An experiment can result in only 3 mutually exclusive events \( A, B \) and \( C \)
If \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{2} \boldsymbol{P}(\boldsymbol{B})=\mathbf{3} \boldsymbol{P}(\boldsymbol{C}), \) then
\( \boldsymbol{P}(\boldsymbol{A})= \)
\( A \cdot \frac{6}{11} \)
B. \( \frac{5}{11} \)
\( c \cdot \frac{9}{11} \)
D. None


Foreman ovale
A. Connects the two atria in the foetal heart.
B. Is a condition in which the heart valves do not
completely close.
C. Is a shallow depression in the inter ventricular septum.
D. Is a connection between the pulmonary trunk and the aorta in the foetus.


Which of the following statements
is/are not correct?
This question has multiple correct options
A. The covalency of \( \mathrm{N} \) in \( \mathrm{HNO}_{3} \) is +5
B. \( H N O_{3} \) in the gaseous state has a trigonal planar structure
C. The oxidation state of \( \mathrm{N} \) in \( \mathrm{H} \mathrm{NO}_{3} \) is +4
D. Gold dissolves in \( H N O_{3} \) to form gold nitrate


Find the min. value of \( \frac{\boldsymbol{a}^{2}}{\cos ^{2} \boldsymbol{x}}+\frac{\boldsymbol{b}^{2}}{\sin ^{2} \boldsymbol{x}} \)
A. \( (a+b)^{2} \)
2) \( a+b+b^{-2} b+b^{-2} \)
B . \( (a-b)^{2} \)
\( \mathbf{c} \cdot a^{2}+b^{2} \)
D. \( a^{2}-b^{2} \)


In electrolysis of \( A l_{2} O_{3} \) by Hall-
Heroult process,
A. cryolite \( N a_{3}\left[A l F_{6}\right] \) lowers the \( m . p . \) of \( A l_{2} O_{3} \) and increases its electrical conductivity
B. Al is obtained at cathode and probably \( C O_{2} \) at anode
c. Both (a) and
(b) are correct
D. None of the above


An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be:
A \( \cdot \frac{25 m}{24 h R} \)
B . \( \frac{24 m}{24 h R} \)
\( \mathrm{c} \cdot \frac{24 h R}{25 m} \)
D. \( \frac{25 m}{14 h R} \)


A bus travelling the first one third distance at a speed of \( 10 k m / h \), the next one third at20km/ \( h \) and the last
one third at \( 60 k m / h . \) The average speed of the bus is
\( \mathbf{A} \cdot 9 k m / h \)
в. \( 16 k m / h \)
c. \( 18 k m / h \)
D. \( 48 k m / h \)


A saturated solution of iodine in water
contains \( 0.33 \mathrm{g} \) iodine/L. More than this can dissolve in a \( K I \) solution because
of the following equilibrium: \( \boldsymbol{I}_{2}(\boldsymbol{a} \boldsymbol{q})+ \) \( \boldsymbol{I}^{-} \rightarrow \boldsymbol{I}_{3}-(\boldsymbol{a} \boldsymbol{q}) \cdot \mathbf{A} \mathbf{0} \cdot \mathbf{1} \boldsymbol{M} \boldsymbol{K} \boldsymbol{I} \) solution
\( \left(0.1 M I^{-}\right) \) actually dissolves 12.5 g of lodine/L, most of which is converted to
\( I_{3}^{-} . \) Assuming that the concentration of
\( I_{2} \) in all saturated solutions is the
same, calculate the equilibrium constant for the above reaction: (Mol. wt
of \( I=258 g m o l^{-1} \)
A. 709.3
B . 465.6
c. 287.4
D. 687.4


Continuous spectrum is produced by
This question has multiple correct options
A. Incandescent electric bulb
B. Sun
C . Hydrogen molecules
D. Sodium vapor lamp


The mole fraction of water in \( 20 \% \) (wt. \( / \)
wt.) aqueous solution of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) is:
A \( \cdot \frac{77}{68} \)
в. \( \frac{68}{77} \)
c. \( \frac{20}{80} \)
D. \( \frac{80}{20} \)


The phase difference between the velocity and displacement of a particle executing SHM is
A \( \cdot \pi / 2 \) radian
B. \( \pi \) radian
\( c \cdot 2 \pi \) radian
D. zero


State whether the resistivity of a wire changes with the change in the thickness of the wire.


The resultant of two forces \( P \) and \( Q \)
acting at an angle a is equal to \( (2 m+1) \sqrt{P^{2}+Q^{2}} . \) When the forces
act at an angle \( (90-\alpha), \) the resultant
is \( (2 m-1) \sqrt{P^{2}+Q^{2}} . \) Then value of
tan\alpha is:


Which of the following compounds is optically active?
A. \( C H_{2} C H_{2} C O O H \)
в. НООС\( - \)СН\( _{2}- \)СООН
с. \( C H_{3} C H(O H) \)СООН
D. \( C l_{2} \) СНСООН


For a reaction \( \boldsymbol{P}+\boldsymbol{Q} \rightarrow \mathbf{2} \boldsymbol{R}+\boldsymbol{S} . \) Which
of the following statements is incorrect?
A. Rate of disappearance of \( P= \) Rate of appearance of
B. Rate of disappearance of \( P=2 \times \) Rate of appearance of \( R \)
c. Rate of disappearance of \( P= \) Rate of disappearance of \( Q \)
D. Rate of disappearance of \( Q=\frac{1}{2} \times \) Rate of appearance
of \( R \)


In which of the following mixtures, the London dispersion force acts as a major intermolecular force of attraction?
A. Sodium chloride and water
B. Cyclohexane and carbon tetrachloride
c. water and ethyl alcohol
D. Benzene and acetone


Explain why:
Acetaldehyde undergoes aldol condensation, but formaldehyde does
not


\( \int \sin \theta \cos \theta d \theta \)


Consider the following reactions Meso-butan- \( 2,3- \) diol is formed
in:
A \( \cdot(I),(I I),(V) \)
B. \( (I I I),(I V),(V I) \)
c. \( (I),(I I),(I V) \)
D. \( (I I I),(I V),(V) \)


The mass of a box measured by a
grocer's balance is 2.3 kg.two gold pieces of masses \( 20.15 g \) and \( 20.17 g \)
are added to the box. The total mass of
the box is:
A . \( 2.30 \mathrm{kg} \)
в. \( 2.340 \mathrm{kg} \)
c. \( 2.34 \mathrm{kg} \)
D. \( 2.3 \mathrm{kg} \)


Find the value of \( \boldsymbol{x} \)
If \( , \tan ^{-1}(x-1)+\tan ^{-1} x+\tan ^{-1}(x+ \)
1) \( =\tan ^{-1} 3 x \)


Glycolate accumulates in chloroplast at
A. Low temparature
в. \( \operatorname{Low} C O_{2} \)
c. Visible light illumination
D. High \( C O_{2} \)


When a proton is released vest in a room. it starts with an initial
acceleration \( a_{0} \) towards west. When it
is projected towards north with a speed
\( v_{0} \) it moves with an initial acceleration
\( 3 a_{0} \) toward west. The electric and
magnetic fields in the room are
\( \mathbf{A} \cdot \frac{m a_{0}}{e} \) east \( , \frac{3 m a_{0}}{e v_{0}} u p \)
B. \( \frac{m a_{0}}{e} \) east, \( \frac{3 m a_{0}}{e_{e 0}} \) down
\( \mathbf{C} \cdot \frac{m a_{0}}{e} \) west \( , \frac{2 m a_{0}}{e v_{0}} u p \)
D. \( \frac{m a_{0}}{e} \) west \( , \frac{2 m a_{0}}{e_{e v}} d o w n \)


Identify the parts as \( A, B, C, D \) in the
given diagram
A . A- Oviduct, B- Uterus, C- Oviduct, D- Ovary
B. A- Cervix, B- Uterus, C- - Ovary, D- Tumor
C. A- Uterus, B- Uterine cavity, C- Oviducal funnel, D Ovary
D. A- Cervix, B- Uterine cavity, C- Fallopian tube, D- Ovary


Correct order of radius of the 1 st orbit of \( \boldsymbol{H}, \boldsymbol{H} \boldsymbol{e}^{+}, \boldsymbol{L} \boldsymbol{i}^{2+} \) and \( \boldsymbol{B} \boldsymbol{e}^{\boldsymbol{3}+} \) is:
A \( \cdot H>H e^{+}>L i^{2+}>B e^{3} \)
в. \( B e^{3+}>L i^{2+}>H e^{+}>H \)
\( \mathbf{c} \cdot H e^{+}>B e^{3+}>L i^{2+}>H \)
D. \( H e^{+}>H>L i^{2+}>B e^{3} \)


A stone of mass \( 10 \mathrm{kg} \) is lying at the bed of a lake 5 m deep. If the relative density
of the stone is \( 2, \) the amount of work
done to bring it to the top of the lake will
be
\( \mathbf{A} \cdot 250 J \)
B. \( 258 J \)
c. \( 345 J \)
D. \( 385 J \)


Find the equation of the normal to the curve \( x^{2}=4 y \) which passes through
the point (1,2)


What is silver mirror test? Explain with
reaction.


Identify the gate used in the following
diagram.
\( A \cdot A N D \)
B. OR
c. NAND
NOR


A small sphere of mass \( m \) and electric
charge \( \boldsymbol{q}, \) is suspended by a light thread. A second sphere carrying a
charge \( q_{2} \) is placed directly below the
first sphere at a distance \( ^{\prime} d^{\prime} \) away. Then
A. tension in thread may reduce to zero if the spheres are positively charged
B. tension in thread may reduce to zero if the spheres are oppositely charged
c. tension in thread can never be zero
D. tension in thread is independent of the nature of the charges


If a star converts all of its Helium into
Oxygen nucleus, find the amount of
energy released per nucleus of Oxygen. \( (H e=4.0026 a m u \)
\( \boldsymbol{O}=\mathbf{1 5 . 9 9 9 4} \boldsymbol{a m u} \)
A. \( 7.26 \mathrm{MeV} \)
B. 7 MeV
c. 10.24 MeV
D. \( 5.12 \mathrm{MeV} \)


two blocks of masses \( m_{1}=2 k g \) and
\( \boldsymbol{m}_{2}=4 k g \) are moving in the same
direction with speeds \( \nu_{1}=6 m / s \) and
\( \nu_{2}=3 m / s, \) respectively on a
frictioneless surface as shown in the
figure. An ideal spring with spring
constant \( k=30000 N / m \) is attached
to the back side of \( m_{2} \). Then the
maximum compression of the spring
after collision will be:
\( \mathbf{A} \cdot 0.06 m \)
B. \( 0.04 m \)
c. \( 0.02 m \)
D. none of these


A particle of charge q is moving with
velocity v in the presence of crossed
electric field E and magnetic field B as shown. Write the condition under which
the particle will continue moving along x-axis. How would the trajectory of the
particle be affected if the electric field is suddenly switched off?


Two particles of equal mass have initial velocities \( 2 \hat{i} m s^{-1} \) and \( 2 \hat{j} m s^{-1} . \) First
particle has a constant acceleration \( (\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}) \boldsymbol{m} \boldsymbol{s}^{-1} \) while the acceleration of
the second particle is always zero. The centre of mass of the two particles moves in:
A . Circle
B. Parabola
c. Ellipse
D. Straight line


Naked seeds of gymnosperms meant for absence of which of the following?
A. Seed coat
B. Integument
c. Embry
D. None of the above


sweetener \( A, B, C \) and \( D . \) To identify
these samples, he performed certain experiments and noted the following observations.
(i) \( A \) and \( D \) both form a blue-violet
colour with ninhydrin.
(ii) Lassaigne extract of \( \mathrm{C} \) gives positive
\( A g N O_{3} \) test and negative
\( \boldsymbol{F} \boldsymbol{e}_{4}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right]_{3} \) test.
(iii) Lassaigne extract of \( \mathrm{B} \) and \( \mathrm{D} \) gives positive sodium nitroprusside test.
Based on these observations which
option is correct?
A. A: Alitame; B: Saccharin;
C: Aspartame; D: Sucralose
B. A: Aspartame; B: Saccharine;
C: Sucralose; D: Alitame
C. A: Aspartame; B: Alitame;
c: Saccharin; D: Sucralose
D. A: Saccharin; B: Alitame;
C: Sucralose; D: Aspartame


The mean value of the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \frac{2}{e^{x}+1} \) on the interval [0,2] is
\( ^{A} \cdot_{2-\log _{e}}\left(\frac{2}{e^{2}+1}\right) \)
B. \( _{2+\log _{e}}\left(\frac{2}{e^{2}+1}\right) \)
\( ^{\mathrm{c}} 2+\log _{e}\left(\frac{2}{e^{2}-1}\right) \)
D. \( _{-2+\log _{e}}\left(\frac{2}{e^{2}-1}\right) \)


If \( \frac{\boldsymbol{a}-\boldsymbol{x}}{\boldsymbol{p} \boldsymbol{x}}=\frac{\boldsymbol{a}-\boldsymbol{y}}{\boldsymbol{q} \boldsymbol{y}}=\frac{\boldsymbol{a}-\boldsymbol{z}}{\boldsymbol{r} \boldsymbol{z}} \) and \( \boldsymbol{p}, \boldsymbol{q}, \boldsymbol{r} \)
be in A.P. then \( x, y, z \) are in?
A. A.P
в. G.P.
c. н.P
D. A.G.P.


Animal charcoal is used in decolorising colour of liquids because it is a good:
A. adsorbate
B. adsorbent.
c. oxidising agent.
D. reducing agent.


Assertion
The -As=As- linkage present in arsphenamine (a sulpha drugs) resemles the -N=N-linkage present is
azo dyes.
Reason
The first antibacterial agent, prontosil resembles in structure to the
compound salvarsan.
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


State the rule to determine the
direction of a Magnetic field produced around a straight conductor carrying
current


Addition of \( H C l \) will not suppress the ionization of:
A . acetic acid
B. benzoic acid
\( \mathrm{c} \cdot \mathrm{H}_{2} \)
D. sulphuric acid


The graph is shown in the figure is a
plot of the temperature of the body in
\( ^{o} C \) and \( ^{o} F . \) The value of \( \sin \theta \) is
4
\( \overline{\mathrm{q}} \)
B. \( \frac{5}{\sqrt{86}} \)
c. \( \frac{9}{\sqrt{86}} \)
D. \( \frac{5}{\sqrt{106}} \)


Which of the following statements
support the fact that sound requires a
material medium to pass through?
A. We do not hear the sound of explosions occurring in Sun
B. Rings of an electric bell put within a vacuumized jar can not be heard
C. If we put one ear on an iron rod and hit on it, we hear two sounds simultanneously
D. All of these


If \( \sin ^{-1} x+4 \cos ^{-1} x=\pi, \) then \( x= \)
A. \( 1 / 2 \)
в. \( \frac{1}{\sqrt{2}} \)
c. \( \frac{\sqrt{3}}{2} \)
D.


Find the mean deviation about the
median for the data
\( \mathbf{3 6}, \mathbf{7 2}, \mathbf{4 6}, \mathbf{4 2}, \mathbf{6 0}, \mathbf{4 5}, \mathbf{5 3}, \mathbf{4 6}, \mathbf{5 1}, \mathbf{4 9} \)


The sum of two integers is \( -35 . \) If one of them is \( 40, \) then the other is.
A . 5
B. -75
c. 75
D. -5


How many mole of \( \boldsymbol{H} \boldsymbol{C} \boldsymbol{N} \) will be required to prepare one litre buffer solution of \( \boldsymbol{p} \boldsymbol{H}=\mathbf{1 0 . 4} \) using \( \mathbf{0 . 0 1} \) mol
NaC N?
(Given: \( \left.\boldsymbol{K}_{\boldsymbol{a}}(\boldsymbol{H} \boldsymbol{C N})=\boldsymbol{4} \times \mathbf{1 0}^{-10}\right) \)
\( \mathbf{A} \cdot 2 \times 10^{-2} \mathbf{M} \)
В. \( 9 \times 10^{-4} \) М
\( \mathbf{c} \cdot 4 \times 10^{-4} \mathrm{M} \)
D. \( 9 \times 10^{-3} \mathrm{M} \)


The energy released per fission of Uranium is \( 200 \mathrm{MeV} \). Determine the
number of fission per second required to generate 2MW power.
\( \mathbf{A} \cdot 6.25 \times 10^{16} \)
B. \( 0.25 \times 10^{16} \)
C. \( 1.25 \times 10^{16} \)
D \( .25 \times 10^{16} \)


Twp angles form a linear pair. If one of these is one-fourth of the other, find the positive difference between the two
angles.( in degrees )


The legume fruit develops from
A. Inferior ovary
B. Monocarpellary
C. Bicarpellary ovary
D. Multicarpellary ovary


Can a current carrying straight electric wires attract the nearby iron objects
towards them?


From the following data estimate the order for decomposition of an aqueous solution of hydrogen peroxide:
Time \( \quad \) o \( \quad \mathbf{1 0} \quad \mathbf{2 0} \)
(minutes)
\[
V(m l)
\]
\( \begin{array}{lll}46.1 & 29.8 & 19.6\end{array} \)
where \( V \) is the volume of potassium
permanganate solution in \( m L \) required to decompose a definite volume of the
peroxide solution.
A .
B. 1
\( c \cdot 2 \)
D. \( 1 / 2 \)


Largest amount of fresh water occurs
A. As under ground water
B. In lakes and streams
c. As polar ice and glaciers
D. In rivers


Write any two arithmetic progressions
with common difference 4


Choose a set of organisms showing bilateral symmetry.
A. Spongilla, Hydra, Ascaris
B. Sea fan, Sea cucumber, Cockroach
c. Earthworm, Octopus, Balanoglossus
D. Laccifer, Nereis, Ctenoplana


Differentiate between primary
pollutants and secondary pollutants?


The following are some statements about electrolysis:
I) Involves flow of electrons from anode to
cathode
II) Involves no chemical reaction at
electrodes
III) Oxidation occurs at anode and
reduction at cathode
IV) Anions migrate towards cathode
A. Only I and III are correct
B. Only I and II are correct
c. onlyı, I land III are correct
D. All are correct


Solve \( 8 x-2 y=28 \) and \( x+4 y=-5 \)


When a mercury thermometer is
inserted in a pot of hot water and the
reading is recorded, what temperature
¡s being
A. Average temperature of water and surroundings
B. Average temperature of thermometer
C. Average temperature of water and thermometer
D. Temperature difference between water and surroundings


is the longest part of the alimentary
canal
A. Duodenum
B. Ileum
c. colon
D. Large intestine


Which of the following statements about fungi is not true?
A. A hyphal fungus has a body called as a mycelium.
B. Hyphae are composed of individual mycelia.
C. Many fungi tolerate highly hyper-osmotic environments.
D. Many fungi tolerate low temperature.


Solve: \( \int\left(\boldsymbol{x}+\frac{\mathbf{1}}{\boldsymbol{x}}\right)^{\mathbf{3}} \boldsymbol{d} \boldsymbol{x} \)


In simple harmonic motion, loss of kinetic energy is proportional to
\( \mathbf{A} \cdot e^{x}^{x} \)
B \( \cdot x^{3} \)
\( c \cdot \log x \)
D. \( x^{2} \)


Bond energy of \( F_{2}, C l_{2} \) and \( B r_{2} \) follow
the order:
A. \( F-F>C l-C l>B r-B r \)
в. \( C l-C l>B r-B r>F-F \)
c. \( B r-B r>C l-C l>F-F \)
D. \( C l-C l>F-F>B r-B r \)


Which one will excrete silicates
consumed by earthworm along with food?
A. Intestinal cells
B. Basal cells
c. chloragogen cells
D. Flame cells


Mixture containing one mole \( N a_{2} C O_{3} \)
and one mole \( N a H C O_{3} \) is heated. If
amount (in moles) of the residue is \( x \)
then \( 10 x \) is:


Find out the efficiency of the heat engine if it produces \( 100 J \) of heat, does
\( 30 J \) of work, and emits \( 70 J \) into a cold
reservoir.
\( \mathbf{A} \cdot 100 \% \)
B. \( 70 \% \)
c. \( 42 \% \)
D. 40\%
E . \( 30 \% \)


Assertion
Neurospora is commonly called water-
mould.
Reason
It belongs to basidomycetes fungi.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is
not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect


A wheel has angular acceleration of \( 3.0 \mathrm{rad} / \mathrm{s}^{2} \) and an intial angular speed
of 2.00 rad/s. In a time of \( 2 s \) it has rotated through an angle (in radians) of
\( \mathbf{A} \cdot \mathbf{6} \)
B. 10
c. 12
D.


Find the radian measure of the interior
angle of regular hexagon.


Simplify:
\( 4(x-5) \)
A \( .4 x-5 \)
B. \( 4 x-20 \)
c. \( 4 x+5 \)
D. \( 4 x+20 \)


A machine gun of mass \( 12 \mathrm{kg} \) fires \( 25 \mathrm{g} \) bullets at the rate of 4 bullets per
second with a velocity of \( 500 \mathrm{m} s^{-1} \)
What force must be applied to the gun to hold it in position?
A. 20 N
B. 12.5 N
c. \( 50 \mathrm{N} \)
D. 75 N


The final product obtained when boric acid is heated to red heat is :
A. metaboric acid
B. tetraboric acid
c. boron oxide
D. pyroboric acid


If \( C= \) the velocity of light, which of the following is correct?
\( \mathbf{A} \cdot \mu_{0} \varepsilon_{0}=c \)
В. \( \mu_{0} \varepsilon_{0}=c^{2} \)
\( \mathbf{c} \)
D. \( _{\mu_{0} \varepsilon_{0}}=\frac{1}{c^{2}} \)


Cohort is a group correlated with
A. species
B. Phylum
c. Families
D. Order


If \( X \) is a non-metal. It will not conduct
electricity unless it is carbon in the form of :
A. Graphite
B. Diamond
c. Fullerene
D. None of these


Which of the following reagents cannot be used for the preparation of hydrogen peroxide?
A. Sodium peroxide
B. 2- Ethylanthraquinol
c. Sodium thiosulphate
D. Barium Peroxide


If \( \tan A, \tan B \) are the roots of \( x^{2}- \)
\( \mathbf{2} \boldsymbol{x}+\mathbf{2}=\mathbf{0} \) then \( \cot ^{2}(\boldsymbol{A}+\boldsymbol{B})= \)
A \( \cdot \frac{4}{5} \)
в. \( \frac{1}{2} \)
\( c \cdot \frac{3}{4} \)
D.


While antacids and antiallergic drugs interfere with the function
of histamines, why do these not
interfere with the function of each other
\( ? \)


The product \( (B): \)
\( A \)
B.
\( c \)
D.


If the projections of the line segment \( A B \) on the coordinate axes are 2,3,6
then the square of the sine of the angle made by \( \boldsymbol{A B} \) with \( \boldsymbol{x}=\mathbf{0}, \) is
A \( \cdot \frac{3}{7} \)
B. \( \frac{3}{49} \)
\( c \cdot \frac{4}{7} \)
D. \( \frac{40}{49} \)


Light is falling on surface \( \mathrm{S}_{1}, \mathrm{S}_{2}, \mathrm{S}_{3} \) as
shown in the figure. Surfaces on which the angle of incidence is equal to the angle of reflection is/are:
\( A \cdot S_{1} \) only
B. \( S_{1} \) and \( S_{2} \) only
\( c \cdot s_{2} \) and \( S_{3} \)
D. all the three surfaces


Die \( A \) has 4 red and 2 white faces where
as die \( B \) has two red and 4 white faces.
\( A \) fair coin is tossed. If head turns up,
the game continues by throwing die \( A \)
if tail turns up then die \( B \) is to be used. If the first two throws resulted in
red, what is the probability of getting red face at the third throw?
\( A \cdot \frac{2}{5} \)
B. \( \frac{1}{5} \)
\( c \cdot \frac{3}{5} \)
D. \( \frac{1}{2} \)


Find the measure of an angle in degrees formed by an arc of \( 2.5 \mathrm{cm} \) length at the centre of a circle with \( 15 \mathrm{cm} \) radius


The nonzero real value of \( x \) for which \( \frac{(1+i x)(1+2 i x)}{1-i x} \) is purely real is
This question has multiple correct options
\( A \cdot \sqrt{2} \)
B.
c. \( -\sqrt{2} \)
D. none of these


Value of \( x \) at which \( g(x) \) becomes zero
is
\( A \)
\( B \)
\( c \)
\( D \)


In an experiment of single slit diffraction pattern, first minimum for red light coincides with first maximum
of some other wavelength. If wavelength
of red light is \( 6000 A^{\circ} \), then wavelength
of first maximum will be
A \( .3000 A^{\circ} \)
B . \( 4000 A^{\circ} \)
c. \( 5000 A^{\circ} \)
D. \( 6000 A^{\circ} \)


Assertion
Sometime, a crackling sound is heard
while taking off sweater during winters.
Reason
This is due to static electric charges.
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


An alternating e.m.f. of \( \boldsymbol{E}= \) \( 100 \sin (100 \pi t) \) is connected to a choke of negligible resistance and current oscillations of amplitude 1 A
are produced. The inductance of the choke should be
\( \mathbf{A} \cdot 100 H \)
в. \( \frac{1}{\pi} H \)
c. \( 1 H \)
D. \( \pi H \)


Scalar are quantity that are describe by
A. Direction
B. Magnitude and direction
c. Magnitude
D. Motion


Which of the following are fissile isotopes?

This question has multiple correct options
A \( \cdot \frac{238}{92} U \)
В \( \cdot \frac{233}{92} U \)
\( \mathbf{c} \cdot_{94}^{239} \mathrm{Pu} \)
D \( \cdot \frac{203}{90} \mathrm{Th} \)


State whether given statement is True or False.

Charges are incapable of passing from clouds to lightning rod.
A. True
B. False


Evaluate : \( \quad \operatorname{lit}_{x \rightarrow 3} \frac{|x-3|}{x-3} \)


Why are the "deflections caused by an
aluminum foil less than that of gold foil
in an \( \alpha \) -ray scattering experiment. Can these deflections be changed by
changing the kinetic energy of \( \alpha \) particles".


In which of the following compounds, nitrogen cannotbe tested by Lassaigne's test?
A. \( C H_{3} C O N H_{2} \)
B. \( N H_{2} . N H_{2} . H_{2} O \)
c. \( C_{6} H_{5} N H_{2} \)
D. \( C_{6} H_{5} N O_{2} \)


Compare the chemistry of the actinoids with that of lanthanoids with reference
to:
(i) electronic configuration (ii) oxidation states and (iii) chemical
reactivity


Which metal is used to make alloy steel for armour plates, safes and helmets?
\( A \cdot A \)
в. мп
c. \( \mathrm{cr} \)
D. Pb


One dyne is equal to:
A \( \cdot 9^{5} \) newton
B. \( 10^{-6} \) newton
c. \( 10^{6} \) newton
D. \( 10^{5} \) newton


A river \( 400 m \) wide is flowing at a rate of
\( 2.0 m / s . A \) boat is sailing at a velocity of \( 10 m / s \) with respect to the water, in a direction perpendicular to the river. \( (\boldsymbol{a}) \) Find the time taken by the boat to reach the opposite bank.
(b) How far from the
point directly opposite to the starting point does the boat reach the opposite bank?


The quantity of charge (in Faraday)
required to electrolyse \( 54 \mathrm{g} \mathrm{H}_{2} \mathrm{O} \) is :


A button cell used in watches functions
as following:
\( \boldsymbol{Z n}(s)+\boldsymbol{A g}_{2} \boldsymbol{O}(s)+\boldsymbol{H}_{2} \boldsymbol{O}(l) \rightleftharpoons \)
\( 2 A g(s)+Z n^{2+}(a q)+2 O H^{-}(a q) \)
f half cell potentials are: \( Z n^{2+}(a q)+ \)
\( 2 e \rightarrow Z n(s) ; E^{0}=-0.76 V \)
\( A g_{2} O(s)+H_{2} O(l) 2 e \rightarrow 2 A g(s)+ \)
\( \mathbf{2} \boldsymbol{O} \boldsymbol{H}^{-}(\boldsymbol{a} \boldsymbol{q}), \boldsymbol{E}^{0}=\mathbf{0} . \boldsymbol{3} \mathbf{4} \boldsymbol{V} \)
The cell potential will be:
A . \( 1.10 V \)
B. \( 0.42 V \)
c. \( 0.84 V \)
D. \( 1.34 V \)


Which of the following is not a reason
for using woolen clothes in Winter?
A. Wool is an insulator of heat.
B. It traps a layer of air in its fabric.
C. Air being an insulator doesn't allow body heat to escape into the atmosphere.
D. All the above


Vapour pressure of water is \( 360 \mathrm{mm} \mathrm{Hg} \) how much urea should be added to 200
ml. water to reduce its vapour pressure by \( 0.5 \% ?(\text { Molecular weight of urea }=60) \)


Name : The image which cannot be
obtained on the screen
This question has multiple correct options
A. Virtual image
B. Erect Image
c. Real Image
D. Inverted Image


The number of spherical nodes in \( 3 p \) orbital is/are:


Ar a selection, the probability of
selection of \( A \) is \( \frac{1}{7} \) and that of 8 is \( \frac{1}{5} . \) If \( A \)
and \( B \) are independent events, then the
probability that neither of them would
be selected is ?


Four similar charges each of magnitude
\( Q \) are placed at the four comers of a
square of side 'a'. The intensity of the
electric field at the intersection of the
diagonal is
A. 0
в. \( \frac{Q}{4 \pi \varepsilon_{0} a^{2}} \)
c. \( \frac{4 Q}{4 \pi \varepsilon_{0} a^{2}} \)
D. \( \frac{Q}{8 \pi \varepsilon_{0} a^{2}} \)


A dilute aqueous solution of sodium fluoride is electrolyzed, the products at the anode and cathode are:
A. \( O_{2}, H_{2} \)
в. \( F_{2}, \) Na
\( c \cdot O_{2}, N a \)
D. \( F_{2}, H_{2} \)


\( A \) and \( B \) two events such that \( P(A \cap \)
\( \left.\boldsymbol{B}^{\prime}\right)=\mathbf{0 . 2 0}, \boldsymbol{P}\left(\boldsymbol{A}^{\prime} \cap \boldsymbol{B}\right)=\mathbf{0 . 1 5}, \) and
\( \boldsymbol{P}\left(\boldsymbol{A}^{\prime} \cap \boldsymbol{B}^{\prime}\right)=\mathbf{0 . 1 0}, \) then \( \boldsymbol{p}(\boldsymbol{A} / \boldsymbol{B}) \) is
This question has multiple correct options
\( ^{\mathbf{A}} \cdot P(A \mid B)=\frac{2}{5} \)
в. \( P(A)=0.3 \)
c. \( P(A \cup B)=0.45 \)
D. \( P(B \mid A)=\frac{1}{3} \)


If \( \vec{a} \) is vector of magnitude \( x, m \) is nonzero scalar and \( m \vec{a} \) is a unit vector
then \( x \) in terms of \( \mathrm{m} \) is:
\( \mathbf{A} \cdot m=x \)
в. \( x=|m| \)
c. \( x=\frac{1}{|m|} \)
D. \( x=m / 2 \)


The total number of local maxima and
local minima of the function \( \boldsymbol{f}(\boldsymbol{x})= \) \( \left\{\begin{array}{cc}(2+x)^{3}, & -3<x \leq-1 \\ x^{2 / 3}, & -1<x<2\end{array}\right. \)
\( A \cdot O \)
B.
\( c \cdot 2 \)
\( D \)


What mass of an organic compound
\( \left(M w_{0}=156\right) \) must be dissolved in 50
\( \mathrm{mL} \) of an organic solvent \( \left(\boldsymbol{d}=\mathbf{0 . 9 g c c}^{-1}\right) \)
water to lower the freezing point by \( 0.48^{\circ} \mathrm{C} . K_{f} \) of benzene \( =5.12 \)


B is said to be a skew symmetric
matrix, if
A. \( B^{T}=B \)
B. B = 0
\( c \cdot B=-B \)
D. \( B^{T}=-B \)


When caustic soda is manufactured
from sea water, one of the important by-
products is:
A . potash
B. chlorine
c. chromium
D. fertilizer


Indian cricket team won 4
more matches than it lost with New Zealand. If it won \( \frac{3}{5} \) of its matches, how many matches did India
play?
A . 8
B. 12
c. 16
D. 20


If \( |z|=\max \{|z-1|,|z+1|\} \) then
A \( \cdot|z+\bar{z}|=\frac{1}{2} \)
B. \( z+\bar{z}=1 \)
c. \( |z+\bar{z}|=1 \)
D. None of these


An unlabeled analog clock is kept in
front of mirror. Actual time on clock is 3
What is time in the mirror image?
\( A \cdot 3 \)
B. 9
c. 6.15
D. 9.30


If \( \alpha \) and \( \beta \) are zeroes of the polynomial \( 2 x^{2}+3 x+7 . \) Find a quadratic
polynomial whose zeroes are \( \frac{1}{\alpha^{2}} \& \frac{1}{\beta^{2}} \)
A \( \cdot 49 x^{2}+18 x+4 \)
B . \( 49 x^{2}-18 x+4 \)
c. \( 49 x^{2}-23 x-4 \)
D. \( 49 x^{2}-21 x+4 \)


Q Type your question-
uniformly distributed over its
circumference is hanging by a
insulated thread with the help of a
small smooth ring (not rigidly fixed with bigger ring). A time varying magnetic
field \( B=B_{0} \sin \omega t \) is switched on at \( t \)
\( =0 \) and the ring is released at the
same time.The average magnetic
moment of Ring in time interval 0 to
is
A \( \cdot \frac{B_{0} q^{2} R^{2}}{2 \pi m} \)
B. \( \frac{B_{0} q^{2} R^{2}}{4 \pi m} \)
c. \( \frac{B_{0} q^{2} R^{2}}{\pi m} \)
D. zer


locate the point representing the
complex numbers \( z \) on the Argand diagram for which
\( |z| \geq 3 \)


The first enzyme isolated in crystalline
form was
A . Catalase
B. Urease
c. Peroxidase
D. Amylase


The arithmetic mean of first five natural
number is
A . 2
B. 3
\( c \cdot 4 \)
\( D \)


Thermoflasks and doors of refrigerators
have two layered structure with an
insulator in between so as:
B. not to let heat flow through it
c. to make it stronger


Which of the following is anhydride of
\( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} ? \)
A . \( N O \)
B. \( N_{2} O_{3} \)
c. \( N_{2} O_{5} \)
D. \( N O_{2} \)


How many equally stable resonating
structures are possible for tropylium cation?
A .2
B. 4
\( c .5 \)
D. 7


Which waves are used in sonography?
A. Microwaves
B. Infrared rays
c. Radio waves
D. Ultrasonic waves


In which furnace the smelting is done?


Solve the inequalities for real \( x \) \( \mathbf{2}(\mathbf{2} \boldsymbol{x}+\mathbf{3})-\mathbf{1 0}<\mathbf{6}(\boldsymbol{x}-\mathbf{2}) \)


If \( y=\tan ^{-1}\left(\frac{2 x}{1-x^{2}}\right)+ \)
\( \tan ^{-1}\left(\frac{3 x-x^{3}}{1-3 x^{2}}\right) \)
\( \tan ^{1}\left(\frac{4 x-4 x^{3}}{1-6 x^{2}+x^{4}}\right) \) then Show that
\( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\mathbf{1}}{\mathbf{1}+\boldsymbol{x}^{2}} \)


The tangent drawn at the end point of two pependicular diameter of a circle. prove that \( \mathrm{PQ} \) and \( \mathrm{RS} \) are parallel


There are \( 6 \% \) defective items in a large
bulk of items. Probability that a sample of 8 items will include not more than
one defective items is \( 1.42 \times(0.94)^{x} \)
What is the value of \( x \)


Magnetic flux linked with a coil is \( \phi= \) \( 5 t^{2}+2 t+3, \) where \( t \) is second and \( \phi \) is
in weber. At time \( t=1 \) s, the value of induced emf is volt
A . 14
B. 1.
c. 12
D. 6


Which can show linkage isomerism?
\( \mathbf{A} \cdot\left[\operatorname{Cr}\left(H_{2} O\right)_{5} C l\right] C l_{2} \)
в. \( \left[C r\left(H_{2} O\right)_{6}\right] C l_{3} \)
\( \mathbf{c} \cdot\left[C o\left(N H_{3}\right)_{5}(C N)\right] C l_{2} \)
D. \( \left[\operatorname{Co}\left(N H_{3}\right)_{5} S O_{4}\right] B r \)


A rocking chair is an example of
A. Periodic motion
B. Translatory motion
c. Rotatory motion
D. None of the above


Find the eccentricity, foci, length of the Latus rectum and the equations of directrices of the ellipse \( 9 x^{2}+16 y^{2}= \)
\( \mathbf{1 4 4} \)


Nitrogen can be purified from the impurities of oxides of nitrogen and ammonia by passing through:
A. concentrated \( H C l \)
B. alkaline solution of pyrogallol
c. a solution of \( \mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7} \) with \( \mathrm{H}_{2} \mathrm{SO}_{4} \)
D. a solution of \( K O H \)


Electric charges -q, -q, -q and 3q are
placed at the corners of a square ABCD
of length/as shown in figure. The magnitude of electric dipole moment of
the system is
\( A \cdot \sqrt{2 q} \)
B. 9
\( c \cdot 2 q \)
D. \( 2 \sqrt{2} q l \)


Correct order of resistivity of materials
\( \operatorname{at} 20^{\circ} C: \)
A. Conductors \( \rightarrow \) Insulators \( \rightarrow \) Alloys
B. Alloys \( \rightarrow \) Insulators \( \rightarrow \) Conductors
c. Alloys \( \rightarrow \) conductors \( \rightarrow \) Insulators
D. conductors \( \rightarrow \) Alloys \( \rightarrow \) Insulators


The number of turns in the primary coil
of a transformer is 200 and the number
turns in the secondary coil is 10 If 240 volt a.c is applied to the primary the output from seconsry will be:
A . 48 v
B. 24
c. \( 12 \mathrm{v} \)
\( D \cdot 6 v \)


The rainfall ( in \( \mathrm{mm} \) ) in a city on 7 days
of a certain week was recorded as
follows:
Days Mon Tue Wed Thurs
Rainfall
2.2
i) Find the range of the rainfall in the
above data.


There are 4 cards numbered 1,3,5 and
\( 7, \) one number on one card. Two cards
are drawn at random without
replacement. Let \( X \) denote the sum of the numbers on the two drawn cards. Find the mean and variance of \( \boldsymbol{X} \)


The process which removes volatile
impurities from calamine is called calcination.
A. True
B. False


If a line has direction ratios 2,-1,-2 determine its direction cosines.
A \( \cdot \frac{1}{3},-\frac{1}{3},-\frac{1}{3} \)
B \( \cdot_{3,-\frac{1}{3},-2} \)
c. \( \frac{2}{3},-\frac{1}{3},-\frac{2}{3} \)
D. \( 2,-\frac{1}{3},-\frac{2}{3} \)


Which of the following fraction of coal tar distillation is obtained at \( 270^{\circ}- \)
\( 360^{\circ} \mathrm{C} ? \)
A. Light Oil
B. Middle oil
c. Green Oil
D. All of the above


An inductor and a resistor are
connected to an ac supply of \( 50 V \) and
\( \mathbf{5 0} \boldsymbol{H} \boldsymbol{z} . \) If the voltage across the resistor
is \( 40 V \) the voltage across the inductor
will be:
A . \( 10 V \)
в. \( 20 V \)
\( c .30 V \)
D. \( 60 V \)


Neutron decay in the free space is given
as follows:
\( \mathbf{o} \boldsymbol{n}^{\mathbf{1}} \rightarrow_{\mathbf{1}} \boldsymbol{H}^{\mathbf{1}}+_{-\mathbf{1}} \boldsymbol{e}^{\mathbf{0}}+[\mathbf{j}] \)
Then, the parenthesis represents
A. photon
B. graviton
c. neutrino
D. antineutrino


(i) Write the structural formula of
acetic acid.
(ii) Write the electron dot structure of
ethane.
(iii) Explain odd atom by an example.
(iv) Select unsaturated hydrocarbon in
\( \boldsymbol{C}_{2} \boldsymbol{H}_{6}, \boldsymbol{C}_{3} \boldsymbol{H}_{4}, \boldsymbol{C}_{3} \boldsymbol{H}_{8} \) and \( \boldsymbol{C}_{2} \boldsymbol{H}_{4} \)
(v) Write a difference between soap and
detergents.


Cards marked with number 2 to 101 are
placed in a box and mixed thoroughly. One card is drawn from this box. Find
the probability that the number of the card is an even number


Sl unit of \( G \) is \( N m^{2} k g^{-2} . \) Which of the following can also be used as the Sl unit
of G?
A \( \cdot m^{3} k g^{-1} s^{-2} \)
B . \( m^{2} k g^{-2} s^{-1} \)
c. \( m k g^{-3} s^{-1} \)
D. \( m^{2} k g^{-3} s^{-2} \)


Match the columns
\( \begin{array}{llll} & \text { । } & \text { I } & \\ \text { a } & \text { Aerobic } & \text { I } & \text { Frankia } \\ \text { b } & \text { Cyanobacteria } & 2 . & \text { Azospirilum } \\ \text { c. } & \text { Casuarina } & 3 . & \text { Clostridum } \\ \text { d. } & \text { Tropical grasses } & 4 . & \text { Aulosira } \\ & & 5 . & \text { Azotobacter }\end{array} \)
\( \mathbf{A} \)
\( a-4, b-3, c-2, d-1 \)
B. \( a-5, b-3, c-4, d-1 \)
c. \( a-5, b-4, c-1, d-2 \)
D. \( a-3, b-5, c-4, d-2 \)
E \( . a-2, b-1, c-3, d-5 \)


Emulsions of polyvinyl acetate are used
in:
A. polishes
B. latex paints
c. fireworks
D. rayons


toppr \( t \)
Q Type your question-
\( \sqrt{1} \cdot \frac{1}{2} \)
\( A \)
\begin{tabular}{|c|c|c|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{Y} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{0} \) & \( \mathbf{0} \) \\
\( \mathbf{1} \) & \( \mathbf{0} \) & \( \mathbf{0} \) \\
\( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{0} \) \\
\( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\hline
\end{tabular}
в. \begin{tabular}{|c|c|c|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{Y} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{0} \) & \( \mathbf{0} \) \\
\( \mathbf{1} \) & \( \mathbf{0} \) & \( \mathbf{1} \) \\
\( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\hline
\end{tabular}
\( c \)
\begin{tabular}{|c|c|c|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{Y} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{0} \) & \( \mathbf{1} \) \\
\( \mathbf{1} \) & \( \mathbf{0} \) & \( \mathbf{0} \) \\
\( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{0} \) \\
\( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{0} \) \\
\hline
\end{tabular}
D. \begin{tabular}{|c|c|c|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{Y} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{0} \) & \( \mathbf{1} \) \\
\( \mathbf{1} \) & \( \mathbf{0} \) & \( \mathbf{1} \) \\
\( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{0} \) \\
\hline
\end{tabular}


What is a fuse ? How does it work?


Give two examples of bio-degradable polymers?


In the extraction of \( \mathrm{Cu} \), the reaction
takes place in bessemer converter is:
This question has multiple correct options
A \( \cdot 2 C u_{2} O+C u_{2} S \rightarrow 6 C u+S O_{2} \)
в. \( 2 C u F e S_{2}+O_{2} \rightarrow C u_{2} S+F e S+S O_{2} \)
c. \( 2 C u_{2} S+3 O_{2} \rightarrow 2 C u_{2} O+2 S O_{2} \)
D. 2 FeS\( +30_{2} \rightarrow 2 \)Fe\( O+2 \)SO\( _{2} \)


Ine aata glven In the table snows species richness of mosses, shrubs and trees calculated for one hectare
\( \left(10,000 m^{2}\right) \) of land every 50 years for
200 years based on a long running
ecological study. According to the data natural disaster
occurred during which time period?
\( \begin{array}{llll}\text { Year } & \text { Mosses } & \text { Shrubs } & \text { Trees } \\ 1800 & 16 & 2 & 0 \\ 1850 & 21 & 7 & 4 \\ 1900 & 10 & 5 & 3 \\ 1950 & 13 & 12 & 6 \\ 2000 & 17 & 28 & 14\end{array} \)
A . \( 1750-1800 \)
B. 1800-1850
c. \( 1850-1900 \)
D. 1900-1950
E \( 1950-2000 \)


In the reaction \( \boldsymbol{H}_{2} \boldsymbol{O}_{2}+\boldsymbol{2} \boldsymbol{K} \boldsymbol{I}+\boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
\( \rightleftharpoons 2 H_{2} O+I_{2}+K_{2} S O_{4}, \) the
concentration of lodine changes from 0
to \( 20^{-5} \) mol \( L^{-1} \) in 10 secs. Find the
average rate of the reaction.
A \( \cdot 20^{-7} \) molL \( ^{-1} \) sec \( ^{-1} \)
B. \( 20^{-4} \)mol\( L^{-1} \)sec\( ^{-1} \)
c. \( 20^{-5} \) molL \( ^{-1} \) sec \( ^{-1} \)
D. \( 20^{-6} \)molL\( ^{-1} \)sec\( ^{-1} \)


What will be the metabolic fate of
pyruvic acid in absence of \( O_{2}: \)
A. Partial oxidation will take place
B. Complete oxidation
c. Utilisation for reoxidation of NADH
D. Dependent on energy needd


Solve the following differential eqauton
\( \boldsymbol{y}^{2} \boldsymbol{d} \boldsymbol{y}-\boldsymbol{x}^{2} \boldsymbol{d} \boldsymbol{x}=\mathbf{0} \)


The stem and leaves of the plant grow
upwards, away from the soil, is an example of
A. Negative geotropism
B. Positive geotropism
c. Negative phototropism
D. Positive hydrotropism
E. Negative hydrotropism


Differentiate w.r.t.x: \( \left(\frac{\sin x+\cos x}{\sin x-\cos x}\right) \)


\( \boldsymbol{P} \boldsymbol{Q} \boldsymbol{R} \boldsymbol{C} \) parallelogram, \( \boldsymbol{Q} \boldsymbol{M} \) is the
height form \( Q \) to \( R C \) and \( Q N \) is the
height from \( Q \) to \( P S \). If \( R C=12 \mathrm{cm} \)
and \( \boldsymbol{Q} \boldsymbol{M}=\mathbf{7 . 6 c m} . \) Find
(a) the area of the parallegram \( P Q R C \)
\( (b) Q N \) if \( P S=8 c m \)


Which of the following explains heat transfer by convection?
A. When a substance is heated, molecules absorb heat energy and vibrate. When neighbouring molecules collide, energy is transmitted through the material.
B. When a substance is heated, molecules absorb heat energy and substance expands. Due to this, density of heated molecules decreases and so they rise upwards taking the heat energy along with them
C. Heat radiation is transmitted with the help of waves.
D. None of the above


A hole is:
A. a positively charged electron
B. an electron in valence band
c. an unfilled covalent bond
D. an excess electron in covalent bond


The perimeter of a rectangular sheet is \( 100 \mathrm{cm} . \) If the length is \( 35 \mathrm{cm}, \) find its breath Also find the area.


Which of the following are APs ? If they form an AP, find the common difference
\( d \) and write three more terms.
(i) \( 2,4,8,16, \dots \)
(ii) \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
(iii) \( -1.2,-3.2,-5.2,-7.2, \dots \)
\( (i v)-10,-6,-2,2, \dots \)
\( (v) 3,3+\sqrt{2}, 3+2 \sqrt{2}, 3+3 \sqrt{2} \)
(vi) \( 0.2,0.22,0.222,0.2222, \ldots \)
\( (v i i) 0,-4,-8,-12, \dots \)
\( (\text { viii })-\frac{1}{2},-\frac{1}{2},-\frac{1}{2},-\frac{1}{2}, \dots \)
\( (i x) 1,3,9,27 \)
\( (x) a, 2 a, 3 a, 4 a, \dots \)
\( (x i) a, a^{2}, a^{3}, a^{4}, \dots \)
\( (x i i) \sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32}, \dots \)
\( (x \text { iii }) \sqrt{3}, \sqrt{6}, \sqrt{9}, \sqrt{12}, \dots \)
\( (x i v) 1^{2}, 3^{2}, 5^{2}, 7^{2}, . . \)
\( (x v) 1^{2}, 5^{2}, 7^{2}, 73, \dots \)


In the above problem, what is the
acceleration of the cart at this instant?
A \( \cdot 1.6 m / s^{2} \)
В \( \cdot 1 m / s^{2} \)
c. \( 0.64 m / s^{2} \)
D. \( 0.16 m / s^{2} \)


When a drop of an unknown solution is
placed on a strip of \( p H \) paper, a deep red colour is produced. This sample should be which one of the following?
A. \( N a O H \)
в. НС l
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{O} \)
D. \( C H_{3} \) СООН


Find the location of charge on the
conducting shell.
\( \mathbf{A} \cdot+2 Q \) on the inner surface at \( r=a, Q \) on the outer
surface of the conductor at \( r=b \)
B. \( -2 Q \) on the inner surface at \( r=a, Q \) on the outer
surface of the conductor at \( r=b \)
C. \( +2 Q \) on the inner surface at \( r=a, 3 Q \) on the outer
surface of the conductor at \( r=b \)
D. \( -2 Q \) on the inner surface at \( r=a, 3 Q \) on the outer
surface of the conductor at \( r=b \)


Among the halides, (i) \( -B C l_{3}, \) (ii)
\( -A l C l_{3}(\text { iii })-G a C l_{3}(\text { iv })-T l C l_{3} . \) The
order of lewis acidic nature is :
\( A \cdot(i)>(\text { ii })>(\text { iii })>(i v) \)
B. (ii) > (i) > (iii) > (iv)
c. (iv) \( > \) (iii) > (ii) > (i)
D. (iv) > (i) > (ii) > (iii


\( \ln F e C r_{2} O_{4}, \) the oxidation number of \( f e \)
and Cr are:
\( A \cdot+2 \) and +3
B. 0 and +2
\( c \cdot+2 \) and +6
D. 2 and


The displacement of the medium in a sound wave is given by the equation
\( \boldsymbol{y}_{1}=\boldsymbol{A} \cos (\boldsymbol{a} \boldsymbol{x}+\boldsymbol{b} \boldsymbol{t}) \) where ,a and b are
positive constants. The wave is reflected by an obstacle situated at
\( x=0 . \) The intensity of the reflected
wave is 0.64 times that of the incident
wave. Then, the wavelength ond frequency of the incident wave are
A \( . a, b \)
в. \( 2 \pi a, 2 \pi b \)
c \( .2 \pi / a, 2 \pi / b \)
D. \( 2 \pi / a, b / 2 \pi \)


topp \( E \)
\( Q \) туре уочт чuestion
4
(1)
B.
(2)
\( c \)
(3)
\( D \)
(4)


Find all functions \( f(x) \) defined on \( \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \) with real values and has a
primitive \( F(x) \) such that \( f(x)+ \) \( \cos x \cdot F(x)=\frac{\sin 2 x}{(1+\sin x)^{2}} . \) Then find
\( f(x) \)
A \( \cdot f(x)=-\frac{2 \cos x}{(1+\sin x)^{2}}-C e^{-\cos x} \cdot \sin x \)
B. \( f(x)=-\frac{2 \cos x}{(1+\sin x)^{2}}-C e^{-\sin x} \cdot \cos x \)
C \( \quad f(x)=-\frac{2 \cos x}{(1+\cos x)^{2}}-C e^{\sin x} \cdot \sin x \)
D. \( f(x)=-\frac{2 \cos x}{(1+\sin x)^{2}}-C e^{\cos x} \cdot \cos x \)


Which of the given structures of cyanobacteria has functional resemblance with the chloroplast?
A. Lamellasome
B. Plasma membrane
c. Ribosome
D. Chromatophore


\( C l_{2} \) gas acts as powerful oxidizing
agent. Give reason.


HOPE is a parallelogram as shown in
the given figure. The value of \( y \) is
\( \mathbf{A} \cdot 21^{\circ} \)
B . \( 14^{\circ} \)
\( c \cdot 35^{\circ} \)
\( D \cdot 27 \)


ff \( y=x^{x} \), prove that \( \frac{d^{2} y}{d x^{2}}-\frac{1}{y}\left(\frac{d y}{d x}\right)^{2} \)
\( \frac{\boldsymbol{y}}{\boldsymbol{x}}=\mathbf{0} \)


If a battery of \( 1.6 V \) is connected to Daniel cell, current flows:
A. into the cell
B. out of the cell
c. neither in nor out of the cell
D. both ways


Select the correct statement about
carbonium ion, \( \stackrel{\oplus}{C} \boldsymbol{H}_{\mathbf{5}} \)
A. This cation shares eight electrons among five bonds
B. There is no empty orbital
C. It is not electron deficient
D. All the above are correct statements


Find the correct Standard Deviation:
A . 5.24
в. 4.93
\( c .5 .01 \)
D. None of the above


Let \( R=\left\{\left(a, a^{3}\right): a \) is a prime number \right.
less than \( 10\} \). Find dom(R).


The area enclosed by the curves \( y= \)
\( \sin x+\cos x \) and \( y=|\cos x-\sin x| \) over
the interval \( \left[\mathbf{0}, \frac{\pi}{2}\right] \) is
A. \( 4(\sqrt{2}-1) \)
B. \( 2 \sqrt{2}(\sqrt{2}-1) \)
c. \( 2(\sqrt{2}+1) \)
D. \( 2 \sqrt{2}(\sqrt{2}+1) \)


Why are highly electro-positive metals used in electro-metallurgy?
A. Their compounds are highly stable.
B. They do not decompose on heating to give metals.
c. They cannot be reduced by reducing agents
D. All of the above.


Fill in the blank.
type of reproduction occurs
in Hydra.
A. Binary fission
B. Multiple fission
c. Budding
D. Fragmentation


State True or False.
The observed pressure of a real gas is more than the ideal pressure
A. True
B. False


Subtract \( 1.5 \times 10^{3} \) from \( 4.8 \times 10^{4} \) with
due regard to significant figures.
A. \( 4.6 \times 10^{4} \)
B. \( 4.6 \times 10^{5} \)
c. \( 4.6 \times 10^{6} \)
D. \( 5 \times 10^{4} \)


Find a vector of magnitude 4 units which is parallel to the vector \( \sqrt{\mathbf{3}} \hat{\mathbf{i}} \)


If \( \sqrt{1-x^{2}}+\sqrt{1-y^{2}}=a(x-y) \) then
show that \( \frac{d y}{d x}=\sqrt{\frac{1-y^{2}}{1-x^{2}}} \)


In the product \( B A \times B 3=57 A \), what
are the respective positional values of \( \mathrm{B} \) and A?
\( A \cdot 6,7 \)
B. 5, 2
\( c \cdot 7,4 \)
D. 2, 5


The velocity with which it must be projected is \( \sqrt{\frac{2 n g R}{n+1}}, \) where \( R \) is the radius of the earth and \( m \) the mass of
body.


Find the greatest and the least values of the following function:
\( f(x)=\cos 3 x-15 \cos x+8 \) where
\( \boldsymbol{x} \epsilon\left[\frac{\boldsymbol{\pi}}{\mathbf{3}}, \frac{\boldsymbol{3} \boldsymbol{\pi}}{\boldsymbol{2}}\right] \)


The energy directly related to the speed of a moving body and its mass is:
A. Kinetic
B. Potential
c. solar
D. Electric


An aqueous solution containing \( \boldsymbol{H} \boldsymbol{g}_{2}^{2+}, \boldsymbol{H} \boldsymbol{g}^{2+}, \boldsymbol{P b}^{2+}, \boldsymbol{F} \boldsymbol{e}^{2+} \) is treated with
dil HCI. The cations that may be
precipitate are This question has multiple correct options
\( \mathbf{A} \cdot H g_{2}^{2+} \)
B. \( H g^{2+} \)
\( \mathrm{c} \cdot P b^{2} \)
D. \( F e^{2} \)


The force of gravity on a body of mass \( \mathrm{W} \) on the surface of the earth is
\( A \cdot w \)
в. \( w \times g \)
c. \( \frac{W}{g} \)
D. \( W \times g^{2} \)


Formation of calcium oxide and carbon
dioxide by heating limestone is an example of double decomposition reaction.
A. True
B. False


If \( \sin ^{2} m x+\cos ^{2} n y=a^{2} \) then \( \frac{d y}{d x}= \)
A. \( \frac{m \cdot \sin 2 m x}{n \cdot \sin 2 n y} \)
B. \( \frac{m \cdot \sin m x}{n \cdot \sin n x} \)
c. \( \frac{-m \cdot \cos 2 m x}{n \cdot \cos 2 n x} \)
D. \( \frac{n \cdot \sin 2 m x}{m \cdot \sin 2 n x} \)


All types of electromagnetic radiations
possess same:
A. wavelength
B. frequency
c. energy
D. velocity when passed through vacuum


Solve
\( 7 \sin ^{2} \theta+3 \cos ^{2} \theta=4 \)


t-buty \( \mid-C=C H-C_{\|}-O H \) can't
give decarboxylation while normally
\( \alpha-\beta \) unsaturated acid give this
reaction because:
A. t-butyl gp, has large size and does not let the \( C O O H \) group to leave.
B. t-butyl gp. can't extract \( H \) from \( C O O H \)
C. t-butyl gp. destabilise carbanion formed
D. t-buty gp, does not allow this composition to convert to \( \beta-\gamma \) unsaturated acid


What is the solution of \( (1+2 x) d y- \)
\( (1-2 y) d x=0 ? \)
A. \( x-y-2 x y=c \)
в. \( y-x-2 x y=c \)
c. \( y+x-2 x y=c \)
D. \( x+y+2 x y=c \)


If in the circuit shown in Fig. power dissipation is \( 150 \mathrm{W} \), then find the value of \( R(\text { in } \Omega) \)


A uniform disk rotating with constant
angular acceleration covers 50
revolutions in the first five seconds
after the start. Calculate the angular
acceleration and the angular velocity at the end of five seconds.


Evaluate the definite integral, \( \int_{-1}^{1} \frac{\left(x^{332}+x^{998}+4 x^{1668} \cdot \sin x^{691}\right)}{1+x^{666}} d x \)
A \( \cdot \frac{2}{333} \)
в. \( \frac{1}{333} \)
c. \( \frac{4}{33} \)
D. \( \frac{5}{333} \)


A ball of mass \( 0.2 \mathrm{kg} \) is thrown vertically upwards by applying a force by hand. If the hand moves \( 0.2 \mathrm{m} \) while applying
the force and the ball goes up to 2 in height further, find the magnitude of
the force. Consider \( g=10 m / s^{2} \)
\( A \cdot 16 N \)
B. 20 N
c. 22
D. \( 180 \mathrm{N} \)


When \( x^{3}-2 x^{2}+a x-b \) is divided by
\( x^{2}-2 x-3, \) the remainder is \( x-6 . \) The
values of \( a \) and \( b \) are respectively:
\( A \cdot-2 \) and -6
B. 2 and -6
c. -2 and 6
D. 2 and 6


The correct statement about the given
reaction is:
\( \mathbf{A} \cdot M e_{3} C-O M e \) with anhydrous \( H I \) gives this reaction
B. \( M e_{3} C-O M e \) with concentrated \( H I \) gives this
reaction
\( \mathbf{C} . \) Both \( A \) and \( \mathbf{B} \)
D. None of the above


In a polar covalent molecule, the shared
electrons are shifted towards the more
electronegative element.
A. True
B. False


The template for protein synthesis is
A. DNA
B. mRNA
c. rRNA
D. tRNA


The figure represents total period of one cardiac cycle ie 0.8 sec and \( A, B \) and \( C \)
represent its stages. Identify \( A, B \) and \( C \)
and select the correct statement
regarding them.
A. During A, tricuspid and bicuspid valves open and blood flows from atria into the ventricles.
B. During B, bicuspid and tricuspid valves close producing first heard sound
C. During C, the semilunar valves close producing second heart sound.
D. During B, the atria contract due to a wave of contraction by SA node.


A solution of \( (-)-2 \) -chloro- 2 phenylethane in toluene racemises slowly in the presence of a small
amount of \( S b C l_{5}, \) due to the formation
of:
A. Carbene
B. Carbocation
c. Free radical
D. Carbanion


Label the hydrophilic and hydrophobic parts in the following compounds.
(i) \( \boldsymbol{C H}_{3}\left(\boldsymbol{C H}_{2}\right)_{10} \boldsymbol{C H}_{2} \boldsymbol{O} \boldsymbol{S} \overline{\boldsymbol{O}_{3}} \stackrel{+}{\boldsymbol{N} \boldsymbol{a}} \)
(ii) \( \boldsymbol{C H}_{3}\left(\boldsymbol{C H}_{2}\right)_{15} \stackrel{+}{\boldsymbol{N}}\left(\boldsymbol{C H}_{3}\right)_{3} \overline{\boldsymbol{B}} \boldsymbol{r} \)
(iii)
\( \boldsymbol{C H}_{3}\left(\boldsymbol{C H}_{2}\right)_{16} \boldsymbol{C O O}\left(\boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{O}\right)_{n} \boldsymbol{C H}_{2} \boldsymbol{C} \)


What must be added to \( x^{3}-3 x^{2}- \)
\( 12 x+19 \) so that the result is exactly
divisible by \( x^{2}+x-6 ? \)
A \( .2 x-5 \)
B. \( 2 x+5 \)
c. \( -2 x-5 \)
D. \( x+5 \)


The electric potential at the surface of an atomic nucleus \( (z=50) \) of radius
\( 9.0 \times 10^{-13} \mathrm{cm} \) is:
A \( \cdot 9 \times 10^{5} \) volt
B. \( 8 \times 10^{6} \) volt
c. 80 volt
D. 9 volt


Two point charges \( +q \) and \( -q \) are held fixed at \( (-d, 0) \) and \( (d, 0) \) respectively of
a \( x-y \) coordinate system. Then:
A. The electric field \( \mathrm{E} \) at all points on the axis has the same direction
B. Work has to be done in bringing a test charge from \( \infty \) to the orgin
C. Electric field at all points on y-axis is along x-axis
D. The dipole moment is 2qd along the x-axis


What are the factors affecting electrophoresis?


\( \mathbf{a}=\left|\begin{array}{ccc}\cos \theta / 2 & 1 & 1 \\ 1 & \cos \theta / 2 & -\cos \theta / 2 \\ -\cos \theta / 2 & 1 & -1\end{array}\right| \)
If the minimun of \( \Delta \) is \( m_{1} \) and
maximum of \( \Delta \) is \( m_{2}, \) then \( \left[m_{1}, m_{2}\right] \) are
related
A. [-4,-2]
B. [2, 4]
\( c \cdot[-4,0] \)
D. [0, 2]


What is an a.c. generator or Dynamo
used for? Name the principle on which it
works.


Out of total water content, sea
constitutes
A . 97.5\%
B. 71\%
c. 81\%
D. 91.2\%


When a carbohydrate reacts with
\( N a B H_{4}, \) the product is an:
A. Alditol
B. Aldaric acid
c. Aldonic acid
D. Aglycone


The amount left after completion of average life period in a first order reaction is :
A \( \cdot \frac{a(e-1)}{e+1} \)
B. \( \frac{a}{e-1} \)
c. \( \frac{a(e-1)}{e} \)
D.


Find \( \frac{d y}{d x} \) if \( 3 x+4 y=9 \)


The total production during the months
of April, May and June of the three items
\( A, B \) and \( C \) are in the ratio:
\( A \cdot 7: 5: 7 \)
B. 7: 4: 4.5
\( \mathbf{c} \cdot 7: 4.5: 4 \)
D .4 .5: 6: 5 \)


Statement-1: Alcoholic fermentation
involves conversion of sugar into
ethanol by the action of yeast. Statement-2: Fermentation involves the
liberation of \( C O_{2} \) gas
A. Statement-1 is True, Statement-2 is True; statementis a correct explanation for statement- -
B. Statement-1 is True, Statement-2 is True; statementis NOT a correct explanation for statement-1
c. statement- - is True, statement-2 is False
D. Statement-1 is False, statement-2 is True


In the given Fischer Projection, which
group is oriented toward you?
A. Hydroxyl
B. Carboxylic
c. Ethyl
D. All of the above


The product of resistivity and conductivity of a cylindrical conductor depends on
A. Temperature
B. Material
c. Area of cross-section
D. None of the above


Name the following compounds according to IUPAC system of
nomenclature:
(i) \( \boldsymbol{C H}_{3} \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right) \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H O} \)
(ii)
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C O C H}\left(\boldsymbol{C}_{2} \boldsymbol{H}_{5}\right) \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C l} \)
(iii) \( \boldsymbol{C H}_{3} \boldsymbol{C H}=\boldsymbol{C H C H O} \)
(iv) \( \boldsymbol{C H}_{3} \boldsymbol{C O C H}_{2} \boldsymbol{C O C H}_{3} \)
\( (v) \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right) \boldsymbol{C H}_{2} \boldsymbol{C}\left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C O C H}_{3} \)
(vi) \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C C H}_{2} \boldsymbol{C O O H} \)
\( \left(\text { vii) } \boldsymbol{O} \boldsymbol{H} \boldsymbol{C} \boldsymbol{C}_{6} \boldsymbol{H}_{4} \boldsymbol{C H} \boldsymbol{O}-\boldsymbol{p}\right. \)


Evaluate :
\( \int \log x d x \)


If the angle between two lines is \( \frac{\pi}{4} \) and slope of one of lines is \( \frac{1}{2} . \) Find the slope of the other line.


Phosphorus normally exhibits a covalency of :
\( \mathbf{A} \cdot+3 \) and +5
B. +2 and +3
c. +1 and +2
D. +3 and +4


Define critical temperature of a gas.
Give its expression.


The ratio of density of nuclei of \( O^{16} \) and
\( C a^{40} \) is:
A . 1: 1
B. 1: 2
\( c \cdot 1: 3 \)
D. 1: 4


Simplification of \( \left(\frac{3}{5}\right)^{3} \times\left(\frac{15}{2}\right)^{3} \) is \( \frac{729}{8} \)
A. True
B. False


Reactive metals react with dilute \( H C l \)
to liberate:
A. water
B. hydrogen
c. carbon dioxide
D. oxygen


Phosphine, acetylene and ammonia can be formed by treating water with:
A. \( M g_{3} P_{2}, A l_{4} C_{3}, L i_{3} N \)
в. \( C a_{3} P_{2}, C a C_{2}, M g_{3} N_{2} \)
c. \( C a_{3} P_{2}, C a C_{2}, C a C N_{2} \)
D. \( C a_{3} P_{2}, M g_{2} C, N H_{4} N O_{3} \)


The dipole moment of a current loop is independent of
A. current in the loop
B. number of turns
c. area of the loop
D. magnetic field in which it is situated


Which of the following is not related to photorespiration?
A. Lysosome
B. Chloroplast
c. Peroxisome
D. Mitochondria


A child weighing 25 kg slides down a
rope hanging from a branch of a tall free. If the force of friction acting
against him is \( 200 N \), the acceleration
of child is \( \left(\boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} / \boldsymbol{s}^{2}\right) \)
A \( \cdot 22.5 \mathrm{m} / \mathrm{s}^{2} \)
B . \( 8 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 5 m / s^{2} \)
D. \( 2 m / s^{2} \)


How much work can be done by \( 250 c a l \)
of heat?
\( \mathbf{A} \cdot \mathbf{0} \)
в. 1045 erg
c. \( 1045 W \)
D. 1045 J


f \( x \) is real, then find the solution set of
\( \sqrt{x+1}+\sqrt{x-1}=1 \)


A man of mass \( 40 \mathrm{kg} \) is standing on a uniform plank of mass 60 kg lying on horizontal frictionless ice. The man
walks from one end to the other end of
the plank. the distance walked by the man relative to ice is (given length of plank=5m)
A \( .2 \mathrm{m} \)
B. 3 \( m \)
\( c \cdot 5 m \)
D. \( 4 \mathrm{m} \)


The value of
\( \frac{\tan ^{2} 60^{0}-2 \tan ^{2} 45^{0}+\sec ^{2} 30^{0}}{3 \sin ^{2} 45^{0} \sin 90^{0}+\cos ^{2} 60^{0} \cos ^{3} 0^{0}} \)
A \( \cdot \frac{49}{12} \)
B. \( \frac{7}{3} \)
c. \( \frac{14}{9} \)
D.


Resonance occurs in a series \( \boldsymbol{L} \boldsymbol{C} \boldsymbol{R} \)
circuit when the frequency of the
applied emf is \( 1000 H z \)

This question has multiple correct options
A. When frequency \( =900 \mathrm{Hz} \), then the current through
the voltage source will be ahead of emf of the source
B. The impedance of the circuit is minimum at \( f= \) \( 1000 \mathrm{Hz} \)
C. At only resonance the voltages across \( L \) and \( C \) differ in phase by \( 180^{\circ} \)
D. If the value of \( C \) is doubled, resonance occurs at \( f= \) \( 2000 \mathrm{Hz} \)


The standard reducation potentials of \( Z n^{2+}\left|Z n, C u^{2+}\right| C u \) and \( A g^{+} \mid A g \)
are respectively -0.76,0.34 and \( 0.8 \mathrm{V} \). The following cells were constructed.
a) \( Z n\left|Z n^{2+}\right|\left|C u^{2+}\right| C u \)
b) \( Z n\left|Z n^{2+} \| A g^{+}\right| A g \)
c) \( C u\left|C u^{2+}\right|\left|A g^{+}\right| A g \)
What is the correct order \( E_{\text {cell }}^{0} \) of these cells?
\( A \cdot \) b>c \( >a \)
B. b>a>c
\( c \cdot a>b>c \)
D. c>asb


Which of the above represents the formula for the most common
compound of \( A \) and \( B, \) where \( A \) and \( B \) represent given pairs of elements or polyatomic ions as indicated below?
A) \( B e \)
B) \( \boldsymbol{F} \)
\( \mathbf{A} \cdot A B \)
в. \( A B_{2} \)
c. \( A_{2} B \)
D. \( A B_{3} \)
E . \( A_{2} B_{3} \)


Assertion
A rocket moves forward by pushing the
surrounding air backwards.
Reason
It derives the necessary thrust to move forward according to Newton's third law of motion.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct


Which of the following is (are) property
of a diamond?
This question has multiple correct options
A. It is the hardest substance
B. has high refractive index
C. Like metals, it can conduct electricity
D. In diamond each \( \mathrm{C} \) is at the centre of tetrahedron


For a first order reaction, if \( \boldsymbol{K}_{\mathbf{1}}: \boldsymbol{K}_{\mathbf{2}}: \boldsymbol{K}_{\mathbf{3}} \)
is \( 1: 2: 3, \) then which of the following
statement(s) is/are incorrect? \( \left([\boldsymbol{A}]_{\mathbf{0}}=\right. \)
\( \mathbf{1} \boldsymbol{M}) \)
A. At time \( t_{\infty} \), [C] is \( 2 / 3 \) M.
B . \( [B]_{t}>[C]_{t} \)
C. When \( [A]_{t}=1 / 2 M, \) then \( [D]=1 M \)
D・ \( [A]_{t}+\frac{\left[B l_{t}\right.}{2}+\frac{[C]_{t}}{2}+\frac{\left[D_{l t}\right.}{4}=1 M \)


\( \lim _{x \rightarrow 1}\left\{-x-\frac{1}{x}\right\}, \) where \( \{.\} \) denotes the
fraction part function
\( A \). is equal to 1
B. is equal to 0
c. Does not exist
D. None of these


The last member of \( 4 n+1 \) series is an
isotope of lead.
A. True
B. False


Daniel cell can be represented in which of the following way?
A \( \cdot Z n_{(s)}\left|Z n_{(a q)}^{2+}\right|\left|C u_{(s)}\right| C u_{(a q)}^{2} \)
B. \( Z n_{(s)}\left|Z n_{(a q)}^{2+}\right|\left|C u_{(a q)}^{2+}\right| C u_{(s)} \)
c. \( C u_{(s)}\left|C u_{(a q)}^{2+}\right|\left|Z n_{(a q)}^{2+}\right| Z n_{(s)} \)
D. \( Z n_{(a q)}^{2+}\left|Z n_{(s)}\right|\left|C u_{(a q)}^{a+}\right| C u_{(s)} \)


A point \( A(p, q) \) is 2 units away from \( x- \)
axis and 5 units from \( y- \) axis. What
would be its coordinate?


The respiratory quotient during cellular respiration would depend on
A. The nature of enzymes involved
B. The nature of the substrate.
c. The amount of carbondioxide released.
D. The amount of oxygen utilized.


A large tank is filled with water (density
\( \rho \), upto height h. Water is coming out from section (4). Fluid pressure at
section (3) is:
(Given \( : A_{2}=A_{4}=2 A_{3} \) and
\( \boldsymbol{A}_{2}, \boldsymbol{A}_{3}, \boldsymbol{A}_{4}<<\boldsymbol{A}_{1} ; \) atmospheric
pressure \( =P_{0} . \) Assume water to be nonviscous and incompressible.
A. \( P_{0}+\rho g h \)
в. \( P_{0}-\rho g h \)
\( c \)
D. \( P_{0}-3 \rho g h \)


In the adjoining figure, name the
following pairs of angles.
Equal supplementary angles


In a n-p-n transistor, the collector current is \( 10 \mathrm{mA} \). If \( 10 \% \) of the electrons
are lost in the base, then the emitter current is:
A . \( 10 \mathrm{mA} \)
B. \( 0.9 \mathrm{mA} \)
c. \( 0.09 \mathrm{mA} \)
D. \( 11.1 \mathrm{m} \)


\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{4}-(\boldsymbol{6}-\boldsymbol{x})^{2 / 3} \) in \( [\mathbf{5}, \boldsymbol{7}] \)
A. Lagrange's theorem is applicable
B. Rolle's theorem is applicable
C. Lagrange's theorem is applicable but not the Roll's theorem
D. Both theorem are not applicable


Two particles of mass \( m \) each are tied
at the ends of a light string of length \( 2 a \)
The whole system is kept on a frictionless horizontal surface with the
string held tight so that each mass is at a distance \( a \) from the center \( P \) (as
shown in the figure). Now, the mid-point of the string is pulled vertically downwards with a small but constant
force \( F \). As a result, the particles move
towards each other on the surface. Find
the magnitude of acceleration, when the separation between them becomes
\( \mathbf{2} \boldsymbol{x} \)


Why red colour is given to signals to be viewed from a distance?


A particle performing periodic motion satisfies the equation:
\( \mathbf{A} \cdot f(t)=f(t)+T \)
B. \( f(t)=f(t)-T \)
c. \( f(t)=f(t+T) \)
D. None of the above


Choose the correct match from Column
'B' for Column 'A'.


Identify the substance underlined, in
each of the following cases:
The electrolyte used for electroplating an article with silver.


If there is an error of \( k \% \) in measuring the edge of a cube, then the percent error in estimating its volume is
\( A \cdot k \)
B. \( 3 k \)
\( c \cdot \frac{k}{3} \)
D. none of these


When the right ventricle contract the blood goes into
A. Aorta
B. Brain
c. Pulmonary artery
D. None


Bleaching of flowers by \( C l_{2} \) is
permanent while bleaching by \( S O_{2} \) is temporary. Why?


Which is lare false about electronegativity order of the following
elements ?
This question has multiple correct options
A \( . P>s i \)
в. \( C>N \)
c. \( C>B r \)
\( \mathbf{D} \cdot S e>C a \)


During electrophoresis of colloidal sol of \( \boldsymbol{F} \boldsymbol{e}(\boldsymbol{O} \boldsymbol{H})_{3}, \) the colloidal particles
A. Move towards anode and cathode both
B. Move towards cathode
c. Move towards anode
D. Do not move


What will be the radius of the circle
when the cord breaks?
A. \( 4.0 m \)
в. \( 1.0 m \)
\( c .3 .0 m \)
D. 2.0m


When the load on a wire is increasing slowly from 2 kg to 4 kg, the elongation increases from \( 0.6 \mathrm{mm} \) to \( 1 \mathrm{mm} \). The
work done during this extension of the
wire is \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
B . \( 0.4 \times 10^{-3} \) J
c. \( 8 \times 10^{-2} \) j
D. \( 10^{-3} \) 」


\( \boldsymbol{C H}_{3}-\boldsymbol{C H}=\boldsymbol{C H}_{2} \frac{\boldsymbol{B r}_{2}}{\Delta} \frac{\boldsymbol{M} \boldsymbol{g}}{\text {Dryether}} \)
\( \frac{\boldsymbol{C} \boldsymbol{H}_{3}-\stackrel{\boldsymbol{N}}{\boldsymbol{C}-\boldsymbol{C} \boldsymbol{H}_{3}}}{\boldsymbol{N H}_{4} \boldsymbol{C l}} \quad \frac{\boldsymbol{H}^{+}}{\boldsymbol{\Delta}} \quad(\boldsymbol{M} \boldsymbol{a} \boldsymbol{j} \boldsymbol{o} \boldsymbol{r}) \)
product of above reaction is:
\( \mathrm{A} \)
\( \mathrm{CH}_{2}=\mathrm{CH}-\mathrm{CH}_{2}-\mathrm{N}-\mathrm{CH}_{3} \)
B. \( H_{2} C=C H-C H=C_{C H_{3}}-C H_{3} \)
c.
\[
H_{2} C=C H-C H_{2}-\underbrace{C}_{\mid}^{O H}-C H_{3}
\]
D. \( H_{2} C=C H-C H_{2}-C_{\} C H-C H_{2}-O H \)


The side of a square field is 120 meters. The cost of preparing a grass lawn is Rs. 35 per square meter. How much will
it cost, if the entire field is converted into a lawn?
A . \( R s .404000 \)
B. \( R s .504000 \)
c. \( R s .506000 \)
D. Rs.500000


The frequency of oscillation of current in
the inductance is
A \( \cdot \frac{1}{3 \sqrt{L C}} \)
в. \( \frac{1}{6 \pi \sqrt{L C}} \)
c. \( \frac{1}{\sqrt{L C}} \)
D. \( \frac{1}{3 \pi \sqrt{L C}} \)


Why was there no zero four in the original Mendeleefs Periodic Table?


Check the correctness of the relation \( S_{n t h}=u+\frac{a}{2}(2 n-1), \) where \( u \) is
initial velocity, \( a \) is acceleration and
\( S_{n t h} \) is the distance travelled by the body
in \( n t h \) second


In the shown figure a current 2i is
flowing in a straight conductor and entering along the diameter of the
circular loop of similar conductor
through the point A. The current is leaving the loop along another similar
semi-infinite conductor parallel to the plane of the loop through the other opposite end D of the diameter.


If \( y=2^{2} 3^{2 x} 5^{-5} 7^{-5} \) then \( \frac{d y}{d x}= \)


Factorise :
\( z^{2}-\left(x^{2}-2 x y+y^{2}\right) \)


A certain vector in the xy-plane has an
x-component of \( 4 \mathrm{m} \) and a y-component of \( 10 \mathrm{m} . \) It is then rotated in the xy-plane so that its \( x \) -component is doubled Then, its new y-component is (approximately)
A. \( 20 \mathrm{m} \)
B. 7.2 \( m \)
c. \( 5.0 \mathrm{m} \)
D. \( 4.5 \mathrm{m} \)


A solid consisting of a right circular cone of height \( 120 \mathrm{cm} \) and radius
\( 60 \mathrm{cm} \) standing on a hemisphere of
radius \( 60 \mathrm{cm} \) is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the
volume of water left in the cylinder, (in
\( \left.m^{3}\right) \) if the radius of the cylinder is
\( 60 \mathrm{cm} \) and its height is \( 180 \mathrm{cm} ? \)


Fill in the blanks in the following:
(a) A person \( 1 \mathrm{m} \) in front of a plane mirror seems to be
from his image.
(b) If you touch your ear with
right hand in front of a plane mirror it will be seen in the mirror that your right
ear is touched with
(c) The size of the pupil becomes when you see in dim
light.
(d) Night birds have
cones than rods in their eyes.


Find the current through the \( 10 \Omega \)
resistor shown in figure:
\( \mathbf{A} \cdot 0.5 A \)
B. \( 1 A \)
\( c \cdot 2 A \)
D. \( 5 A \)


Using properties of determinants, prove
that
\[
\boldsymbol{\omega}\left|\begin{array}{ccc}
\boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z} \\
\boldsymbol{x}^{2} & \boldsymbol{y}^{2} & \boldsymbol{z}^{2} \\
\boldsymbol{y}+\boldsymbol{z} & \boldsymbol{z}+\boldsymbol{x} & \boldsymbol{x}+\boldsymbol{y}
\end{array}\right|=(\boldsymbol{x}-
\]
\( \boldsymbol{y})(\boldsymbol{y}-\boldsymbol{z})(\boldsymbol{z}-\boldsymbol{x})(\boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}) \)


Which of the following aqueous solutions will exhibit the highest boiling point?
A . \( 0.01 M \) urea
в. \( 0.01 M \) К \( N O_{3} \)
c. \( 0.01 M \) Na\( _{2} \) SO \( _{4} \),
D. \( 0.015 M C_{6} H_{12} O_{6} \)


Let the discrete random variable \( \boldsymbol{X}=\boldsymbol{x} \)
has the probabilities given by \( \frac{x}{6} \) for \( x= \)
\( 0,1,2,3, \) then its mean is
A \( \cdot \frac{1}{3} \)
в. \( \frac{5}{3} \)
\( c \cdot \frac{7}{3} \)
D. \( \frac{9}{3} \)


Solve:
\( \boldsymbol{I}=\int \frac{\boldsymbol{d} \boldsymbol{x}}{(\boldsymbol{x}+\mathbf{1}) \sqrt{\mathbf{1}-\boldsymbol{x}^{2}}} \)


Complete the following food chain with
the appropriate component Grass - grasshopper - .......... - snake


The approximate value of quantum number \( n \) for the circular orbit of
hydrogen 0.0001 mm diameter is
A. 1000
B. 60
c. 10000
D. 31


What is the speed of an electron whose
de Broglie wavelength is \( 0.1 n m ? \) By what potential difference, must have such an electron accelerated from an
initial speed zero?


The distance of a galaxy from Earth is of the order of \( 10^{25} \mathrm{m} \). Calculate the order
of magnitude of the time taken by light to reach us from the galaxy.


In a given transformer for a given applied voltage, losses which remain constant irrespective of load changes
are
A. friction and windage losses
B. copper losses
c. hysteresis and eddy current losses
D. none of the above


A charge \( q \) is released in presence of electric (E) and magnetic field (B) then
after some time its velocity is v then:-
\( A \cdot V \propto E \)
в. \( v \propto \frac{1}{E} \)
\( c \cdot V^{2} \propto E \)
D. \( V \propto B^{\circ} \)


Two players \( A \) and \( B \) toss a fair coin cyclically in the following order \( A, A, B, A, A, B, \ldots \) till a head shows. Let
\( \boldsymbol{\alpha}(\boldsymbol{\beta}) \) denote the probability that \( \boldsymbol{A}(\boldsymbol{B}) \)
gets the head first. Then
This question has multiple correct options
A \( \cdot \alpha=\frac{6}{7} \)
в. \( \alpha=\frac{5}{7} \)
c. \( _{\beta}=\frac{1}{7} \)
D. \( _{\beta}=\frac{2}{7} \)


A cuboid with equal length, breadth
and height is called a


In figure (ii) given below, \( \boldsymbol{A B} \| \boldsymbol{D} \boldsymbol{E} \) and
\( \boldsymbol{B} \boldsymbol{D} \| \boldsymbol{E} \boldsymbol{F} . \) Prove that \( \boldsymbol{D} \boldsymbol{C}^{2}=\boldsymbol{C} \boldsymbol{F} \times \boldsymbol{A} \boldsymbol{C} \)


\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}[\log (\sec \boldsymbol{x}-\tan \boldsymbol{x})] \) is equal to:
A . \( -\sec x \)
B. \( \sec x+\tan x \)
\( c . \sec x \)
D. \( \sec x-\tan x \)


(a) Write Faraday's second law of
electrolysis
(b) Draw labelled diagram of standard Hydrogen electrode


The integral of \( \int e^{x}(\sin x+\cos x) d x \) is
\( \mathbf{A} \cdot e^{x} \cos x+c \)
B \( \cdot e^{x} \sin x+c \)
\( \mathbf{c} \cdot e^{x} \sec x+c \)
D. none of this


Consider the following frequency distribution:
\( \begin{array}{lllll}\text { Class } & 0- & 6- & 12- & 1 \\ & 5 & 11 & 17 & 2\end{array} \)
Frequency 13 10 15
The upper limit of the median class is
A. 17
в. 17.5
c. 18
D. 18.5


The ultimate source of hydroelectric energy is:
A. potential energy of water
B. kinetic energy of water
c. solar energy
D. chemical energy


The molar conductance (in
\( \left.\mathbf{\Omega}^{-1} \boldsymbol{c m}^{2} \boldsymbol{m o l}^{-1}\right) \) of \( \boldsymbol{K}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) solution is:


Which of the following species has a linear shape?
A. \( N O_{2} \)
в. \( S O_{2} \)
c. \( N O_{2}^{+} \)
D. \( O_{2} \)


A dust particle has mass equal to \( 10^{-11} g, \) diameter \( 10^{-4} c m \) and velocity \( 10^{-4} \mathrm{cm} / \mathrm{s} . \) The error in measurement of
velocity is \( 0.1 \% . \) What will be the uncertainty in its position?
A \( \cdot 0.527 \times 10^{10} \mathrm{cm} \)
B. \( 5.27 \times 10^{9} \mathrm{cm} \)
c. \( 0.527 \times 10^{-15} \mathrm{cm} \)
D. \( 0.527 \times 10^{-9} \mathrm{cm} \)


Which of the following is capable of delaying yellowing of leaves?
A . Gibberellins
B. Cytokinins
c. АВА
D. Auxins


Select the incorrect statement.
A. Ribozymes are nucleic acids with catalytic power.
B. Nucleic acids serve as genetic material.
C. Proteins, nucleic acids and polysaccharides are the only three types of macromolecules found in the living system.
D. Collagen is the most abundant protein in the whole of the biosphere and RuBisCo is the most abundant protein in animal world.


Which one of the following is travelling with the fastest speed?
A. An athlete running with a speed of \( 10 \mathrm{m} / \mathrm{s} \)
B. A bicycle moving with a speed of 200 \( \mathrm{m} / \mathrm{min} \)
c. A tortoise covering 100 metres in 15 minutes
D. A motorcycle moving with a speed one km/h


A virtual image larger than the object can be produced by a :
This question has multiple correct options
A. concave lens
B. Concave mirror
c. Convex mirror
D. Convex lens


Blood from the left ventricle is pumped
to
A. Lungs
B. Left auricle
c. Right ventricle
D. All parts of the body


In each of the following state if the statement is true (T) or false (F):
An equilateral triangle is isosceles also.
A. True
B. False


\( C_{6} H_{6} C I_{6} C_{6} H_{6} C I_{6} \) on treatment with alcoholic KOHKOH yields.
\( \mathbf{A}: \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{6}} \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{6}} \)
\( \mathbf{B}: \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{3}} \boldsymbol{C} \boldsymbol{I}_{\mathbf{3}} \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{3}} \boldsymbol{C} \boldsymbol{I}_{\mathbf{3}} \)
\( \mathrm{c}:\left(C_{6} H_{6}\right) O H\left(C_{6} H_{6}\right) O H \)
\( \mathbf{D}: \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{6}} \boldsymbol{C} \boldsymbol{I}_{\mathbf{4}} \)


Arithmetic progression whose nth term
is \( 3 n-2 \) is
A \( .1,4,7,10 \ldots \)
в. \( 1,3,7,9 \ldots \)
c. \( 1,2,7,11 \ldots \)
D. \( 2,4,6,8 \dots \)


The potential at a point P due to an electric dipole is \( 1.8 \times 10^{5} V . \) If \( P \) is at a
distance of \( 50 \mathrm{cm} \) apart from the centre O of the dipole and if CP makes an
angle \( 60^{\circ} \) with the positive side of the
axial line of the dipole, what is the moment of the dipole?
A. \( 10 \mathrm{c}-\mathrm{m} \)
B. \( 10^{-3} \mathrm{c}-\mathrm{m} \)
\( c \cdot 10^{-4} c-m \)
D. \( 10^{-5} \mathrm{c}-\mathrm{m} \)


If the areas of two similar triangles are equal then the triangles:
A. are congruent
B. have equal length of corresponding sides
c. (A) and (B)
D. None of these


The number of moles of \( \boldsymbol{K}_{\mathbf{2}} \boldsymbol{C r}_{\mathbf{2}} \boldsymbol{O}_{\mathbf{7}} \)
reduced by 3 mol of \( S n^{2+} \) ions is :


\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{O}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{3} \) react
with hot and excess HI the product formed is:
A. \( C H_{3} C H_{2} I \) and \( C H_{3} C H_{2} O H \)
в. \( C H_{3} C H_{2} \) ОН
c. \( C H_{3} C H_{2} I \)
D. None of these


Identify the primary cause of global warming.
A. Emission of \( C O_{2} \)
B. Emission of \( O_{2} \)
c. Both a and \( b \)
D. None of these


When waves of same intensity from two coherent sources reach a point with
zero path different the resulting intensity is \( \mathrm{K} \). When the above path difference is \( \lambda / 4 \) the intensity becomes
\( A \cdot K \)
B. K/2
\( c \cdot k / 4 \)
D. K/8


What is the nucleos number of an
atom?
A. The number of electrons, neutrons and protons in the nucleus
B. The number of neutrons and protons in the nucleus
C. The number of neutrons in the nucleus
D. The number of protons in the nucleus


whose hemispherical base is of
diameter \( 0.20 \mathrm{m} . \) The height of the flask
is \( 0.25 \mathrm{m} \). The flask is filled to the brim
with 2.5 litres \( \left(1 \text { litre }=10^{-3} m^{3}\right) \) of
water and sealed with a glass lid.
What is the approximate magnitude of
the total vertical force exerted by the
water on the curved surface of the
flask? (Take the acceleration due to
gravity, \( g, \) to be \( 10 m s^{-2} \) ).
\( A \cdot O N \)
B. 78.5
c. 53.5 N
D. 25.0


At what value of \( \eta \) will the velocity of the disc after the collision be equal to zero?
A. \( \eta=4 \)
В . \( \eta=5 \)
\( \mathbf{c} \cdot \eta=6 \)
D. \( \eta=7 \)


Which of the following complex ion has least stability?
A \( \cdot\left[\operatorname{Co}\left(N H_{2}\right)_{6}\right]^{2+} \)
в. \( \left[\operatorname{Co}(C N)_{6}\right]^{3-} \)
c. \( \left[\operatorname{Co}\left(N H_{3}\right)_{6}\right]^{3} \)
D \( \cdot\left[C o(C O)_{6}\right]^{3+} \)


Solution of the equation \( \frac{d y}{d x}=1+ \)
\( \boldsymbol{x} \boldsymbol{y}+\boldsymbol{x}+\boldsymbol{y} \) is
\( \mathbf{A} \cdot(1+y)(1+x)=c \)
B \( \cdot \log (1+y)=1+x+c \)
\( ^{\mathbf{C}} \cdot \ln |1+y|=x+\frac{x^{2}}{2}+c \)
D \( \ln |1+y|+x+\frac{x^{2}}{2}+c=0 \)


Seema can embrodier \( \frac{1}{5} \) of a Kurta in 4
days. How long will it take her to embroder it completely?


In situation \( 2, \) if \( h_{2} \) is further decreased
then
A. cylinder will not move up an remains at its original position
B. for \( h_{2}=h / 3 \) cylinder again starts moving up
C. for \( h_{2}=h / 4 \) cylinder again starts moving up
D. for \( h_{2}=h / 5 \) cylinder again starts moving up


Prove that:
\( \lim _{x \rightarrow \frac{\pi}{2}} \frac{\tan 2 x}{x-\frac{\pi}{2}} \)


If the corresponding angles of two triangles are equal then they are always
congruent. The given statement
A . Is always true
B. Is always false
c. can be true
D. can be determined


The number of waves made by a Bohr electron in an orbit of maximum
magnetic quantum number +2 is:
A . 3
B. 4
\( c \cdot 2 \)
D.


In a certain gas \( \frac{2}{5} \) th of the energy of molecules is associated with the
rotation of molecules and the rest of it
is associated with the motion of the
centre of mass. The average translation energy of one such molecule, when the
temperature is \( 27^{\circ} \mathrm{C} \) is given by \( x \times \)
\( 10^{-23} J \),then find \( x ? \)
A . 62
B. 623
c. 6.21
D. 62.1


\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(e^{\log x}\right)= \)
\( \mathbf{A} \cdot \mathbf{1} \)
в.
c. \( x^{2} / 2 \)
D. -


Explain why: In the electrolysis of alumina using Hall Heroult's Process the electrolyte is covered with powdered coke.


Match the entries in column I with
column II


Ammonia gas is formed by the combination of nitrogen and hydrogen.
\( N_{2}+3 H_{2} \rightarrow 2 N H \)
In the above equation:
This question has multiple correct options
A. nitrogen and hydrogen are reactants
B. one molecule of nitrogen combine with 3 molecule of hydrogen and forms two molecule of ammonia
C. one volume of nitrogen and three volume of hydrogen combine and give 2 volume of ammonia gas
D. reactants and products are not gases


Which statement represents the inverse of the statement "If it is snowing then
Skeeter wears a sweater"?
A. If Skeeter wears a sweater then it is snowing
B. If Skeeter does not wear a sweater then it is not snowing
C. If it is not snowing then Skeeter does not wear a sweater
D. If it is not snowing then Skeeter wears a sweater


The reaction of \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C O N a} \) with
reagent is the most easy.
A. \( C_{6} H_{5} B r \)
B \( \cdot\left(C H_{3}\right)_{2} C H B r \)
\( \mathbf{c} \cdot\left(C H_{3}\right)_{3} C B r \)
D. \( C H_{3} C H_{2} B r \)


Define one Curie.


A power transmission line feeds input power \( t 2300 \mathrm{V} \) to a step-down transformer with its primary windings having 4000 turns. The output power is delivered at \( 230 \mathrm{V} \) by the transformer. If the current in the primary of the transformer is \( 5 \mathrm{A} \) and its efficiency is \( 90 \%, \) the output current would be :
A . 25 A
B. 50 A
\( c .35 \mathrm{A} \)
D. 45 A


All of the following statements are related to the kinetic molecule theory of
gases except:
A. gas molecules have no inter-molecular forces
B. gas particles are in random motion
C. the collisions between gas particles are elastic
D. gas particles have no volume
E. the average kinetic energy is proportional to the celsius temperature of the gas


Assertion
To overcome electrostatic force of
attraction between electrons and
nucleus, they revolve around the
nucleus.
Reason
Mass of the atom is almost due to its
nucleus.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
C. Assertion is correct but Reason is incorrect.
D. Assertion is incorrect but Reason is correct.


Find the effective resistance of the
circuit as shown in the figure.
A. 10 ohm
B. 5 ohm
\( c .15 \) ohm
D. 4 ohm


Which fraction shows the part of the
circle that is shaded?
\( A \cdot 2 \)
\( \overline{9} \)
B. \( \frac{2}{8} \)
\( c \cdot 2 \)
7
D. 2
\( G \)


Which row correctly shows a primary,
secondary and a tertiary alcohol?
3
\( r \)
)


\( f(x)=\frac{3}{2} x+b \)
In the function above, \( b \) is a constant. If
\( \boldsymbol{f}(\boldsymbol{6})=\mathbf{7}, \) what is the value of \( \boldsymbol{f}(-\mathbf{2}) ? \)
A . -
B . - -
\( c . \)
\( D \)


Give two reactions in which transition
metals or their compound acts as catalysts.


The energy of an electron in the \( 3 s \)
orbital (excited state) of H-atom is:
A . \( -1.5 e V \)
B . \( -13.6 e V \)
c. \( -3.4 e V \)
D. \( -4.53 e V \)
E. \( 4.53 e V \)


Rewrite the following statement with "if-then" in five different ways conveying
the same meaning. If a natural number is odd then its square is also odd.


Archaeologists often come to different
conclusions when studying the earliest
fossils due to
A. The fact that a few countries limit access to the
artifacts
B. The fact that the universal process for dating the remains is problematic
C. The fact that many fossils are decaying
D. The limited amount of archaeological remains
E. Fear of upsetting religious communities


Heat will flow from
A. Hot body to cold body
B. Cold body to hot body
C. two bodies at the same temperature
D. None of these


Rutherfords alpha particle scattering
experiment concluded that:
A. mass and energy are related
B. electrons occupy space around the nucleus
C. neutrons are buried deep in the nucleus
D. the point of impact with matter can be precisely determined


The conversion of primary aromatic ami nes into diazonium salts is known as
A. decarboxylation
B. diazotization
c. ammonolysis
D. none of these


As a wave propagates,
This question has multiple correct options
A. the wave intensity remains constant for a planewave
B. the wave intensity decreases as the inverse of the distance from the source for a spherical wave
C. the wave intensity decreases as the inverse square of the distance form the source for a spherical wave
D. the wave intensity decreases as the inverse of the distance for a line source


Value of universal gravitational
constant \( G \) in \( \mathrm{CGS} \) unit is-
A \( \cdot 6.67 \times 10^{8} \mathrm{cm}^{3} g^{1} s \)
B . \( 6.67 \times 10^{8} \mathrm{cm}^{3} g^{-1} s^{-2} \)
c. \( 6.67 \times 10^{9} \mathrm{cm}^{3} g^{1} s^{2} \)
D. \( 6.67 \times 10^{7} \mathrm{cm}^{3} g^{-1} s^{2} \)


State whether true or false.
\( \frac{2}{7} \) is an irrational number.
A. True
B. False


If \( f(x) \) and \( g(x) \) are two solutions of the differential equation \( a \frac{\mathrm{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}+\mathbf{x}^{2} \frac{\mathbf{d y}}{\mathbf{d x}}+ \)
\( \mathbf{y}=\mathbf{e}^{\mathbf{X}}, \) then \( f(\boldsymbol{x})-\boldsymbol{g}(\boldsymbol{x}) \) is the solution
of
A \( \cdot a^{\frac{d^{2} y}{d x^{2}}}+\frac{d y}{d x}+y=e^{x} \)
B. \( a^{2} \frac{d^{2} y}{d x^{2}}+y=e^{x} \)
\( ^{\mathbf{C}} \cdot \underset{\mathrm{d} \mathrm{x}^{2}}{\frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{d} \mathrm{x}}}+\mathrm{x}^{2} \frac{\mathrm{d} \mathrm{y}}{\mathrm{d}}=0 \)
D. \( a \frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dx}^{2}}+\mathrm{y}=\mathrm{e}^{\mathrm{x}} \)


Simplify \( \tan ^{-1}\left[\frac{\boldsymbol{a} \cos \boldsymbol{x}-\boldsymbol{b} \sin \boldsymbol{x}}{\boldsymbol{b} \cos \boldsymbol{x}+\boldsymbol{a} \sin \boldsymbol{x}}\right], \) if
\( \frac{\boldsymbol{a}}{\boldsymbol{b}} \tan \boldsymbol{x}>-1 \)


The lengths of two wires made of the same material are in the ratio \( 2: 1 . \) If
the masses of the two wires are in the
ratio \( 1: 8, \) find the ratio of their
resistances
\( \mathbf{A} \cdot 1: 16 \)
B. 32: 1
\( \mathbf{c} \cdot 16: 1 \)
D. 1: 32


Assertion
To unscrew a rusted nut, we need a
wrench with a longer arm
Reason
Wrench with longer arm reduces the
torque applied by the arm
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct


RQ is more than one indicating
A. Aerobic respiration
B. Anaerobic respiration.
c. Both A and B
D. None of the above.


Which of the following pair consists of ore of the same metal?
This question has multiple correct options
A. Magnesite, Cerussite
B. Chalcocite, Copper pyrites
c. Bauxite, Corundum
D. Anglesitc, Cerussite


Select the incorrect statement.
A. In metallurgy, flux is a substance used to convert infusible impurities to fusible mass.
B. Cryolite is \( N a_{3} A l F_{6} \) and is used in the electrolysis of alumina for lowering the melting point of alumina.
C. Extraction of iron metal from ores of iron oxides is
carried out by heating with coke.
D. The chemical composition of carnallite is \( K_{2} M g_{2}\left(S O_{4}\right)_{3} \)


An unsaturated hydrocarbon is
A \( . C H_{4} \)
в. \( C_{2} H_{6} \)
\( \mathbf{c} \cdot C_{2} H_{4} \)
D. \( C_{2} H_{5} O H \)


Elements are impure matter
A. True
B. False


Factorise the following \( : 27(a-b)^{3}+ \)
\( (2 a-b)^{3}+(4 b-5 a)^{3} \)
A \( \cdot(a-b)(a-b)(4 b-8 a) \)
В. \( 9(a-b)(2 a-b)(4 b-5 a) \)
c. \( 9(a-b)(a-2 b)(4 b-a) \)
D. \( 94-b)(2 a-b)(b-a) \)


Suggest a sequence of reactions
suitable for preparing propanol from \( 2- \) propanol.


A body is dropped from a height \( h \)
number acceleration due to gravity \( \boldsymbol{g} \). If
\( t_{1} \) and \( t_{2} \) are time intervals for its fall for
first half and the second half distance,
the relation between them is :
в. \( t_{1}=2 t \)
c. \( _{t_{1}}=\frac{t_{2}}{\sqrt{2}-1} \)
D. \( t_{1}=4 t_{2} \)


First life consisted of
A. Protovirus
B. Provirus
C. Bacteria
D. Virus


toppr
Q Type your question
around the spool through which a mass
\( \mathrm{m} \) is hanging. There exists no friction at
point \( A, \) while the coefficient of friction
between spool and point \( B \) is \( \mu . \) The
angle between two surfaces is \( \theta \)
This question has multiple correct options
A. the magnitude of force on the spool at B in order to maintain equilibrium is \( m g \sqrt{\left(\frac{r}{R}\right)^{2}+\left(1-\frac{r}{R}\right)^{2}} \frac{1}{\tan ^{2} \theta} \)
B. the magnitude of force on the spool at \( B \) in order to maintain equilibrium is \( m g\left(1-\frac{r}{R}\right) \frac{1}{\tan \theta} \)
C. the maintain value of \( \mu \) for the system to remain in equilibrium is \( \frac{\cot \theta}{(R / r)-1} \)
D. the maintain value of \( \mu \) for the system to remain in equilibrium is \( \frac{\tan \theta}{(R / r)-1} \)


A sphere has to purely roll upwards. At an instant when the velocity of sphere is
\( v, \) frictional force acting on it is
A. downwards and \( \mu \) mg cos \( \theta \)
B. downwards and \( \frac{2 m g \sin \theta}{7} \)
c. upwards and \( \mu m g \cos \theta \)
D. upwards and \( \frac{2 m g \sin \theta}{7} \)


A boy swims a lake and initially dives \( 0.5 m \) beneath the surface. When he
dives \( 1 m \) beneath the surface, how does
the absolute pressure change?
A. It doubles
B. It quadruples
c. It slightly increases
D. It cut to a half


Consider the following alkane and answer the following questions:
\( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C H} \boldsymbol{C H}_{2}\left(\boldsymbol{C}_{2} \boldsymbol{H}_{5}\right) \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right) \boldsymbol{C I} \)
The molecular formula is:
\( \mathbf{A} \cdot C_{10} H_{24} \)
в. \( C_{10} H_{21} \)
c. \( C_{10} H_{22} \)
D. \( C_{9} H_{22} \)


Which of the following condition is correct for operation of electrolytic cell?
A. \( \triangle G=0, E=0 \)
в. \( \triangle G<0, E>0 \)
c. \( \triangle G>0, E<0 \)
D. \( \Delta G>0, E>0 \)


In a ripple tank, 10 full ripples/s are produced. The distance between peaks of consecutive trough and crest is 15 \( c m \). Calculate the velocity of the
ripples.
\( A \cdot 2 m / s \)
в. \( 3 m / s \)
c. \( 4 m / s \)
D. \( 6 m / s \)


In Brownian movement or motion the
paths of the particles are:
A . linear
c. uncertain
D. curvedd


The sky is blue because
A. There is more blue light in the sunlight
B. Of scattering of sunlight by air molecules in the atmosphere
C. Of scattering of sunlight by dust particles in the atmosphere
D. Other colours are absorbed by heavenly bodies


Show graphically that the pair of
equations \( 3 x+4 y=6,6 x+8 y=12 \)
represents coincident lines


A body moves in a circle covers equal distance in equal intervals of time.
Which of the following remains
constant
A. Velocity
B. Acceleration
c. speed
D. Displacement


On rusting of iron it completely converts in \( F e_{2} O_{3} . \) If a sample of pure gains \( 10 \% \) in weight due to partial rusting. Calculate the fraction of iron rusted.
A \( .5 / 30 \)
в. \( 8 / 30 \)
c. \( 7 / 30 \)
D. \( 9 / 30 \)


The percentage of formaldehyde in
formalin is:
A . \( 40 \% \)
B. 30\%
c. \( 20 \% \)
D. 10\%


A ball of mass 0.5 gram is hit by battery switch giving an impulse of \( 0.075 \mathrm{N} \) with what velocity does the ball move?


Write whether the following statements are True or False. Justify your answer The degree of \( x^{2}+2 x y+y^{2} \) is 2
A . True
B. False


If the Rolle's theorem holds for the
function \( \boldsymbol{f}(\boldsymbol{x})=\mathbf{2} \boldsymbol{x}^{\mathbf{3}}+\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x} \) in
interval [-1,1] for the point \( c=\frac{1}{2}, \) then
find the value of \( 2 a+b ? \)
A
B. -
\( c \cdot 2 \)
\( D \cdot-2 \)


Find electric field
A \( \cdot \frac{2 m a V^{2}}{e d^{2}} \)
B. \( \frac{m a V^{2}}{e d^{2}} \)
c. \( \frac{2 m a V^{2}}{2 e d^{2}} \)
D. \( \frac{2 m a V^{3}}{e d^{3}} \)


1000 g aqueous solution of \( C a C O_{3} \) contains 10 g of calcium carbonate. \( \mathbf{A} \) concentration of the solution is:
A. 10 ppm
B. 100 ppm
c. 1000 ppm
D. 10000 ppm


Why is manganese more stable in the
+2 state than the +3 state and the
revers is true for iron?


The resistance of \( 0.5 \mathrm{M} \) solution of an
electrolyte in a cell was found to be 50
\Omega. If the electrodes in the cell are \( 2.2 \mathrm{cm} \)
a part and have an area of \( 4.4 \mathrm{cm}^{2} \) than
the molar conductivity \( \left(\operatorname{in} S m^{2} m o l^{-1}\right) \)
of the solution is:
A . 0.2
B. 0.02
c. 0.002
D. None of these


If longitudinal strain for a wire is 0.03
and its poisson ratio is \( 0.5, \) then its lateral strain is
\( \mathbf{A} \cdot 0.003 \)
в. 0.0075
c. 0.015
D. 0.4


Which of the following is/are true statement(s) for the preparation of Teflon?
A. It is produced by condensation polymerization
B. Water acts as catalyst
c. The monomer used is tetrafluoroethane
D. The monomer is obtained from carbon tetrachloride


The AM of two given positive number is
3. If the larger number is increased by 1 the GM of a numbers becomes equal to
AM of the given numbers. Then the HM of the given numbers is
A \( \cdot \frac{3}{2} \)
B. \( \frac{2}{3} \)
\( c \cdot \frac{1}{2} \)
D. None of these


An emf of \( 15 V \) is applied in a circuit of inductance \( 5 H \) and resistance \( 10 \Omega \)
The ratio of currents flowing at \( t=\infty \)
and \( t=1 s \) will be
A \( \cdot 1-e^{-1} \)
B \( \cdot e^{-1} \)
c. \( \frac{e^{2}}{e^{2}-1} \)
D. \( \frac{e^{1 / 2}}{e^{1 / 2}-1} \)


If one litre of air is passed repeatedly
over heated copper and magnesium till no further reduction in volume takes
place, the volume finally obtained would be approximately:
A. 800 m!
B. 200 m
c. \( 10 \mathrm{ml} \)
D. 20 m


What make(s) water conducting?
A. Salts
B. Hydrogen
c. oxygen
D. None of the above


Oxidation number of \( \boldsymbol{F} \) in \( \boldsymbol{H} \boldsymbol{F} \)
\( A \cdot+1 \)
B. - -
\( c \cdot 0 \)
\( D \cdot+2 \)
\( E \cdot+3 \)


Which reaction sequence below can
convert \( p \) -bromoaniline into \( p \)
bromophenol?
\( A \)
\[
\mathbf{h}_{2} \mathrm{N}-\langle\sqrt{\quad}\rangle=\mathrm{Br} \frac{\mathrm{NaNO}_{2}}{\mathrm{HCl}, \mathrm{H}_{2} \mathrm{O}, 0^{\circ} \mathrm{C}}
\]
B.
\( c \)
\( \mathrm{H}_{2} \mathrm{N} \longrightarrow\langle\underbrace{\mathrm{o}}_{\mathrm{Pyridine}} \mathrm{N}_{2} \mathrm{O}=\frac{\mathrm{NaOH}}{\mathrm{B}} \)
\( D \)


Number of chromosomes in an
angiospermic plant is \( 14 . \) Number of chromosomes in synergid cells will be
A . 28
B . 21
c. 14
D.


One mole of an ideal monatomic gas undergoes the following four reversible
processes:
Step1 - it is first compressed adiabatically from volume \( 8.0 m^{3} \) to
\( 1.0 m^{3} \)
Step 2 - then expanded isothermally at temperature \( T_{1} \) to volume \( 10.0 m^{3} \)
Step3 - then expanded adiabatically to
volume \( 80.0 m^{3} \)
Step 4 - then compressed isothermally
at temperature \( T_{2} \) to volume \( 8.0 m^{3} \)
Then \( \boldsymbol{T}_{\mathbf{1}} / \boldsymbol{T}_{\mathbf{2}} \) is
A .2
B. 4
\( c .6 \)
D.


For the reaction \( \boldsymbol{R} \rightarrow \boldsymbol{P}, \) the
concentration of a reactant changes from \( 0.03 \mathrm{M} \) to \( 0.02 \mathrm{M} \) in 25 minutes. Calculate the average rate of reaction both in minutes and seconds.


Matte is a mixture of :
\( \mathbf{A} \cdot C u_{2} S+F e S(\mathrm{small} \text { amount }) \)
B \( \cdot F e S+C u_{2} S \) (small amount)
\( \mathrm{c} \cdot \mathrm{Cu}_{2} \mathrm{O}+\mathrm{FeO} \) (small amount)
D. \( F e O+C u_{2} O \) (small amount)


Density of a gas is found to be 5.46 \( \mathrm{gm} / \) lit at \( 27^{\circ} \mathrm{C} \) and 2 atm pressure. what will be its density at STP?
A. 3 gm/lit
B. 2 gm/lit
c. \( 1.5 \mathrm{gm} / \) lit
D. \( 1 \mathrm{gm} / \) lit


Living organisms on the Earth have evolved gradually from one form to another over the million years. This
statement was given by
A. Darwin
B. Robert Hook
c. Linneaus
D. None of the above


An element X occurs in short period
having configuration \( n s^{2} n p^{1} . \) What is the formula and nature of its oxide?


(A) : Newton's corpuscular theory of light could not explain refraction of light.
(B) : Huygen's wave theory fails to
explain polarization property of light.
A. A is true B is false
B. A is false B is true
c. Both \( A \) and \( B \) are true
D. Both A and B are false


Which of the following pairs has the
same size?
A. \( Z n^{2+}, H f^{4} \)
B. \( F e^{2+}, N i^{4+} \)
\( \mathbf{c} \cdot Z n^{4+}, T i^{4+} \)
D. \( Z r^{4+}, H i^{4+} \)


An equiconcave diverging lens of local length \( F \) is cut into two equal halves.
The two halves are turned around the
joined with some liquid between them.
The lens obtained is converging with focal length \( F \). If the refractive index of
the liquid is 3 then what is the refractive index of the lens?
\( A \cdot 4 \)
B. 2
\( c \)
D. 1.5


If the angle of incidence is \( 50^{\circ} \)
then calculate the angle between the incidence ray and the reflected ray.
A .50
B. 100
c. \( 130^{\circ} \)
D. \( 80^{\circ} \)


If \( \cos \theta=-\frac{3}{5}, \pi^{c}<\theta<\frac{3 \pi^{c}}{2}, \) find the
value of \( \frac{\csc \theta+\cot \theta}{\sec \theta-\tan \theta} \)


In which of the compound sulphur exhibits an oxidation state of \( -2 ? \)
A. \( H_{2} S \)
B. \( S O_{2} \)
\( \mathbf{c} \cdot H_{2} S_{2} O_{3} \)
D. \( H_{2} S O_{5} \)


Detergents used for cleaning clothes and utensils contain?
A. bicarbonates
B. sulphonates
c. nitrates
D. bismuthates


What is salting out of soap?
A. Formation of salt
B. Formation of acids in aqueous medium
C. Melting if soap
D. Precipitation of soap in solid form


What is the source of receptor proteins?
A. Interior of a cell
B. Cell wall
C. Out of cell wall
D. Fixed in the cell membrane partially inside and partially projected outward


Convert \( \left(\frac{5 \pi}{6}\right)^{c} \) into degrees.


A body is projected at \( t=0 \) with a
velocity \( 10 m s^{1} \) at an angle of 60 with
the horizontal.The radius of curvature of
its trajectory at \( t=1 s \) is \( R . \) Neglecting
air resistance and taking acceleration due to gravity \( g=10 \) ms2, the value of
\( \boldsymbol{R} \) is :
A \( .2 .4 m \)
B. \( 10.3 m \)
\( c .2 .8 m \)
D. \( 5.1 \mathrm{m} \)


The blue zone in an LPG flame indicates:
A. unburnt vapours
B. partial decomposition
c. moderately hot
D. hottest and complete combustion


The mass of a beaker is found to be
\( \mathbf{1 0 . 1} \pm \mathbf{0 . 1} \) ) gm when empty and
\( (17.3 \pm 0.1) g m \) when partially filled
with a liquid. What is the best value for the mass of the liquid together with the possible limits of accuracy?
A \( .(7.2 \pm 0.2) g m \)
в. \( (7.2 \pm 0.1) g m \)
\( \mathbf{c} .(7.1 \pm 0.2) g m \)
D. \( (7.2 \pm 0.3) g m \)


Two cars \( A \) and \( B \) are running at
velocities of \( 60 \mathrm{km} h^{-1} \) and \( 45 \mathrm{km} h^{-1} \)
What is the relative velocity of car \( A \) with respect to car \( \mathrm{B} \), if both are moving eastward?
A \( \cdot 15 \mathrm{km} h^{-1} \)
B. \( 45 \mathrm{km} h^{-1} \)
\( c \cdot 60 \mathrm{km} h^{-1} \)
D. \( 105 \mathrm{km} h^{-1} \)


Number of solutions of equation \( 5 x+ \)
\( 20 x-3 x=7 \) are
\( \mathbf{A} \cdot \mathbf{1} \)
B. 10
\( c .9 \)
D.


The "lock and key" model of enzyme action illustrates that a particular
enzyme molecule
A. May be destroyed and resynthesised several times.
B. Interacts with a specific type of substrate molecule
c. Reacts at identical rates under all conditions
D. Forms a permanent enzyme -substrate complex


In an LCR circuit having \( \mathrm{L}=\mathbf{8 H}, \mathbf{C}= \)
\( 0.5 \mu F \) and \( R=100 \Omega \) in series, the
resonance frequency rad/s is?
A. 600
в. 200
c. \( 250 / \pi \)
D. 500


The vapour pressure of pure water at
\( 20^{\circ} C \) is \( 20 \mathrm{mm} \) Hg. A solution of
sucrose whose molar mass is 342
g/mole is prepared by dissolving 75 gof it in 1000 g of water. The relative lowering of the vapor pressure of the solution was measured as \( 0.0039 . \) What
is the vapour pressure of the solution when the solute was added?
A. \( 14.660 \mathrm{mm} \)
B. \( 10.005 \mathrm{mm} \)
c. \( 25.220 \mathrm{mm} \)
D. \( 19.922 \mathrm{mm} \)


The first excitation potential energy or the minimum energy required to excite the atom from ground state of hydrogen
atom is
A. 13.6 eV
B. 10.2 eV
c. \( 3.4 e V \)
D. \( 1.89 \mathrm{eV} \)


Two elements \( P(\text { at.wt. } 39) \) and \( Q \) (at.wt
80) contain 20 and 45 neutrons
respectively in their nucleus:
What type of bonds are \( \boldsymbol{P}-\boldsymbol{Q} \) and \( \boldsymbol{Q}- \)
\( Q ? \)
A. \( P-Q \) bond is Covalent and \( Q-Q \) bond is covalent.
B. \( P-Q \) bond is ionic and \( Q-Q \) bond is covalent
c. \( P-Q \) bond is Covalent and \( Q-Q \) bond is metallic.
D. \( P-Q \) bond is ionic and \( Q-Q \) bond does not form.