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Physics
Q.1. A rubber ball filled with water, having a small hole is used as the bob of a simple pendulum. The time period of such a pendulum:
A. is a constant.
B. decreases with time.
C. increases with time.
D. first increases and then decreases, finally having the same value as at the beginning.
Answer: D. first increases and then decreases, finally having the same value as at the beginning.
Q.2. The ratio of wavelengths for the transition of electrons from 2^{\text {nd }} orbit to 1^{\text {st }} orbit of Helium \left(\mathrm{He}^{++}\right) and Lithium \left(\mathrm{Li}^{+}\right) is (Atomic number of Helium = 2, Atomic number of Lithium = 3):
A. 9:4
B. 9:36
C. 4:9
D. 2:3
Answer: A. 9:4
Q.3. For an intrinsic semiconductor (\mathrm{n}_{\mathrm{h}} and \mathrm{n}_{\mathrm{e}} are the number of holes per unit volume and number of electrons per unit volume respectively):
A. nh < ne
B. nh=ne
C. \mathrm{n}_{\mathrm{h}}=\frac{\mathrm{n}_{\mathrm{c}}}{2}
D. \mathrm{n}_{\mathrm{h}}>\mathrm{n}_{\mathrm{e}}
Answer: B. \mathrm{n}_{\mathrm{h}}=\mathrm{n}_{\mathrm{e}}
Q.4. A 5.0 V stabilized power supply is required to be designed using a 12 V DC power supply as input source. The maximum power rating of zener diode is 2.0 W . The minimum value of resistance R_{\mathrm{s}} in \Omega connected in series with zener diode will be
A. 16.5
B. 17.5
C. 18.5
D. 15.5
Answer: B.17.5
Q.5. A jar ‘ P ‘ is filled with gas having pressure, volume and temperature \mathrm{P}, \mathrm{V}, \mathrm{T} respectively. Another gas jar Q filled with a gas having pressure 2 P , volume \frac{\mathrm{V}}{4} and temperature 2 T . The ratio of the number of molecules in jar P to those in jar Q is
A. 1: 1
B. 1: 2
C. 2: 1
D. 4: 1
Answer: D.4:1
Q.6.The magnetic flux through a loop of resistance 10 \Omega varying according to the relation \phi=6 \mathrm{t}^{2}+7 \mathrm{t}+1 , where \phi is in milliweber, time is in second at time t=1 \mathrm{~s} the induced e.m.f. is
A. 12 mV
B. 7 mV
C. 19 mV
D. 19 V
Answer: C.19 mV
Q.7. A thin rod of length ‘ L ‘ is bent in the form of a circle. Its mass is ‘ M ‘. What force will act on mass ‘ m ‘ placed at the centre of this circle?
( \mathrm{G}= constant of gravitation)
A. zero
B. \frac{\mathrm{GMm}}{4 \mathrm{~L}^{2} \pi^{2}}
C. \frac{4 \pi^{2} \mathrm{GMm}}{\mathrm{L}}
D. \frac{2 \mathrm{GMm}}{\mathrm{L}^{2}}
Answer: A.zero
Q.8.The coil of an a.c. generator has 100 turns, each of cross-sectional area 2 \mathrm{~m}^{2} . It is rotating at constant angular speed 30 \mathrm{rad} / \mathrm{s} , in a uniform magnetic field of 2 \times 10^{-2} \mathrm{~T} . If the total resistance of the circuit is 600 \Omega then maximum power dissipated in the circuit is
A. 6 W
B. 9 W
C. 12 W
D. 24 W
Answer: C.12 W
Q.9. A beam of unpolarized light passes through a tourmaline crystal A and then it passes through a second tourmaline crystal B oriented so that its principal plane is parallel to that of A . The intensity of emergent light is I_{0} . Now B is rotated by 45^{\circ} about the ray. The emergent light will have intensity \left(\cos 45^{\circ}=\frac{1}{\sqrt{2}}\right)
A. \frac{\mathrm{I}_{0}}{2}
B.\frac{\mathrm{I}_{0}}{\sqrt{2}}
C. \frac{\sqrt{2}}{I_{0}}
D. \frac{2}{I_{0}}
Answer: A.
\frac{\mathrm{I}_{0}}{2}Q.10.The materials suitable for making electromagnets should have
A. high retentivity and high coercivity
B. low retentivity and low coercivity
C. high retentivity and low coercivity
D. low retentivity and high coercivity
Answer: B. low retentivity and low coercivity
Q.11. A body falls on a surface of coefficient of restitution 0.6 from a height of 1 m . Then the body rebounds to a height of
A. 1 m
B. 0.36 m
C. 0.4 m
D. 0.6 m
Answer: B
Q.12. In a diffraction pattern due to single slit of width ‘ a ‘, the first minimum is observed at an angle of 30^\circ when the light of wavelength 5400 A is incident on the slit. The first secondary maximum is observed at an angle of \left(\sin 30^{\circ}=\frac{1}{2}\right)
A. \sin ^{-1}\left(\frac{3}{4}\right)
B. \sin ^{-1}\left(\frac{2}{3}\right)
C. \sin ^{-1}\left(\frac{1}{2}\right)
D. \sin ^{-1}\left(\frac{1}{4}\right)
Answer: A.\sin ^{-1}\left(\frac{3}{4}\right)
Q.13. A stone is projected vertically upwards with speed ‘ v ‘. Another stone of same mass is projected at an angle of 60^{\circ} with the vertical with the same speed ‘ v ‘. The ratio of their potential energies at the highest points of their journey is
A. 4: 1
B. 2: 1
C. 3: 2
D. 1: 1
Answer: A. 4:1
Q.14. An electron (mass m ) is accelerated through a potential difference of ‘ V^{\prime} and then it enters in a magnetic field of induction ‘ B ‘ normal to the lines. The radius of the circular path is ( \mathrm{e}= electronic charge)
A. \sqrt{\frac{2 \mathrm{eV}}{\mathrm{m}}}
B. \sqrt{\frac{2 \mathrm{Vm}}{\mathrm{eB}^{2}}}
C. \sqrt{\frac{2 V m}{e B}}
D. \sqrt{\frac{2 V m}{\mathrm{e}^{2} \mathrm{~B}}}
Answer: B.\sqrt{\frac{2 \mathrm{Vm}}{\mathrm{eB}^{2}}}
Q.15. A capacitor, an inductor and an electric bulb are connected in series to an a.c. supply of variable frequency. As the frequency of the supply is increased gradually, then the electric bulb is found to
A. increase in brightness.
B. decrease in brightness.
C. increase, reach a maximum and then decrease in brightness.
D. show no change in brightness.
Answer: C.increase, reach a maximum and then decrease in brightness.
Q.16. When both source and listener are approaching each other the observed frequency of sound is given by ( V_{L} and V_{S} is the velocity of listener and source respectively, \mathrm{n}_{0}= radiated frequency)
A.\mathrm{n}=\mathrm{n}_{0}\left[\frac{\mathrm{~V}+\mathrm{V}_{\mathrm{L}}}{\mathrm{V}-\mathrm{V}_{\mathrm{s}}}\right]
B.\mathrm{n}=\mathrm{n}_{0}\left[\frac{\mathrm{~V}-\mathrm{V}_{\mathrm{L}}}{\mathrm{V}+\mathrm{V}_{\mathrm{s}}}\right]
C.\mathrm{n}=\mathrm{n}_{0}\left[\frac{\mathrm{~V}-\mathrm{V}_{\mathrm{L}}}{\mathrm{V}-\mathrm{V}_{\mathrm{s}}}\right]
D.\mathrm{n}=\mathrm{n}_{0}\left[\frac{\mathrm{~V}+\mathrm{V}_{\mathrm{L}}}{\mathrm{V}+\mathrm{V}_{\mathrm{s}}}\right]
Answer: A.
\mathrm{n}=\mathrm{n}_{0}\left[\frac{\mathrm{~V}+\mathrm{V}_{\mathrm{L}}}{\mathrm{V}-\mathrm{V}_{\mathrm{s}}}\right]Q.17. Water is flowing through a horizontal pipe in stream line flow. At the narrowest part of the pipe
A. velocity is maximum and pressure minimum.
B. pressure is maximum and velocity minimum.
C. both pressure and velocity are minimum.
D. both pressure and velocity are maximum.
Answer: A
Q.18. The angle of prism is A and one of its refracting surface is silvered. Light rays falling at an angle of incidence ‘ 2 A ‘ on the first surface return back through the same path after suffering reflection at the silvered surface. The refractive index of the material of the prism is
A. 2 \sin \left(\frac{\mathrm{~A}}{2}\right)
B. 2 \tan \mathrm{~A}
C. 2 \cos \mathrm{~A}
D. 2 \sin \mathrm{~A}
Answer: C.2 \cos \mathrm{~A}
Q.19. The maximum velocity of a particle performing S.H.M. is ‘ V ‘. If the periodic time is made \left(\frac{1}{3}\right)^{d} and the amplitude is doubled, then the new maximum velocity of the particle will be
A. \frac{\mathrm{V}}{6}
B. \frac{3 \mathrm{~V}}{2}
C. 3 V
D. 6 V
Answer: D. 6V
Q.20. A conducting wire of length 2500 m is kept in east-west direction, at a height of 10 m from the ground. If it falls freely on the ground then the current induced in the wire is (Resistance of wire =25 \sqrt{2} \Omega , acceleration due to gravity \mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}, \mathrm{~B}_{\mathrm{H}}=2 \times 10^{-5} \mathrm{~T} )
A. 0.2 A
B. 0.02 A
C. 0.01 A
D. 2 A
Answer: B.0.02 A
Q.21. For an electron moving in the \mathrm{n}^{\text {th }} Bohr orbit the deBroglie wavelength of an electron is
A. \mathrm{n} \pi \mathrm{r}
B. \frac{\pi r}{n}
C. \frac{\mathrm{nr}}{2 \pi}
D. \frac{2 \pi r}{n}
Answer: D. \frac{2 \pi r}{n}
Q.22. A square lamina of side ‘ b ‘ has same mass as a disc of radius R ‘ the moment of inertia of the two objects about an axis perpendicular to the plane and passing through the centre is equal. The ratio \frac{b}{R} is
A. 1: 1
B. \sqrt{3}: 1
C. \sqrt{6}: 1
D. 1: \sqrt{3}
Answer: B.\sqrt{3}: 1
Q.23. A body weighs 300 N on the surface of the earth. How much will it weigh at a distance \frac{R}{2} below the surface of earth? (R \rightarrow Radius of earth)
A. 300 N
B. 250 N
C. 200 N
D. 150 N
Answer: D.150 N
Q.24. To get the truth table shown, from the following logic circuit, the Gate G should be
A. OR
B. AND
C. NOR
D. NAND
Answer: B.AND
Q.25. For a gas having ‘ X ‘ degrees of freedom, ‘ \gamma ‘ is (\gamma= ratio of specific heats =\frac{Cp}{Cv} )
A. \frac{1+X}{2}
B. 1+\frac{X}{2}
C. 1+\frac{2}{x}
D. 1+\frac{1}{x}
Answer: C.1+\frac{2}{x}
Q.26. A galvanometer of resistance G is shunted with a resistance of 10 \% of G. The part of the total current that flows through the galvanometer is
A. \frac{1}{11} \mathrm{I}
B. \frac{2}{11} \mathrm{I}
C. \frac{1}{10} \mathrm{I}
D. \frac{1}{5} \mathrm{I}
Answer: A.\frac{1}{11} \mathrm{I}
Q.27. If an electron in a hydrogen atom jumps from an orbit of level n=3 to orbit of level n=2 , then the emitted radiation frequency is (where \mathbf{R}= Rydberg’s constant, \mathbf{C}= Velocity of light)
A. \frac{3 \mathrm{RC}}{27}
B. \frac{\mathrm{RC}}{25}
C. \frac{8 \mathrm{RC}}{9}
D. \frac{5 \mathrm{RC}}{36}
Answer: D
Q.28. Self inductance of solenoid is
A. directly proportional to current flowing through the coil.
B. directly proportional to the length.
C. directly proportional to its area of cross-section.
D. inversely proportional to the area of cross-section.
Answer: C.directly proportional to its area of cross-section.
Q.29. The capacitance of a parallel plate capacitor is 2.5 \mu \mathrm{~F} . When it is half filled with a dielectric as shown in figure, its capacitance becomes 5 \mu \mathrm{~F} . The dielectric constant of the dielectric is
A. 7.5
B. 3
C. 4
D. 5
Answer: B.3
Q.30. Equation of simple harmonic progressive wave is given by y=\frac{1}{\sqrt{a}} \sin \omega t \pm \frac{1}{\sqrt{b}} \cos \omega t then the resultant amplitude of the wave is \left(\cos 90^{\circ}=0\right)
A. \frac{a \pm b}{a b}
B. \frac{\sqrt{\mathrm{a}} \pm \sqrt{\mathrm{b}}}{\mathrm{ab}}
C. \frac{\sqrt{a} \pm \sqrt{\mathrm{b}}}{\sqrt{\mathrm{ab}}}
D. \sqrt{\frac{a+b}{a b}}
Answer: D.\sqrt{\frac{a+b}{a b}}
Q.31. Two uniform brass rods A and B of length ‘l’ and ‘2l’ and their radii ‘2r’ and ‘r’ respectively are heated to the same temperature. The ratio of the increase in the volume of rod A to that of rod B is:
A. 1:1
B. 1:2
C. 2:1
D. 1:4
Answer: C. 2:1
Q.32. In a single slit experiment, the width of the slit is doubled. Which one of the following statements is correct?
A. The intensity and width of the central maximum are unaffected.
B. The intensity remains same and angular width becomes half.
C. The intensity and angular width both are doubled.
D. The intensity increases by a factor 4 and the angular width decreases by a factor of \frac{1}{2}.
Answer: D. The intensity increases by a factor 4 and the angular width decreases by a factor of \frac{1}{2}.
Q.33. A gas at N.T.P. is suddenly compressed to \left(\frac{1}{4}\right)^{\text{th}} of its original volume. The final pressure in (Given \gamma = \frac{3}{2}) atmosphere is (\mathrm{P} = original pressure)
A. 4P
B. \frac{3}{2} \mathrm{P}
C. 8P
D. \frac{1}{4} \mathrm{P}
Answer: C. 8P
Q.34. The excess of pressure in a first soap bubble is three times that of another soap bubble. Then the ratio of the volume of the first bubble to the other is:
A. 1 : 3
B. 27 : 1
C. 1 : 9
D. 1 : 27
Answer: D. 1 : 27
Q.35. In a meter bridge experiment, null point is obtained at l \mathrm{~cm} from the left end. If the meter bridge wire is replaced by a wire of the same material but twice the area of cross-section, then the null point is obtained at a distance:
A. 2l \mathrm{~cm} from left end.
B. l \mathrm{~cm} from left end.
C. \frac{l}{2} \mathrm{~cm} from left end.
D. \frac{l}{4} \mathrm{~cm} from left end.
Answer: B. l \mathrm{~cm} from left end.
Q.36. A long straight wire carrying a current of 25 A rests on the table. Another wire PQ of length 1 m and mass 2.5 g carries the same current but in the opposite direction. The wire PQ is free to slide up and down. To what height will wire PQ rise? ( \mu_{0}=4 \pi \times 10^{-7} SI unit)
A. 3 mm
B. 4 mm
C. 5 mm
D. 8 mm
Answer: C. 5 mm
Q.37. In a thermodynamic process, there is no exchange of heat between the system and surroundings. Then the thermodynamic process is
A. isothermal
B. isobaric
C. isochoric
D. adiabatic
Answer: D.adiabatic
Q.38. According to kinetic theory of gases, which one of the following statements is wrong?
A. All the molecules of a gas are idea
B. Collisions between the molecules of a gas and that of the molecules with the walls of the container are perfectly elastic.
C. The molecules do not exert appreciable force on one another except during collision.
D. The pressure exerted by a gas is due to the collision between the molecules of the gas.
Answer: D.The pressure exerted by a gas is due to the collision between the molecules of the gas.
Q.39. The radii of two soap bubbles are r_{1} and r_{2} . In isothermal condition they combine with each other to form a single bubble. The radius of resultant bubble is
(A) \mathrm{R}=\frac{\mathrm{r}_{1}+\mathrm{r}_{2}}{2}
(B) \mathrm{R}=\mathrm{r}_{1}\left(\mathrm{r}_{1} \mathrm{r}_{2}+\mathrm{r}_{2}\right)
(C) \mathrm{R}=\sqrt{\mathrm{r}_{1}^{2}+\mathrm{r}_{2}^{2}}
(D) \mathrm{R}=\mathrm{r}_{1}+\mathrm{r}_{2}
Answer: C.
\mathrm{R}=\sqrt{\mathrm{r}_{1}^{2}+\mathrm{r}_{2}^{2}}Q.40. The rays of different colours fail to converge at a point after passing through a thick converging lens. This defect is called
A. spherical aberration
B. distortion
C. coma
D. chromatic aberration
Answer: D.chromatic aberration
Q.41. The ratio of potential difference that must be applied across parallel and series combination of two capacitors C_{1} and C_{2} with their capacitance in the ratio 1: 2 so that energy stored in these two cases becomes same is:
A. 3: \sqrt{2}
B. \sqrt{2}: 3
C. 2: 9
D. 9: 2
Answer: B. \sqrt{2}: 3
Q.42. The potential energy of charged parallel plate capacitor is v_{0}. If a slab of dielectric constant K is inserted between the plates, then the new potential energy is:
A. \frac{v_{0}}{\mathrm{~K}}
B. v_{0} \mathrm{~K}^{2}
C. \frac{v_{0}}{\mathrm{~K}^{2}}
D. \mathrm{v}_{0}^{2}
Answer: A. \frac{v_{0}}{\mathrm{~K}}
Q.43. A solid sphere rolls without slipping on an inclined plane at an angle \theta. The ratio of total kinetic energy to its rotational kinetic energy is:
A. \frac{7}{2}
B. \frac{5}{2}
C. \frac{7}{3}
D. \frac{5}{4}
Answer: A. \frac{7}{2}
Q.44. Two discs of same mass and same thickness ( t ) are made from two different materials of densities ‘ d_{1} ‘ and ‘ d_{2} ‘ respectively. The ratio of the moment of inertia I_{1} to I_{2} of two discs about an axis passing through the centre and perpendicular to the plane of disc is
A.\mathrm{d}_{1}: \mathrm{d}_{2}
B.\mathrm{d}_{2}: \mathrm{d}_{1}
C. 1: d_{1} d_{2}
D.1: \mathrm{d}_{1}^{2} \mathrm{~d}_{2}
Answer: B.
\mathrm{d}_{2}: \mathrm{d}_{1} \mathrm{d}_{2}: \mathrm{d}_{1}Q.45. When a string of length ‘ l ‘ is divided into three segments of length l_{1}, l_{2} and l_{3} . The fundamental frequencies of three segments are n1 and n2 and \mathrm{n}_{3} respectively. The original fundamental frequency ‘ n ‘ of the string is
A.\mathrm{n}=\mathrm{n}_{1}+\mathrm{n}_{2}+\mathrm{n}_{3}
B.\sqrt{\mathrm{n}}=\sqrt{\mathrm{n}_{1}}+\sqrt{\mathrm{n}_{2}}+\sqrt{\mathrm{n}_{3}}
C.\frac{1}{\mathrm{n}}=\frac{1}{\mathrm{n}_{1}}+\frac{1}{\mathrm{n}_{2}}+\frac{1}{\mathrm{n}_{3}}
D.\frac{1}{\sqrt{\mathrm{n}}}=\frac{1}{\sqrt{\mathrm{n}_{1}}}+\frac{1}{\sqrt{\mathrm{n}_{2}}}+\frac{1}{\sqrt{\mathrm{n}_{3}}}
Answer: C.
\frac{1}{\mathrm{n}}=\frac{1}{\mathrm{n}_{1}}+\frac{1}{\mathrm{n}_{2}}+\frac{1}{\mathrm{n}_{3}}Q.46. A seconds pendulum is placed in a space laboratory orbiting round the earth at a height ‘3 R’ from the earth’s surface. The time period of the pendulum will be (R = radius of earth):
A. zero
B. \frac{2}{3} \mathrm{~s}
C. 4 s
D. infinite
Answer: D. infinite
Q.47. A solid metallic sphere has a charge +3 Q. Concentric with this sphere is a conducting spherical shell having charge -Q. The radius of the sphere is ‘A’ and that of the spherical shell is ‘B’. (B > A). The electric field at a distance ‘R’ (A<R<B) from the center is (\varepsilon_{0} = permittivity of vacuum):
A. \frac{\mathrm{Q}}{2 \pi \varepsilon_{0} \mathrm{R}}
B. \frac{3 Q}{2 \pi \varepsilon_{0} R}
C. \frac{3 \mathrm{Q}}{4 \pi \varepsilon_{0} \mathrm{R}^{2}}
D. \frac{4 Q}{2 \pi \varepsilon_{0} R^{2}}
Answer: C. \frac{3 \mathrm{Q}}{4 \pi \varepsilon_{0} \mathrm{R}^{2}}
Q.48. A closed organ pipe of length ‘L_{1}’ and an open organ pipe contain diatomic gases of densities ‘\rho_{1}‘ and ‘\rho_{2}‘ respectively. The compressibilities of the gases are the same in both pipes, which are vibrating in their first overtone with the same frequency. The length of the open organ pipe is (Neglect end correction):
A. \frac{4 \mathrm{~L}_{1}}{3}
B. \frac{4 L_{1}}{3} \sqrt{\frac{\rho_{1}}{\rho_{2}}}
C. \frac{4 L_{1}}{3} \sqrt{\frac{\rho_{2}}{\rho_{1}}}
D. \frac{3}{4 L_{1}} \sqrt{\frac{\rho_{1}}{\rho_{2}}}
Answer: B. \frac{4 L_{1}}{3} \sqrt{\frac{\rho_{1}}{\rho_{2}}}
Q.49. From a metallic surface photoelectric emission is observed for frequencies v_{1} and v_{2}\left(v_{1}>v_{2}\right) of the incident light. The maximum values of the kinetic energy of the photoelectrons emitted in the two cases are in the ratio 1: x. Hence the threshold frequency of the metallic surface is:
A. \frac{v_{1}-v_{2}}{x}
B. \frac{v_{1}-v_{2}}{x-1}
C. \frac{x v_{1}-v_{2}}{x-1}
D. \frac{x v_{2}-v_{1}}{x-1}
Answer: C. \frac{x v_{1}-v_{2}}{x-1}
Q.50. In an AC circuit, the current is \mathrm{i}=5 \sin \left(100 \mathrm{t}-\frac{\pi}{2}\right) \mathrm{A} and voltage is e=200 \sin (100 t) volt. Power consumption in the circuit is (\cos 90^{\circ}=0):
A. 200 W
B. 0 W
C. 40 W
D. 1000 W
Answer: B. 0 W
Chemistry
Q.1. Which of the following molecules has no lone pair of electrons on central atom?
A. \mathrm{SO}_{2}
B. \mathrm{SF}_{6}
C.\mathrm{NH}_{3}
D.\mathrm{SF}_{4}
Answer: B. \mathrm{SF}_{6}
Q.2. Calculate \Delta \mathrm{G}^{\circ} for the cell:
\mathrm{Sn}_{(\mathrm{s})}\left|\mathrm{Sn}_{(1 \mathrm{M})}^{2+}\right|\left|\mathrm{Ag}_{(1 \mathrm{M})}^{+}\right| \mathrm{Ag}_{(\mathrm{s})}at 25^{\circ} \mathrm{C}\left(\mathrm{E}_{\text {cell }}^{\circ}=0.90 \mathrm{~V}\right)
A. -173.7 kJ
B. -225.3 kJ
C. -100.2 kJ
D. -290.8 kJ
Answer: A. -173.7 kJ
Q.3. Which from following statements is NOT correct?
A. All alkali metals are silvery white.
B. Density of potassium is less than sodium.
C. Compounds of group-1 elements are diamagnetic.
D. Melting point of group-1 elements increase down the group.
Answer: D. Melting point of group-1 elements increase down the group.
Q.4. A compound made of elements A and B form fce structure. Atoms of A are at the corners and atoms of B are present at the centres of faces of cube. What is the formula of the compound?
A. AB
B.\mathrm{AB}_{2}
C.\mathrm{AB}_{3}
D. \mathrm{A}_{2} \mathrm{~B}
Answer: C. \mathrm{AB}_{3}
Q.5. What are different possible oxidation states exhibited by scandium?
A. +4
B. +5
C. +4,+5
D. +2,+3
Answer: D. +2,+3
Q.6. Which from following is the slope of the graph of rate versus concentration of the reactant for first order reaction?
A. -k
B. k
C. \frac{\mathrm{k}}{2.303}
D. \frac{-\mathrm{k}}{2.303}
Answer: B
Q.7. What is the packing efficiency of silver metal in its unit cell?
A. 52.4 \%
B. 68.0 \%
C. 32.0 \%
D. 74.0 \%
Answer: D. 74.0 \%
Q.8. Which from following polymers is obtained from C2F4 ?
A. PVC
B. Polyisobutylene
C. Polyacrylonitrile
D. Teflon
Answer: D. Teflon
Q.9. Calculate current in ampere required to deposit 4.8 g Cu from it’s salt solution in 30 minutes. [Molar mass of \mathrm{Cu}=63.5 \mathrm{~g} \mathrm{~mol}^{-1} ]
A. 8.1 ampere
B. 6.4 ampere
C. 10.5 ampere
D. 12.3 ampere
Answer: A. 8.1 Ampere
Q.10. Identify number of moles of donor atoms in 2 n mole of \mathrm{SCN}^{-} .
A. 3 n
B. 6 n
C. 4 n
D. n
Answer: C. 4n
Q.11. 0.2 M aqueous solution of glucose has osmotic pressure 4.9 atm at 300 K . What is the concentration of glucose if it has osmotic pressure 1.5 atm at same temperature?
A. 0.03 M
B. 0.04 M
C. 0.05 M
D. 0.06 M
Answer: D. 0.06 M
Q.12. Identify the product when phenol is heated with zinc dust.
A. Benzoquinone
B. Cyclohexane
C. Benzene
D. Cyclohexanol
Answer: C. Benzene
Q.13. Identify the product ‘ B ‘ in the following reaction.
Dry\; Ice\xrightarrow[Dry\; ether]{CH_{3}MgBr}A\xrightarrow[dil. HCl]{H_{2}O}BA. Methanoic acid
B. Ethanoic acid
C. Methanol
D. Ethanol
Answer: B. Ethanoic acid
Q.14. Which among the following reactions exhibits \Delta \mathrm{H}=\Delta \mathrm{U} ?
A.\mathrm{H}_{2(\mathrm{~g})}+\mathrm{Br}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{HBr}_{(\mathrm{g})}
B.2 \mathrm{CO}_{(\mathrm{g})}+\mathrm{O}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{CO}_{2(\mathrm{~g})}
C. \mathrm{PCl}_{5(\mathrm{~g})} \rightarrow \mathrm{PCl}_{3(\mathrm{~g})}+\mathrm{Cl}_{2(\mathrm{~g})}
D.\mathrm{C}_{(\mathrm{s})}+2 \mathrm{H}_{2} \mathrm{O}_{(\mathrm{g})} \rightarrow 2 \mathrm{H}_{2(\mathrm{~g})}+\mathrm{CO}_{2(\mathrm{~g})}
Answer: A.
Q.15. A buffer solution is prepared by mixing 0.2 M sodium acetate and 0.1M acetic acid. If pKa for acetic acid is 4.7 , find the pH.
A. 3.0
B. 4.0
C. 5.0
D. 2.0
Answer: C. 5.0
Q.16. A solution of nonvolatile solute is obtained by dissolving 3.5 g in 100 g solvent has boiling point elevation 0.35 K . Calculate the molar mass of solute.
(Molal elevation constant =2.5 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1} )
A. 270 \mathrm{~g} \mathrm{~mol}^{-1}
B. 260 \mathrm{~g} \mathrm{~mol}^{-1}
C. 250 \mathrm{~g} \mathrm{~mol}^{-1}
D. 240 \mathrm{~g} \mathrm{~mol}^{-1}
Answer: C. 250 \mathrm{~g} \mathrm{~mol}^{-1}
Q.17. At 0^{\circ} \mathrm{C} a gas occupies 22.4 liters. What is the temperature in Kelvin to reach the volume of 224 liters?
A. 546 K
B. 273 K
C. 2730 K
D. 5460 K
Answer: C. 2730 K
Q.18. Which from following rule / principle states that “No two electrons in an atom can have the same set of four quantum numbers”?
A. Pauli’s exclusion principle
B. Hund’s rule
C. Aufbau rule
D. Heisenberg uncertainty principle
Answer: A. Pauli’s exclusion principle
Q.19. Which from following molecules exhibits highest acidic nature?
(A) \mathrm{H}_{2} \mathrm{O}
(B) \mathrm{H}_{2} \mathrm{~S}
(C) \mathrm{H}_{2} \mathrm{Se}
(D) \mathrm{H}_{2} \mathrm{Te}
Answer: D. \mathrm{H}_{2} \mathrm{Te}
Q.20. What is the number of moles of \mathrm{sp}^{2} hybrid carbon atoms in one mole of hexa-1,4-diyne?
A. 5
B. 3
C. 4
D. Zero
Answer: D. zero
Q.21. Which of the following is NOT obtained when a mixture of methyl chloride and n-propyl chloride is treated with sodium metal in dry?
A. Ethane
B. Butane
C. Propane
D. Hexane
Answer: C. Propane
Q.22. Which carbon atoms (numbered from C1 to C6) are involved in the formation of ring structure of glucose?
A. C2 and C5
B. C1 and C3
C. C1 and C4
D. C1 and C5
Answer: D. C1 and C5
Q.23. Calculate the amount of reactant in percent that remains after 60 minutes involved in first order reaction. \left(\mathrm{k}=0.02303\right. minute { }^{-1} )
A. 25 \%
B. 75 \%
C. 50 \%
D. 12.5 \%
Answer: A. 25%
Q.24. Which salt from following forms aqueous solution having pH less than 7 ?
A. \mathrm{CH}_{3} \mathrm{COONa}
B.\mathrm{Na}_{2} \mathrm{SO}_{4}
C.\mathrm{CuSO}_{4}
D.\mathrm{Na}_{2} \mathrm{CO}_{3}
Answer: C. \mathrm{CuSO}_{4}
Q.25. Identify neutral ligand from following
A. Ammine
B. Nitrato
C. Cyano
D. Chloro
Answer: A. Ammine
Q.26. Identify the product ‘ B ‘ in following reaction.
Ethyl phenyl ketone
\xrightarrow{\mathrm{H}_{2} \mathrm{~N}-\mathrm{NH}_{2}} \mathbf{A} \xrightarrow[\Delta]{\mathrm{KOH}, \mathrm{HO}-\left(\mathrm{CH}_{2}\right)_{2}-\mathrm{OH}}A. Phenylhydrazone
B. Ethyl benzene
C. n-Propyl benzene
D. Isopropyl benzene
Answer: C. n-Propyl benzene
Q.27. Which of the following amines undergoes acylation reaction?
A. Ethyldimethylamine
B. N-Methylaniline
C. N,N-Dimethylmethanamine
D. N,N-Dimethylaniline
Answer: B. N-Methylaniline
Q.28. What is the IUPAC name of following compound?
A. 1-Methylbut-2-en-1-amine
B. Pent-3-en-2-amine
C. Pent-2-en-4-amine
D. 4-Methylbut-2-en-4-amine
Answer: B. Pent-3-en-2-amine
Q.29. What is the number of unit cells when one mole atom of a metal that forms simple cubic structure?
A. 6.022 \times 10^{23}
B. 1.204 \times 10^{24}
C. 9.033 \times 10^{23}
D. 3.011 \times 10^{23}
Answer: A. 6.022 \times 10^{23}
Q.30. Identify the gas produced due to reduction of \mathrm{NH}_{4}^{+} ions at cathode during working of dry cell.
A. Ammonia
B. Hydrogen
C. Hydrogen chloride
D. Chlorine
Answer: B. Hydrogen
Q.31. Which of the following is secondary benzylic alcohol?
A)
B)
C)
D)
Answer: B.
Q.32. Find the value of spin-only magnetic moment for chromium cation in +2 state.
A. 3.87 BM
B. 4.90 BM
C. 2.84 BM
D. 1.73 BM
Answer: B. 4.90 BM
Q.33. An ideal gas expands by performing 200 J of work, during this internal energy increases by 432 J. What is enthalpy change?
A. 200 J
B. 232 J
C. 432 J
D. 632 J
Answer: D
Q.34. Calculate the wavenumber of the photon emitted during transition from the orbit of n=2 to n=1 in hydrogen atom. \left[R_{H}=109677 \mathrm{~cm}^{-1}\right]
A. 27419.3 \mathrm{~cm}^{-1}
B. 109677.0 \mathrm{~cm}^{-1}
C. 12064.5 \mathrm{~cm}^{-1}
D. 82257.8 \mathrm{~cm}^{-1}
Answer: D. 82257.8 \mathrm{~cm}^{-1}
Q.35. Calculate the value of \Delta G for the following reaction at 300 K.
\mathrm{H}_{2} \mathrm{O}_{(\mathrm{s})} \longrightarrow \mathrm{H}_{2} \mathrm{O}_{(l)} \left(\Delta \mathrm{H}=7 \mathrm{~kJ}, \Delta \mathrm{~S}=24.8 \mathrm{~J} \mathrm{~K}^{-1}\right)A. 0.74 \mathrm{~kJ} \mathrm{~mol}^{-1}
B. -0.82 \mathrm{~kJ} \mathrm{~mol}^{-1}
C. 0.21 \mathrm{~kJ} \mathrm{~mol}^{-1}
D. -0.44 \mathrm{~kJ} \mathrm{~mol}^{-1}
Answer: D. -0.44 \mathrm{~kJ} \mathrm{~mol}^{-1}
Q.36. What is the oxidation state of carbon in \mathrm{CaC}_{2} and \mathrm{K}_{2} \mathrm{C}_{2} \mathrm{O}_{4} respectively?
A. -2 and +6
B. -1 and +3
C. +2 and +2
D. -2 and +3
Answer: B
Q.37. What type of reaction is the formation of aldol from aldehyde?
A. Condensation reaction
B. Addition reaction
C. Substitution reaction
D. Elimination reaction
Answer: A. Condensation reaction
Q.38. Identify homopolymer from following.
A. Polyacrylonitrile
B. Glyptal
C. Polycarbonate
D. Buna-S
Answer: A. Polyacrylonitrile
Q.39. Identify the chiral molecule from following.
A. 2-Bromopropane
B. 2-Bromo-2-methylbutane
C. 2-Bromo-3-methylbutane
D. 3-Bromopentane
Answer: C. 2-Bromo-3-methylbutane
Q.40. What is the mass in gram of 1 atom of an element if its atomic mass is 10 u?
A. 2.06056 \times 10^{-22} \mathrm{~g}
B. 1.66056 \times 10^{-23} \mathrm{~g}
C. 1.06056 \times 10^{-24} \mathrm{~g}
D. 3.66056 \times 10^{-25} \mathrm{~g}
Answer: B. 1.66056 \times 10^{-23} \mathrm{~g}
Q.41. Solubility of a salt \mathrm{A}_{2} \mathrm{~B}_{3} is 1 \times 10^{-3} \mathrm{~mol} \mathrm{dm}^{-3}. What is the value of its solubility product?
A. 1.08 \times 10^{-13}
B. 8.1 \times 10^{-15}
C. 2.7 \times 10^{-15}
D. 2.0 \times 10^{-13}
Answer: A. 1.08 \times 10^{-13}
Q.42. Identify the element having general electronic configuration \mathrm{ns}^{2} \mathrm{np}^{4} from following.
A. Se
B. Br
C. Xe
D. Kr
Answer: A. Se
Q.43. Identify the product A obtained in the following reaction.
Reaction:
Phenol + Conc. Nitric acid \xrightarrow{\text { conc, }^{\mathrm{H}_{2} \mathrm{SO}_{4}}} \mathrm{A}
A. o-Nitrophenol
B. p-Nitrophenol
C. 2,4,6-Trinitrophenol
D. Mixture of ortho and para-nitrophenol
Answer: C. 2,4,6-Trinitrophenol
Q.44. What is the value of specific rotation exhibited by glucose molecule?
A. +52.7^{\circ}
B. -92.4^{\circ}
C. +66.5^{\circ}
D. +40.3^{\circ}
Answer: A. +52.7^{\circ}
Q.45. What type of information is collected using scanning electron microscopy?
A. Structure of material surface
B. Crystal structure
C. Binding nature
D. Particle size
Answer: A
Q.46. Identify the reagent A in the following conversion.
Reaction:
Alkyl halide \xrightarrow{A} Alkyl nitrite
A. \mathrm{KNO}_{3}
B. \mathrm{NaNO}_{3}
C. \mathrm{AgNO}_{2}
D. \mathrm{KNO}_{2}
Answer: D. \mathrm{KNO}_{2}
Q.47. What is the number of moles of water molecules required to prepare n moles of methane from n moles of methyl magnesium iodide?
A. n
B. 2n
C. 0.5n
D. 0.1n
Answer: A. n
Q.48. Which of the following metals is used as catalyst in manufacture of sulphuric acid by contact process?
A. Iron
B. Platinum
C. Nickel
D. Cobalt
Answer: B. Platinum
Q.49. The rate for reaction A+B\rightarrow Product, is 1.8\times10^{-2}mol\;dm^{-3}s^{-1} Calculate the rate constant if the reaction is second order in A and first order in B. ([A] = 0.2M; [B] = 0.1M)
A. 9.0 mol-2 dm6 s-1
B. 18.0 mol-2 dm6 s-1
C. 4.5 mol-2 dm6 s-1
D. 16.0 mol-2 dm6 s-1
Answer: C. 4.5 mol-2 dm6 s-1
Q.50. Which of the following concentration terms depends on temperature?
A. Molality
B. Molarity
C. Mole fraction
D. Percent by mass
Answer: B. Molarity