A. Fructose and water.
B. Glucose and \( C O_{2} \)
c. Alcohol and \( C O_{2} \)
D. water and \( C O_{2} \).


abelling from the options given.
A. A- Testis, B- Spermatheca, C- Seminal vesicle, D- Ovary
E- Vas deferens, F- Accessory gland
B. A- Spermatheca, B- Testis, C- Ovary, D- Oviduct, E- Vas deferens, F- Accessory gland
C. A- Spermatheca, B- Testis, C- Seminal vesicle, D- Ovary
E- Vas deferens, F- Accessory gland
D. A- Spermatheca, B- Testis, C- Accessory gland, DOvary, E- Vas deferens, F- Seminal vesicle
E. A- Spermatheca, B- Ovary, C- Seminal vesicle, D- Testis
E- - vas deferens, F- Accessory gland


Stability of Iyophilic colloids is due to
A. Same charge on all the colloidal particles
B. Solvation of the colloidal particles
C. The fact that they are organic substances
D. Both (A) and (B)


Rajnikant has 12 sketch pens and 8 fountain pens. He gave two of the pens
to his brother. Find the probabilities of the following events using tree diagram
i) Both the pens are sketch pens.
ii) Only one is a sketch pen
iii) Neither of them are sketch pens.


The property that we use for classifying
things depends on the
of the classification.
A. grouping
B. purpose
c. information
D. system


Consider the function: \( f(-\infty, \infty) \rightarrow \)
\( (-\infty, \infty) \) defined by \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \frac{x^{2}-a x+1}{x^{2}+a x+1}, 0<a<2 \)
Which of the following is true?
A. \( f(x) \) is decreasing on (-1,1) and has a local minimum at \( x=1 \)
B. \( f(x) \) is increasing on (-1,1) and has a local maximum at \( x=1 \)
C. \( f(x) \) is increasing on (-1,1) and has neither a local maximum nor a local minimum at \( x=-1 \)
D. \( f(x) \) is decreasing on (-1,1) and has neither a local maximum nor a local minimum at \( x=1 \)


The autonomic nervous system has
control over
A. Reflex action
B. Skeletal muscles
c. sense organs
D. Internal organs


In Young's double slit expt. the distance between two sources is \( 0.1 \mathrm{mm} \). The
distance of the screen from th source is
20 cm. Wavelength of light used is 5460
A. The angular position of the first dark fringe is
A \( \cdot 0.08^{\circ} \)
B. \( 0.16^{\circ} \)
\( c \cdot 0.20^{\circ} \)
D. \( 0.32^{\circ} \)


Express \( \frac{2}{5} \) as percentage.


DNA is associated with basic protein
A. Albumin
B. Non-histone
c. Histone
D. Both A and C


The pair of trihalides of group 15 elements which are not readily
hydrolysed are
A. \( N F_{3} \) and \( N C l_{3} \)
B. \( N F_{3} \) and \( P F_{3} \)
c. \( P C l_{3} \) and \( P F_{3} \)
D. \( N F_{3} \) and \( P C l_{3} \)


Which fuel has the highest energy content per unit of mass of any chemical fuel?
A. Petrol
B. Hydrogen
c. Uranium
D. coal


A mixture of \( N a O H \) and \( M g(O H)_{2} \)
weights 2.325 g. It requires 3 g of \( H_{2} S O_{4} \) for its neutralization. What is
the percentage composition of mixture?


The reading of ammeter is \( x \) amperes
and that of voltmeter is 20 volts shown
in the figure. Then \( x \) is:
\( A \cdot 4 \)
\( B \)
\( c \cdot 8 \)
\( D \)


From a lot of 30 bulbs which include 6
defectives, a sample of 2 bulbs are drawn at random with replacement.
Find the probability distribution of the number of defective bulbs.


When 1 mole of a substance is present
in 1 L of the solution, it is known as:
A. normal solution
B. molar solution
c. molal solution
D. None of the above


Write a vector in the direction of the vector \( \hat{\boldsymbol{i}}-\boldsymbol{2} \hat{\boldsymbol{j}}+2 \hat{\boldsymbol{k}} \) that has magnitude
9 units.


Seedless fruits can be obtained by treating a plant with
A. Enzyme
B. Auxin
c. Vitamin
D. \( 70^{\circ} \mathrm{C} \) and light


\( r, s, t \) are respectively :
\( \mathbf{A} \cdot C O_{2}, H C l, A l C l_{3} \)
в. \( \operatorname{Me} O H / \stackrel{\oplus}{H}, H C N / H C l, H_{3} O^{\oplus} \)
\( \mathrm{c} \cdot \mathrm{CH}_{3} \mathrm{Cl} / \mathrm{AlCl}_{3}, \mathrm{CrO}_{2} \mathrm{Cl}_{2}, \mathrm{H} \)
\( \mathrm{D} \cdot \mathrm{NO}_{2}^{+}, \operatorname{Sn} / \mathrm{HCl}, \mathrm{CuCN} \)


Order from least to greatest:
\( \frac{\frac{3}{5}}{\frac{8}{10}}, \frac{0.00751}{0.01}, \frac{200}{3} \times 10^{-2} \)
A \( \cdot \frac{0.00751}{0.01}<\frac{3}{10}<\frac{200}{3} \times 10^{-2} \)
В. \( \frac{0.00751}{0.01}<\frac{200}{3} \times 10^{-2}<\frac{3}{10} \)
с. \( \frac{200}{3} \times 10^{-2}<\frac{\frac{3}{5}}{\frac{8}{10}}<\frac{0.00751}{0.01} \)
D. \( -\frac{0.00751}{0.01}<\frac{200}{3} \times 10^{-2} \)
\( \frac{\frac{8}{10}}{0} \)


\( O H^{-} \) lon concentration in a acidic
buffer solution is:
\( ^{\text {A } \cdot} \frac{K w[A]}{K a[S]} \)
в. \( \frac{K a[A]}{K w[S]} \)
c. \( \frac{K w[S]}{K a[A]} \)
D. \( \frac{K a[S]}{K w[A]} \)


B.0.D values of four samples of water \( A \)
\( \mathrm{B} \mathrm{C} \) and \( \mathrm{D} \) are given below
A. 160 ppm
B. 35 ppm
C. 180 ppm
D. 25 ppm The decreasing order of extent of pollution in water is ?
\( A \cdot C>A>D>B \)
B. \( D>B>A>C \)
\( c \cdot c>A>B>D \)
D. D >A > B > C


Bells are made of metal and not of wood
because
This question has multiple correct options
A. Metals are elastic than wood
B. The density of the metal is greater than that of wood
C. The sound is not conducted by metals but is radiated
D. Wood dampens vibrations faster


The number of cyclic structural isomers
of \( C_{5} H_{10} \) are:
A . 4
B. 5
\( c \cdot 6 \)
D.


A gas undergoes physical adsorption on a surface and follows the given
Freundlich adsorption isotherm equation: \( \frac{x}{m}=k p^{0.5} \)
Adsorption of the gas increases with:
A. decrease in p and decrease in \( T \)
B. increase in p and increase in \( T \)
c. increase in p and decrease in \( T \)
D. decrease in p and increase in \( T \)


Three charges \( 4 q, Q \) and \( q \) are in straight line in the position o, \( 1 / 2 \) and I respectively the resultant force on q will be
A.
B.
\( c \cdot-1 \)
D. 0.5


Solve \( : \log _{\frac{x^{2}-6 x}{10}}(\sin 3 x+\sin x)= \)
\( \log _{\frac{x^{2}-6 x}{10}}(\sin 2 x) \)
A. \( _{x=\frac{5 \pi}{3}} \)
в. \( x=-\frac{5 \pi}{3} \)
c. \( x=-\frac{2 \pi}{3} \)
D. \( x=-\frac{4 \pi}{3} \)


Two weak acids \( H A \) and \( H B \) have
same \( p H \) when their concentration
ratio is \( 3: 1 . \) The ratio of the
dissociation constants of \( H B \) and \( H A \)
is


A \( 3 h p \) motors requires \( 2.4 k w \) to drive it;
its efficiency is about:
A . \( 90 \% \)
B. 75\%
c. \( 60 \% \)
D. 50\%


The process of extraction of metal from
its ores, is known as:
A. concentration
B. calcination
c. purification
D. metallurgy


Reduction of the metal centre in
aqueous permanganate ion involves:
This question has multiple correct options
A. 3 electrons in neutral medium
B. 5 electrons in neutral medium
c. 1 electron in alkaline medium
D. 5 electrons in acidic medium


negligible mass rests on a horizontal
plane as known. The diameter of the
base is \( a \) and the side of the cylinder
makes an angle \( \theta \) with the horizontal.
Water is then slowly poured into the
cylinder. The cylinder topples over when
the water reaches a certain height \( h \)
given by.
A \( . h=2 a \tan \theta \)
B \( \cdot h=a \tan ^{2} \theta \)
\( \mathbf{c} \cdot h=a \tan \theta \)
D. \( h=\frac{a}{2} \tan \theta \)


If the straight lines \( \frac{y}{2}=x-p \) and \( \boldsymbol{a} \boldsymbol{x}+\mathbf{5}=\boldsymbol{3} \boldsymbol{y} \) are parallel, then find \( \boldsymbol{a} \)


The double helix model for DNA was
proposed by ............ and


Which of the following is correct about
symplast?
A. Living continuum
B. Cell wall and intercellular space
c. Non-Living continuum
D. None of these


A wire with an area of cross-section as
\( 10 m m^{2} \) has a resistance of \( 5 \Omega, \) when a
potential difference across its ends is
\( 25 V . \) Calculate the drift velocity of electrons. Given the number density of
electrons as \( 5 \times 10^{20} \) electrons per
cubic meter \( \left(e / m^{-3}\right) \)


Express 32844 as a product of prime factors


Compare \( L i \) and \( B e \) according to their
\( (\boldsymbol{I} \boldsymbol{E})_{2}: \)
\( \mathbf{A} \cdot L i>B e \)
В. \( L i<B e \)
\( \mathbf{c} \cdot L i=B e \)
D. None of these


\( \boldsymbol{R}_{1}= \)
\( \{(\boldsymbol{a}, \boldsymbol{a}),(\boldsymbol{a}, \boldsymbol{b}),(\boldsymbol{a}, \boldsymbol{c}),(\boldsymbol{b}, \boldsymbol{c}),(\boldsymbol{c}, \boldsymbol{a}),(\boldsymbol{b}, \boldsymbol{b}) \)


Anthracene is purified by?
A. Filtration
B. Distillation
C . Crystallisation
D. Sublimation


Get the area of \( \triangle A B C \) for
\( \boldsymbol{A}(\mathbf{1}, \mathbf{1}, \mathbf{2}), \boldsymbol{B}(\mathbf{2}, \mathbf{3}, \mathbf{5}), \boldsymbol{C}(\mathbf{1}, \mathbf{3}, \mathbf{4}) \) by use of
vectors.


Which of the following graphs
represents an exothermic reaction?
\( \mathbf{A} \)
B.
\( \mathbf{c} \)
D.


In which one of the following preparations are you likely to come across cell junctions most frequently?
A. Hyaline cartilage
B. Epithelium
c. Thrombocytes
D. Tendon


If \( \boldsymbol{P}=(8,6) \) and \( \mathrm{R} \) is the rotation
through \( 90^{\circ} \) about \( 0, \) then \( R_{-90} O(P) \) is
A. (6,-8)
()
в. (-8,-6)
\( c \cdot(8,6) \)
D. (-8,6)


A sphere of radius \( r \) is charged to a
potential \( V . \) The outward pull per unit area of its surface is given by:
A \( \cdot \frac{4 \pi \epsilon_{0} V^{2}}{r^{2}} \)
в. \( \frac{\epsilon_{0} V^{2}}{r^{2}} \)
c. \( \frac{2 \pi \epsilon_{0} V^{2}}{r^{2}} \)
D. \( \frac{\epsilon_{0} V^{2}}{4 r^{2}} \)


State Brewster's law.
Find Brewster's angle for a transparent liquid having refractive index 1.5


Heterogamety or formation of two types of gametes is found in.
A. Male Drosophila
B. Female bird
c. Female Drosophila
D. Both A and B


What is the ratio of the total sales
of branch \( B_{2} \) for both years to the
total sales of branch \( B_{4} \) for both years?
\( A .2: 3 \)
\( B .3: 5 \)
\( \mathbf{C} \cdot 4: 5 \)
D. 7: 9


Covalent compounds are generally soluble in:
A. non-polar solvents
B. polar solvents
c. both A and B
D. none of the above


Ten identical batteries each of emf 2 V
are connected in series to a \( 8 \Omega \) resistor.
If the current in the circuit is 2 A, then
the internal resistance of each battery is
A . \( 0.2 \Omega \)
В. \( 0.3 \Omega \)
\( c .0 .4 \Omega \)
D. \( 0.5 \Omega \)
E . \( 1 \Omega \)


A piece of iron of mass \( 2.0 \mathrm{kg} \) has a
thermal capacity of \( 966 J K^{-1} \). Find its
specific heat capacity in S.I. unit :
A \( \cdot 483 J k g^{-1} K^{-1} \)
B. \( 966 J k g^{-1} K^{-1} \)
C \( .4 .83 \mathrm{Jkg}^{-1} \mathrm{K}^{-1} \)
D. None of the above


cost of \( \operatorname{Sugar}\left(C_{12} H_{22} O_{11}\right) \) is Rs. 40 per
kg. Calculate its cost per mole.


Write Nearst equation and explain the
terms involved in it. What part of the
equation represent the correction factor for nonstandard state conditions?


Mark the correct option
A. A force can make stationary object move.
B. A force can stop a moving object
C. A force can increase the speed of a moving object
D. All


n \( \triangle A B C \),right angled at \( B, A B+ \) \( \boldsymbol{A C}=\mathbf{9} \) cm and \( \boldsymbol{B C}=\mathbf{3} \boldsymbol{c m} \)
The value of \( \sec C \) is
\( A \cdot \frac{4}{3} \)
B.
\( c \cdot \frac{1}{3} \)
D. none


\( \int(x+2) \sqrt{3 x+5} d x \)


The value of cell constant \( \left(\text { in } m^{-1} \) ) is: \right.
write your answer to nearest integer)


Energy associated with an orbit as its distance increases from the
nucleus.
A. increases
B. decreases
c. no relation
D. may increase or decrease depending on distance from the nearest orbit


Force between the two parallel wires
carrying currents has been used to
define
A. ampere
B. coulomb
c. volt
D. watt


The wave length of an electron wave is inversely proportional to and
A. mass, density
B. mass, velocity
c. mass, frequency
D. none of these


The correct structure of \( \boldsymbol{P C l}_{3} \boldsymbol{B r}_{2} \) is:
\( A \)
в.
\( c \)
D. both B and C


\( C_{4} H_{9} C l \frac{N a}{_{\text {ether}}} A \)
\( \boldsymbol{A} \frac{\text {alcoholic}}{\boldsymbol{K O H}} \boldsymbol{B} \)
Identify the compound B.
A. 1-butene
B. cis but-2-ene
c. isobutene
D. trans but-2-ene


A series LCR circuit is connected to an
ac source. Using the phasor diagram, derive the expression for the impedance
of the circuit. Plot a graph to show the
variation of current with frequency of the source, explaining the nature of its variation.


In a group from top to bottom, ionisation energy
A. increases
B. decreases
c. remains same
D. none of these


Define :
a) ecosystem services
b) sere
c) BOD


Duma's method can be applied for estimation of nitrogen in all nitrogenous organic compounds.
A. True
B. False


What is selective breeding?
A. Breeding sheep with special charaters
B. Breeding sheep with normal character
C. Breeding sheep with any character
D. None of these


If \( 4 \times 10^{20} e V \) is required to move a
charge of \( 0.25 C \) between two points, the potential difference between these
two points is:
\( \mathbf{A} \cdot 256 V \)
в. \( \frac{1}{256} V \)
\( \mathbf{c} \cdot 256 \times 10^{+19} V \)
D. \( 250 V \)


When \( 1.0 g \) of oxalic acid \( \left(H_{2} C_{2} O_{4}\right) \) is
burned in a bomb calorimeter whose
heat capacity is \( 8.75 k J / K \), the
temperature increases by \( 0.312 K . \) The enthalpy of combustion of oxalic acid at
\( \mathbf{2 7}^{\circ} \boldsymbol{C} \) is :
\( \boldsymbol{H}_{2} \boldsymbol{C}_{2} \boldsymbol{O}_{4}(\boldsymbol{l})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l})+ \)
\( 2 C O_{2}(g) \)
A . \( -245.7 k J / \) mol
B . \( -244.452 k J / \) mol
c. \( -246.947 k J / \) mol
D. none of these


Erythroblastosis foetalis is also called
as
A. sickle cell anaemia
B. Bleeder's disease
C. Haemolytic disease of new born
D. Malaria


A sky laboratory of mass \( 2 \times 10^{3} K g \)
is raised from a circular orbit of radius
\( 2 \mathrm{R} \) to a circular orbit of radius \( 3 \mathrm{R} \). The
work done is (approximately):
\( \mathbf{A} \cdot 10^{16} J \)
В. \( 2 \times 10^{10} J \)
\( \mathbf{c} \cdot 10^{6} J \)
D. \( 3 \times 10^{10} J \)


Based on the figure above, identify the correct statement(s) from the following
This question has multiple correct options
A. At sealevel, the mercury inside the tube stands upto \( 76 \mathrm{cm} \)
B. The pressure exerted inside a liquid is same at all points along the horizontal plane
c. The vertical height of the liquid column is independent of the shape and size of the tube
D. The height of barometric liquid column is independent of nature of liquid used


ADH takes part in
A. Reabsorption of \( N a^{+} \)
B. Reabsorption of watera
C. Tabular secretion of creatinine
D. Tubular secretion of urea


Based on this observation, state the
conclusion which can be drawn about
the constituents of white light.


Find the tension in the string
\( A \cdot \frac{M g}{3} \)
в. \( \frac{M g}{4} \)
с. \( M g \)
\( D \cdot \frac{M g}{2} \)


The difference between the measured
value and true value is :
A. Precision
B. Accuracy
c. Error
D. Least count


Emphysema is a
A. Cardiovascular disease
B. Pulmonary disease
C. Neural disease
D. Renal disease


Two batteries of emf \( 4 \mathrm{V} \) and \( 8 \mathrm{V} \) with
internal resistance \( 1 \Omega \) and \( 2 \Omega \)
respectively are connected to an
external resistance \( \mathrm{R}=9 \Omega \) as shown in
figure. The current in circuit and the
potential difference between \( \mathrm{P} \) and \( \mathrm{Q} \) respectively will be
A \( \cdot \frac{1}{2} A, 9 V \)
B \( \cdot \frac{1}{12} A, 12 V \)
c. \( \frac{1}{3} A, 3 V \)
D. \( \frac{1}{6} A, 4 V \)


A rigid massless rod of length 3 l has two masses attached art each end as
shown in the figure. The rod is pivoted at point \( P \) on the horizontal position, its instantaneous angular acceleration will
be:
A \( \cdot \frac{g}{2 l} \)
в. \( \frac{7 g}{3 l} \)
c. \( \frac{g}{13 l} \)
D. \( \frac{g}{3 l} \)


The vapour pressure of o-nitrophenol at any given temperature is predicted to be:
A. Higher than that of p-nitrophenol
B. Lower than that of p-nitropheno
c. Same as that of p-nitrophenol
D. Higher or lower depending upon the size of the vesse


In the diagram shown, a light ray is incident on the lower medium boundary
at an angle if \( 45^{\circ} \) with the normal.
Which of the following statements is
are true?
'his question has multiple correct options
A \( \cdot \) If \( \mu_{2} / \sqrt{2} \), then angle of deviation is 45
B. If \( \mu_{2} / \sqrt{2} \), then angle of deviation is \( 90^{\circ} \)
\( \mathrm{C} \cdot \) If \( \mu_{2} / \sqrt{2}, \) then angle of deviation is \( 135^{\circ} \)
D. If \( \mu_{2} / \sqrt{2} \), then angle of deviation is 0


What is the apparent oxidation state of
\( C \) element in the compound \( C O_{2} ? \)
\( A \cdot+2 \)
B. - 2
\( c \cdot+4 \)
D. -
\( \mathrm{E} \cdot+5 \)


A gymnast takes turns with her arms \( \& \)
legs stretched. When she pulls her arms
\& legs in
A. The angular velocity decreases
B. The moment of inertia decreases
c. The angular velocity stays constant
D. The angular momentum increases


Find the value of \( \cot \left(\tan ^{-1} a+\cot ^{-1} a\right) \)


\( M n^{+2} \rightarrow M n O_{4}^{-} \) Suggest suitable
reagent?
A . acidic hydrogen peroxide
B. Acidic Pbo \( _{2} \)
\( \mathbf{c} \cdot N a B i O_{3} \)
D. \( K_{2} C r O 7 \)


n Fig. \( A B \) and \( C D \) are common tangents
to two circles of unequal radii then \( A B \)
is not equal to \( \mathrm{CD} \)
A. True
3. Falss


Calculate the molarity and molality of \( 20 \% \) aqueous ethanol \( \left(C_{2} H_{5} O H\right) \)
solution by volume. (Density of solution \( =0.96 \mathrm{g} / \mathrm{mL}) \)
A. Molarity \( =3.48 \), Molality \( =4.35 \)
B. Molarity = 4.35, Molality = 3.48
C. Molarity \( =4.48 \), Molality \( =3.35 \)
D. None of the above


At what temperature in degree
Kelvin the Fahrenheit and Kelvin scales
of temperature give the same reading?


The following events occur during the various phase of the cell cycle. Fill the blanks with suitable answer against
each.
(a)Disintegration of nuclear membrane
(b) Appearance of nucleolus
(c) Division of centromere
(d) Replication of DNA


Velocity of sound is maximum among which of the following substances?
A. Iron
B. Mercury
c. water
D. Air


Which of the following is/are
constituents of cement??
A. \( \operatorname{si} O_{2} \)
в. \( A l_{2} O_{3} \)
\( \mathrm{c} \cdot \mathrm{CaSO}_{4} \)
D. All of the above


What is atmosphere? Write about its
different layers.


Predict the structure of the following and indicate whether the bond angles are likely to be dissorted from the
theoretical values:
\( \boldsymbol{I} \boldsymbol{F}_{5} \)


A chain \( A B \) of mass \( m \) and length \( L \) is
hanging on a smooth horizontal table as shown in the figure. If it is released from
the position shown then the displacement of centre of mass of chain
in magnitude, when end \( A \) moves a
distance \( \frac{L}{2} i s X \sqrt{2} m \)
Find \( \boldsymbol{X} .(\boldsymbol{L}=\mathbf{3} 2 \boldsymbol{m}) \)
A \( \cdot \frac{m g l}{4} \)
в. \( \frac{m g}{8} \)
c. \( \frac{m g}{24} \)
D. \( \frac{m g}{32} \)


Distinguish between 'paramagnetic' and 'ferromagnetic' substances.


A point on the parabola \( y^{2}=18 x \) at
which the ordinate increases at twice
the rate of the abscissa is
в. (2,-4)
\( ^{\mathrm{c}} \cdot\left(-\frac{9}{8}, \frac{9}{2}\right) \)
D \( \cdot\left(\frac{9}{8}, \frac{9}{2}\right) \)


If the coil in a simple generator is wound around a soft iron core then:
A. strength of magnetic field increases.
B. current produced will be increased.
c. voltage produced will be increased.
D. all


Find \( \angle A \) in \( \triangle A B C \) in which \( \angle B= \)
\( \mathbf{6 0}, \angle \boldsymbol{C}=\mathbf{4 5}^{\mathbf{0}} \)


The solubility of \( A l(O H)_{3} \) is
\( S^{\prime} g \) mol \( L^{-1} . \) Its solubility product is:
\( A \cdot S^{2} \)
B . \( S^{3} \)
\( c \cdot 27 S^{4} \)
D. \( 27 S^{3} \)


The two polynucleotide chain in DNA
are:
A. Semiconservative
B. Parallel
c. Discontinuous
D. Antiparallel


Aftab tells his daughter, "Seven years ago, I was seven times as old as you were then. Also, three years from now, shall be three times as old as you will be." Is not this interesting? Represent this situation algebraically.


Solve for \( \boldsymbol{x}:-\boldsymbol{a} \boldsymbol{r} \sin \frac{\boldsymbol{5}}{\boldsymbol{x}}+\boldsymbol{a r c} \sin \frac{\boldsymbol{1} \boldsymbol{2}}{\boldsymbol{x}}= \)
\( \frac{\pi}{2} \)


Write the essential function performed by the ozone layer.


An LC circuit initially oscillates with frequency 'f' and the maximum current
in the circuit is \( i_{\max } . \) If the total energy
of the circuit is increased to twice of its
initial value, then
This question has multiple correct options
A. the period of oscillation will become double its initial value
B. the maximum charge on the capacitor will become \( \sqrt{2} \) times its initial value
C. the maximum current that will appear in the circuit will be \( \sqrt{2} \) times its initial value \( i_{\max } \)
D. at the moment energy stored in capacitor and inductor becomes equal, the charge on the capacitor will be equal to the initial maximum charge on it.


Shape of \( N H_{3} \) is very similar to:
This question has multiple correct options
A \( \cdot \operatorname{Se} O_{3}^{2-} \)
B. \( C H_{3}^{-} \)
\( \mathbf{c} . B H_{3} \)
D. \( C H_{3}^{+} \)


A light ray travels from optically denser medium to optically rarer medium, if the angle of incidence and refraction at
point of incidence are \( \angle i \) and \( \angle \boldsymbol{r} \)
respectively, then find the angle of deviation in terms of \( \angle i \) and \( \angle r \)
A. \( \angle i+\angle r \)
B. \( \frac{L}{L r} \)
c. \( \angle i-\angle r \)
D. \( \angle r-\angle i \)


The dark bands (Black bands) \( (A- \)
bands) of a skeletal
muscle are known as
A. Isotropic bands
B. Anisotropic bands
c. Intercalated disc
D. cross bridges


When acidified \( K_{2} C r_{2} O_{7} \) solution is
added to \( S n^{2+} \) salts, then \( S n^{2+} \) changes
to:
\( A \cdot S n \)
в. \( S n^{3} \)
\( c \cdot s n^{4} \)
D. \( S n^{+} \)


State True or False:
The electron density in \( x y \) -plane of
\( 3 d_{x^{2}-y^{2}} \) orbital is zero.
A. True
B. False


A proton moving with a constant velocity passes through a region of space with out change in its velocity. If \( \mathrm{E} \) and \( \mathrm{B} \) represent the electric and magnetic fields respectively, this region
may have
A. \( E=0, B \neq 0 \)
B. \( E \neq 0, B=0 \)
c. \( E \) and \( B \) both parallel \( \$ \$ \)
D. \( E \) and \( B \) inclined at \( 45^{\circ} \) angle


Which of the following compound of Xenon has pyramidal geometry?
A. \( X e O F_{4} \)
в. \( X e F_{2} \)
c. \( x e O_{3} \)
D. \( X e F_{4} \)


The following two redox reactions are
given:
¡) \( M n O_{4}^{-}+8 H^{+}+5 e^{-} \rightarrow M n^{2+}+ \)
\( \mathbf{4} \boldsymbol{H}_{2} \boldsymbol{O} ; \boldsymbol{E}^{\boldsymbol{o}}=\boldsymbol{X}_{\mathbf{1}} \boldsymbol{V} \)
ii) \( \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{2}+\boldsymbol{4} \boldsymbol{H}^{+}+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \boldsymbol{M} \boldsymbol{n}^{2+}+ \)
\( \mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O} ; \boldsymbol{E}^{o}=\boldsymbol{X}_{2} \boldsymbol{V} \)
Find \( E^{o} \) for the following reaction.
\( M n O_{4}^{-}+4 H^{+}+3 e^{-} \rightarrow M n O_{2}+ \)
\( 2 H_{2} O \)
A. \( X_{2}-X_{1} \)
В. \( X_{1}-X_{2} \)
c. \( \frac{5 X_{1}-2 X_{2}}{3} \)
D. \( \frac{2 X_{1}-5 X_{2}}{3} \)


Assertion
During change of state specific heat of the substance zero.
Reason
Specific heat of a substance is directly proportional to change of heat and inversely proportional to change in temperature
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


Which of the following statements is
false for a perfect conductor?
A. The surface of the conductor is an equipotential surface.
B. The electric field just outside the surface of a conductor is perpendicular to the surface.
C. The charge carried by a conductor is always uniformly distributed over the surface of the conductor
D. None of these


A parallel plates capacitor is located horizontally such that one of the plates is submerged in a liquid while the other is above the liquid surface. When plates are charged the level of liquid
A . rises
B. falls
c. remains unchanged
D. may rise or fall depending on the amount of charge


A windmill is pushed by four external
forces as shown. Calculate force \( F \)
required to make to windmill stand still.
\( A \cdot-2 N \)
B. - -4 N
\( c \cdot-6 N \)
D . -16 N


A chemical process in which a substance reacts with oxygen to give off heat is called as:
A. endothermic
B. combustion
c. reduction
D. none of the above


\( \boldsymbol{R}-\boldsymbol{X}+\boldsymbol{M} \boldsymbol{g} \stackrel{\mathbf{H}_{2} \mathbf{O}}{\longrightarrow} \)


\( \int \frac{x^{4}}{(x-1)\left(x^{2}+1\right)} d x \) (Assuming all
conditions for the domain to be met)
A \( x^{2}+x+\frac{1}{2} \log (x-1)-\frac{1}{4} \log \left(x^{2}+1\right)-\frac{1}{2} \tan ^{-1} x+c \)
B \( \cdot \frac{1}{2} x^{2}+x+\frac{1}{2} \log (x-1)-\frac{1}{4} \log \left(x^{2}+1\right)-\frac{1}{2} \tan ^{-1} x+c \)
C \( \cdot \frac{1}{2} x^{2}+x-\frac{1}{2} \log (x-1)-\frac{1}{4} \log \left(x^{2}+1\right)-\frac{1}{2} \tan ^{-1} x+c \)
D \( \cdot \frac{1}{2} x^{2}-x+\frac{1}{2} \log (x-1)-\frac{1}{4} \log \left(x^{2}+1\right)+\frac{1}{2} \tan ^{-1} x+c \)


All non metals react with nitric acid.
A. True
B. False


What is meant by the term
chromatography?


Assertion
If \( A \) is a square matrix of order \( n \) then
\( \operatorname{det}(k A)=k^{n}|A| \)
Reason
If matrix \( \mathrm{B} \) is obtained from \( \mathrm{A} \) by multiplying any row (or column) by a
non zero scalar \( k \) then \( \operatorname{det}(B)= \)
\( \boldsymbol{k} \operatorname{det}(\boldsymbol{A}) \)
A. Both (A) \& (R) are individually true \& (R) is correct explanation of \( (A) \)
B. Both (A) \& (R) are individually true but (R) is not the correct (proper) explanation of (A)
c. (A)is true but (R) is false,
D. (A)is false but (R) is true.


White phosphorus on reaction with
NaOH gives \( P H_{3} \) as one of the products.
This is a?
A. Dimerisation reaction
B. Disproportionation reaction
c. condensation reaction
D. Precipitation reaction


If the total surface area of a solid
hemisphere is \( 462 \mathrm{cm}^{2} \), find its volume. Note: Take \( \boldsymbol{\pi}=\frac{\mathbf{2 2}}{\mathbf{7}} \)
\( \mathbf{A} \cdot 716 \)
B. 718.67
c. 720.87
D. 840


The natural frequency of a \( L-C \) circuit
is
A \( \cdot \frac{1}{2 \pi \sqrt{L C}} \)
в. \( \frac{1}{2 \pi} \sqrt{\frac{C}{L}} \)
c. \( \frac{1}{2 \pi} \sqrt{\frac{L}{C}} \)
D. \( \sqrt{L C} \)


\( \triangle A B C \sim \triangle D E F . \triangle A B C \) is such that
\( A B=5.2 \mathrm{cm}, B C=4.6 \mathrm{cm}, \angle B=45^{\circ} \) and
\( \frac{B C}{E F}=\frac{2}{3} ; \) Construct \( \triangle D E F \)


When plate voltage in diode valve is increased from \( 100 \mathrm{V} \) to \( 150 \mathrm{V} \). Then, plate
increases from \( 7.5 \mathrm{mA} \) to \( 12 \mathrm{mA} \), then dynamic plate resistance will be
\( \mathbf{A} \cdot 10 k \Omega \)
B. \( 11 k \Omega \)
\( \mathbf{c} \cdot 15 k \Omega \)
D. \( 11.1 k . \Omega \)


To which chemical group do all enzymes belong?


The specific conductance of a saturated
solution of \( \mathrm{AgCl} \) at \( 25^{\circ} \mathrm{C} \) after subtracting the specific conductance of water is \( 2.28 \times 10^{-4} \mathrm{Sm}^{-1} \). Calculate the
solubility of AgCl in gram per \( d m^{3} \) at this temperature. The molar ionic
conductances of \( A g^{+} \) and \( C l^{-} \) ions are \( 73.3 \times 10^{-4} \) and \( 65.0 \times 10^{-4} S m^{2} m o l^{-1} \)
\( (A g: 108 \text { and } C l: 35.5) \)


A heat engine absorbs \( Q_{1} \) heat from hot
reservoir and work produced by engine is \( W \), then:
A \( \cdot Q_{1} \) is always \( =W \)
B. only in some special cases \( Q_{1}=W \) otherwise \( Q_{1} \) is greater than \( W \)
c. \( Q_{1} \) is always less than \( W \)
D. \( Q_{1} \) is always greater than \( W \)


Observe the circit in the figure. Which of
the following materials can be used to complete the open fruit and light the
bloub
[Paper, rubber bandm, steel spon silk, plastic, nail, blade]


Q Type your question_
parts have been indicated by alphabets.
Choose the answer in which these
alphabets have been correctly matched
with the parts, which they represent.
A. \( A \) - Kidney, \( B \) - Abdominal aorta, \( C \) - Ureters, \( D \) Urinary bladder, E - Urethra, F - Renal pelvis
B. A - Kidney, B - Abdominal aorta, C - Urethra, D Urinary bladder, E - Renal pelvis, F - Urethra
C. A - Kidney, B - Renal pelvis, C - Urethra, D - Urinary bladder, E - Ureters, F - Abdominal aorta
D. A - Kidney, B - Abdominal aorta, C - Urethra, D Urinary bladder, E - Renal pelvis, F - Ureters


\( H C l \) is dried by passing through \( C a O \)
A. True
B. False


The true statement for the acids of
phosphorus, \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{2}, \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3} \) and
\( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \) is :
\( \mathbf{A} \cdot \) the order of their acidity is \( H_{3} P O_{2}>H_{3} P O_{3}> \)
\( H_{3} P O_{4} \)
B. all of them are reducing in nature
C. all of them are tribasic acids
D. the geometry of phosphorus is tetrahedral in all the three


Two liquids \( X \) and \( Y \) form an ideal
solution at \( 300 K \), the vapour pressure
of the solution containing 1 mole of \( X \)
and 3 moles of \( Y \) is 550 mm Hg. At the
same temperature, if 1 mole of \( Y \) is further added to this solution, the
vapour pressure of the solution
increases by 10 mm \( H g . \) Vapour
pressure (in \( \mathrm{mm} \) Hg ) of \( \boldsymbol{X} \) and \( \boldsymbol{Y} \) in
their pure states will be respectively:
A . 200 and 300
B. 300 and 400
c. 400 and 600
D. 500 and 600


The electrical analog of mass is
A . Diode
B. Capacitance
c. Inductance
D. Resistance


lonized hydrogen atoms and \( \alpha \) -particles
with same momenta enters
perpendicular to a constant magnetic field, B. The ratio of their radii of their
paths \( r_{H}: r_{\alpha} \) will be :
A .2: 1
B. 1: 2
c. 4: 1
D. 1: 4


Bond length between N and Cl is :
A . \( 1.15 \AA \)
B. \( 0.65 \dot{A} \)
\( c \cdot 2.30 \hat{A} \)
D. 1.75 \( \dot{A} \)


An absorption of \( 12.088 e V \) energy by an
electron in ground state of \( \boldsymbol{H} \) -atom brings in the excitation of electron to which orbit?
A. Two
B. Three
c. Four
D. Not possible. Minimum ene \( 6 e^{v} \)


A body is dropped from the top of a
tower It acquires a velocity \( 20 m s^{-1} \) on reaching the ground. Calculate the height of the tower (Take \( g=10 m s^{-2} \) )


If the potential energy of two molecules is give by, \( U=\frac{A}{r^{12}}-\frac{B}{r^{6}} \) then at
equilibrium position, its potential energy is equal to?
A \( \cdot \frac{A^{2}}{4 B} \)
B. \( -\frac{B^{2}}{4 A} \)
c. \( \left(\frac{2 A}{B}\right)^{\frac{1}{6}} \)
D. 3A


Ozone reacts with \( H_{2} O_{2} \) to give oxygen.
One volume of ozone gives:
A. one volume of oxygen
B. half volume of oxygen
C. three volumes of oxygen
D. two volumes of oxygen


In a standard ECG
A. The end of T-wave marks the begining of systole
B. The end of T-wave marks the end of systole
C. The end of P-wave marks the end of systole
D. The end of \( Q \) -wave marks the end of systole


Find the conjugate of the following
complex number. \( (15+3 i)-(4-20 i) \)


The diameter of a solid hemisphere is \( 42 \mathrm{cm} . \) Find its volume, curved surface
area and total surface area.


The conversion of a keto form into enol
is enolisation. It depends on
structural factor, temperature and nature of solvent. Resonance and
hydrogen bonding increases eno content. Enolic form of phenol is more stable than keto form by -13 kcal/mole of energy hence phenol exist exclusively as an enol. Enolic tautomer is less polar
due to intramolecular hydrogen bonds than the corresponding keto form.Any polar solvent would decrease the enolisation and favour keto form intramolecular hydrogen bonding stablized enol form by 7 kcal/mole and resonance stabilizes enol form by
15 kcal/mole
Which one of the following compounds has maximum enol content?
A. \( C H_{3} C O C H_{2} C O O C H_{3} \)
в. \( C H_{3} C O C H_{2} C O O C_{2} H_{5} \)
c. \( C H_{3} C O C H_{2} C O C H_{3} \)
D. \( C_{6} H_{5} C O C H_{2} C O C_{6} H_{5} \)


Match the following
a) step up transformer
d) turns ratio
is 1
e) \( \mathrm{Ns}>\mathrm{Np} \)
b) step down transformer
c) Ideal transformer
f) \( \mathrm{Np}>\mathrm{Ns} \)
A. a-f, b-e, c-d
B. a-e, b-d, c-f
c. a-d, b-e, c-f
D. a-e, b-f, c-d


\( \boldsymbol{S} \boldsymbol{O}_{2} \) gas may be produced by:
A. heating \( S \) in absence of air
B. roasting Zn
c. heating ferric sulphate
D. hydrolysing \( N a_{2} S O_{4} \)


In calcium hypophosphite, oxidation number of phosphorus is
\( \mathbf{A} \cdot \mathbf{0} \)
B. +1
\( c \cdot+3 \)
D. + 5


Let \( S \) be the set of all points in a plane. Let \( R \) be a relation on \( S \) such that for any
two points a and \( b, a R b \) iff \( b \) is within 1
centimetre from a. Check R for
reflexivity, symmetry and transitivity.


The distance between a pair of parallel \( \operatorname{lines} 9 x^{2}-24 x y+16 y^{2}-12 x+ \)
\( \mathbf{1 6} \boldsymbol{y}-\mathbf{1 2}=\mathbf{0} \)
A . 5
B. 8
\( c \cdot 8 / 5 \)
D. \( 5 / 8 \)


During inspiration in man,
A. The external intercostal muscles relax
B. Due to contraction of external intercostal muscles and flattening of diaphragm, the volume of thoracic cavity increases
c. Due to contraction of external intercostal muscles and flattening of diaphragm, the volume of thoracic cavity decreases
D. The abdominal muscles contract


Reaction intermediate formed due to
heterolytic bond fission are:
A. carbenes and free radicals
B. free radicals, carbanion and diradical
c. carbocation, free radical and carbanion
D. carbocation and carbanion


A marble going at a speed of \( 12 m s^{-1} \) hits another marble of equal mass at rest. If the collision is perfectly elastic. Find the velocity of the first after collision.
A . 4
B.
c. 2
D. 3


toppr
Q Type your question
A. P-Matrix; Q- Outer chamber; R-F \( M N H_{2} ; \mathrm{S}-N A D H_{2} \)
\( \mathrm{T}-2 \mathrm{H} \)
B. P-Inter membrane space; Q- Matrix; R-NADH+ \( H^{+} ; \) S-
\( N A D^{+} ; \mathrm{T}-2 H^{+} \)
C. P-Inter membrane; Q- Cristae; R- \( N A D^{+} ; \) S-N \( A D H+ \)
\( H^{+} ; \mathrm{T}-H_{2} \)
D. P-Cristae; Q- Outer chamber; R-NADH+H \( ^{+} ; \) S- \( N A D^{+} \),
\( \mathrm{T}-2 H^{+} \)


Plates of a parallel plate capacitor \( \mathbf{C} \)
have charges \( \mathrm{CV} \) and \( 3 \mathrm{CV} \) on its plates.
If switch is closed at t=0. Then initial
rate at which heat energy is produced in resistance R is:
\( A \cdot \frac{V^{2}}{R} \)
B. \( \frac{4 V^{2}}{R} \)
c. \( \frac{9 V^{2}}{R} \)
D. \( \frac{16 V^{2}}{R} \)


Write the IUPAC name of
\( \boldsymbol{O} \boldsymbol{H} \)
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\quad \boldsymbol{C} \quad-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{3} \)
\( \mid \)
\( \boldsymbol{C H}_{3} \)
A. 3-Methylpentan-3-ol
B. 3-Hydroxyhexane
c. 3-Hydroxy-3-methyl pentane
D. All of the above


Which of the following displaces \( B r_{2} \) from an aquenous solution containing bromide ions?
A \( \cdot C l \)
в. \( C l_{2} \)
\( c \cdot I_{3}^{-} \)
D. \( I_{2} \)


Two crossroads,each \( 2 \mathrm{m} \) wide,run at
right angles through the center of a rectangular park of length \( 64 \mathrm{m} \) and
breadth \( 38 \mathrm{m} \),such that each is parallel to one of the sides of the rectangle. Find the area of the roads.also, find the area
of the remaining part of the park


Find the value of \( 4 ! \)


topp
Q туре your question
which of the following construction
is/are possible?
4


Governments have already taken action against air pollution by introducing
A. wind energy
B. solar energy
c. renewable energy
D. all of the above


Find the root of the perpendicular from point (2,3,2) to the line \( \frac{4-x}{2}=\frac{y}{6}= \) \( \frac{1-z}{3} \) also find perpendicular distance
from the point to the line.


A ball is dropped from a height \( 100 m \) on the ground. If the coefficient
of restitution is \( 0.2, \) the height to which the ball will go up after it rebounds for the IInd time
A . \( 15 m \)
B. \( 1.6 \mathrm{cm} \)
\( c .1 .6 m \)
D. \( 40 \mathrm{cm} \)


The inductor in a LC oscillation has a
maximum potential difference of \( 16 \mathrm{V} \)
and maximum energy of \( 640 \mu \) J. Find
the value of capacitor in \( \mu \) F in LC circuit.
A. \( F=5 \mu F \)
В. \( F=6 \mu F \)
c. \( F=7 \mu F \)
D. \( F=8 \mu F \)


At temperature \( 1000^{\circ} \mathrm{C}, \Delta G \) of the
reaction \( Z n O+C \rightarrow Z n+C O \) is
Temperature
A. -ve
B. \( +v e \)
\( c \). zero
D. nothing can be said


is not a part of excretory system in human being.
A. Ureter
B. Urethra
c. uterus
D. Urinary bladder


Normal pathway of blood flow is
A. Right ventricle to aorta
B. Pulmonary veins to left atrium
C. Inferior vena cava to left atrium
D. Pulmonary veins to left ventricle
E. Left ventricle to pulmonary artery


Which of the following is a physical change?
a) Hammering of a red hot iron rod to
make a flat sheet.
b) Formation of ice by cooling of water.
c) Rising up of water vapors from sea to
make clouds.
d) Heating of charcoal in air to high temperature till it begins to flow.
\( A \cdot a, b \) and \( c \)
B. b, cand d
c. \( c, \) d and a
D. \( d, \) a and \( b \)


\( N H_{4}^{+} \) ion an aqueous solution will
behave as:
A. A base
B. An acid
c. Both acid and base
D. Neutral


Which of the regents will convert a nitrile to corresponding aldehyde?
A \( \cdot\left(\text { i) } L i A l H_{4} \text { (ii) } H_{3} O^{+}\right. \)
B . (i) \( D I B A L-H \) (ii) \( H_{3} O^{+} \)
c. \( N a O H, H_{2} O, \) Heat
D. \( N a B H_{4} \)


Which is a natural polymer?
A. Polythene
B. Cellulose
c. PVC
D. Teflon