ROUGH WORK


1. The law of conservation of angular momentum is
r r
rr
L r × p dL
dt 0
r
dp dt 0
2.
(A) 23 (B)5v33
20 26
3. Which of the following operations between two vectors can yield a vector perpendicular to either of them

subtraction division


addition multiplication


4. The moment of inertia of a body does not depend on

distribution of mass of body mass of the body


angular velocity of the body axis of rotation of body


5. A projectile is fired at 30º with momentum p. Neglecting air friction, the change in its kinetic energy when it returns to the ground will be
r
r r
r
The p MscalarV product of vectors A 5ˆ 3ˆj+
100% 2ˆi k and B 4kˆ is 60%
cm
30% zero
6. The forces of magnitudes 8 N and 15 N act at a point. If the resultant force is 17 then the angle between the forces is

90º 30º


45º 60º


7. The angular speed of seconds hand of a watch in radian per second is

p/3 p/2


p/30 p/60


8. A liquid drop of diameter 4 mm breaks into 1000 droplets of equal size. If the surface tension of the liquid is 0.07 then the resultant change in the surface energy is

31.68 × 10-6 J 34.65 × 10-6 J


31.68 × 10-7 J 34.65 × 10-7 J



9. What force should applied on a 5.0 kg body so that it has a downward acceleration of 4 m/sec-1

69 N . 69 N .


29 N . 29 N .


10. When a particle executing S.H.M. passes through the mean position, it has

maximum kinetic energy and minimum potential energy


minimum kinetic energy and maximum potential energy


maximum kinetic energy and maximum potential energy


minimum kinetic energy and minimum potential energy


11. Energy required to shift a body of mass m from an orbit of radius 2R to 3R around earth mass of earth and R radius of earth) is

GMm/12R2 GMm/3R2


GMm/8R GMm/6R


12. To maintain a rotor at a uniform angular speed of 200 rad an engine needs to transmit a torque of 180 M m. The power of the engine required is

380 kW 36 kW


90 kW 900 kW


13. For Geostationary satellites

The time period is equal to that of the revolution of the earth around the sun


The radius of the orbit is dependant on the mass of the earth


The time period depends on the mass of the satellite


The time period is equal to that of rotation of the earth about its axis


14. For a simple pendulum, the graph between the length and time period will be a

Ellipse Parabola


Hyperbola Straight line


15. The total energy of a particle vibrating in S.H.M. is proportional to the square of its

velocity acceleration


amplitude none of the above


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16. The mass of a particle would be double of its rest mass if the particle is moving with a velocity of

1.73 c 0.93 c


0.866 c 0.98 c
where c being the velocity of light.



17. Pitch of sound depends on

frequency speed


amplitude wavelength


18. Two wires of the same material have diameters in the ratio 2 1 and lengths in the ratio 1 2. If they are stretched with same force then ratio of their elongation will be

8 1 1 8


2 1 1 4


19. If there is no external force acting on a non rigid body, which of the following quantities must remain constant

linear momentum angular momentum


kinetic energy potential energy


20. The capacitance required to produce ultrasonic wave of 106 Hz with an inductance of 1 Henry is

25 µF 0.0025 µF


250 µF 0.025 µF


21. The laws of vibrations of strings can be verified using

Pyrometer Micrometer


Tuning fork Sonometer


22. The longest wavelength of transverse wave in a stretched string of length 25 cm is

25 cm 50 cm


100 cm 12.5 cm


23. A 4 kg object is slowly lifted 1.5 m distance, then the work done against the gravity is

39.2 J 42.8 J


33.9 J 58.8 J



24. The distance between one node and the next antinode is

./2 .


./4


25. The motion of a projectile is described by an equation y ax bx2. Then the range of the projectile will be

b/a a b


a b a/b


26. Doppler shift in frequency does not depend upon

the actual frequency of the wave


the distance of the source from the listener


the velocity of the source


the velocity of the observer


27. x 4 cos .t 3 sin .t is the equation of a particle executing SHM. The initial phase angle is

37º 53º


90º none of these


28. Stoke's theorem is applicable only to

pure liquids solutions


non-viscous liquids viscous liquids


29. If the bulk modulus of water is 2100 MPa, then what is the speed of sound in water

1450 m/sec 2100 m/sec


0.21 m/sec 21 m/sec


30. Y-axis of a quartz crystal is

Optic axis electric axis


Mechanical axis magnetic axis


31. When white light passes through a prism, seven colors can be seen in the outgoing light. These colors are produced due to the phenomenon

absorption of light interference of light


dispersion of light scattering of light


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32. To obtain the sustained interference pattern, we require two sources of light which emit radiation of

different wavelengths


nearly the same frequency


same frequency with definite phase relationship


same frequency


33. To observe diffraction, what should be the size of the obstacle

same as that of wavelength much larger than wavelength


no size limit exactly half of the wavelength


34. The Young's experiment establishes that light has

wave nature particle nature


neither wave nor particle nature both wave and particle nature


35. A slit width of is illuminated by a light of . 6500 Å. The first minimum falls at . 30º. The value of is

3250 Å 6.5 × 10-4 nm


1.3 microns 2.6 × 10-4 nm


36. In Fraunhofer diffraction, the width of the central maximum is proportional to

1/.2 .2


1/. .


37. In a Brewster experiment, the angle between the reflected and refracted rays will be

30º 90º


60º 180º


38. Longitudinal waves do not exhibit the phenomenon of

Reflection Refraction


Diffraction Polarisation


39. The device which produces highly coherent sources is

Llyod's mirror LASER


Fresnel's Biprism Young's double slit



40. The radius of the first zone in a zone plate of focal length 20 cm for a light of
. 5000 Å is given by

0.0316 cm 0.001 cm


0.0316 m 0.001 m


41. The transverse nature of light is proved by

Dispersion Interference


Polarisation Refraction


42. Rayleigh-Jeans formula agree for

long wavelength region short wavelength region


entire range of wavelength none of the above


43. The effective focal length of Huygen's Eye piece is equal to

2f/3 3f/2


f/2 3f/5


44. A rotating calcite crystal is placed over an ink dot. On seeing through the crystal, one finds

two stationary dots


two dots moving along a straight line


one dot rotating about the other


both dots rotating about a common axis


45. The polarising angle for glass material is

57º 90º


60º 47º


46. In which of the following the final image is erect

Astronomical telescope Compound microscope


Simple microscope none of these


47. The wavelength of emission from He-Ne laser is

106.4 nm 337.1 nm


1694.3 nm 632.8 nm


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48. Light reflected from a surface of glass plate of refractive index 1.57 is linearly polarized. The angle of refraction in the glass is

47.5º 57.5º


32.5º 23.5º


49. If we plot a graph between distance of object and that of image formed by a convex lens, the nature of the graph will be

parabola ellipse


hyperbola straight line


50. Ruby laser belongs to

two level laser five level laser


four level laser three level laser


51. Two stars A and B radiate maximum energy at wavelengths 36 × 10-8 m and 48 × 10-8 m respectively. The ratio of their absolute temperatures will be

4 3 3 4


256 81 81 256


52. For a gas at a particular temperature on the average, which of the following quantities is the same for all the molecules

velocities momentum


angular momentum kinetic energy


53. The absolute temperature of a gas is increased three times, then the rms velocity of the molecules will increase by

3 times 2 times


1/3 times v3 times


54. According to kinetic theory of gases, what does the quantity PV/kT represent

mass of the gas kinetic energy of the gas


number of moles of gas number of molecules of gas


55. The temperature T1 and T2 of heat reservoirs in the ideal Carnot engine are 1500º C and 500 º respectively. If T1 increases by 100º what will be the efficiency of the engine

62% 59%


95% 100%



56. A gas is suddenly compressed to 1/4th of its original volume. If the original temperature is 27º C and . 1.5, then the rise in temperature will be

300º C 600 K


327º C 627 K


57. At which temperature the adiabatic change is equivalent to the isothermal change

Zero degree Celsius Zero Kelvin


Critical temperature Above critical temperature


58. First law of thermodynamics is a special case of

Charles law


Law of conservation of energy


Newton's law


Law of heat exchange


59. In an ideal gas, internal energy of system depends on

Temperature Pressure


Volume Molecular size


60. The rate of cooling at 600 if surrounding temperature is 300 is R. The rate of cooling at 900 K will be

16/3 R 2 R


3 R 2/3 R


61. The mean kinetic energy of perfect gas molecule at temperature T is

kT/2 kT


3kT/2 2kT


62. When heat is added to a pure liquid

the temperature increases and the entropy is unchanged


the temperature increases and the entropy increases


the temperature increases and the entropy decreases


the temperature is unchanged and the entropy increases


63. In a reversible process, the entropy

does not change decreases


increases none of these


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64. When the pressure is increased, the boiling point of the liquid

increases


does not change


decreases


decreases first and increases later


65. The spectrum obtained from a black body is

line spectrum band spectrum


continuous spectrum absorption spectrum


66. Absorption power of a black body is

0.5 1.0


1.5 2.0


67. In which of the following processes, thermal conduction is maximum

Radiation Convection


Conduction All of these


rr68. The force between two charges of one Coulomb each separated by 1 m in vacuum is E =.V equal to

9.0 × 109 N 4.6 × 10-9 N


9.0 × 10-9 N 1.5 × 10-8 N


69. The relation between electric field and potential is
rr
E -.V
rr
r
E =.2V =.V
70. Energy stored in a capacitor is given by

U 3CV/2 U 1/2CV2


U C2V2/2 U CV2/2


71. The electrical resistance in an ideal capacitor for direct current is

zero 1


infinity 2



72. Self inductance of a long solenoid does not depend on

total number of turns length of the solenoid


area of cross section intensity of current


73. A parallel plate capacitor is connected across a 9 Volt battery. Each plate of the capacitor has the area of 0.0016 cm2 and the plate are separated by a distance of 5 mm in air. The charge on each plate is

2.54 × 10-8 Coulombs 3.54 × 10-8 Coulombs


2.54 × 10-9 Coulombs 3.54 × 10-9 Coulombs


74. The force experienced by a wire of length 10 cm kept at an angle of 30º to the magnetic field of 0.5 T and carrying a current of 6 amperes is

5.48 × 10-3 N 5.48 × 10-2 N


0.15 N 0.2 N


75. Potential inside a hollow spherical conductor is

Constant varies directly with distance from centre


varies inversely with distance varies inversely as square of distance


76. The capacitance unit of most convenient size is

Billion Farad Micro Farad


Kilo Farad Mega Farad


77. The ratio of the force between two charges in air and that in a medium of dielectric constant K is

K 1 1 K


K2 1 1 K2


78. Moving charge produces

electric field only magnetic field only


both electric and magnetic fields neither electric nor magnetic field


79. To convert line integral to surface integral, we use

Stoke's law Green's theorem


Cross product Gauss theorem


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80. Lenz law is a consequence of the law of conservation of

mass charge


energy momentum


81. Magnetic effect of current was discovered by

Kirchhoff Joule


Faraday Oersted


82. The eddy currents are produced in a material when it is

heated


placed in an electric field


placed in a time varying magnetic field


placed in a uniform magnetic field


83. The phase difference between the flux linked with a coil rotating in a uniform mag­netic field and induced emf produced in it is
zero p/4
r
r

p/2 pE
H
×
HE
84. The frequency of AC mains in India is

30 Hz 50 Hz


60 Hz 110 Hz


85. If and are electric and magnetic field vectors, then the propagation of e.m. wave is along the direction of







86. An LCR circuit contains L 8 C 0.5 µF and R 100 ohms. What will be the resultant frequency in Hz

1000/p 500/p


250/p 125/15



87. The rms value of the a.c. current is equal to

twice the peak value half of the peak value


times the peak value equal to peak value


88. The differential form of Faraday's law is
.H

.B

.. .

.. .

.. .

.. .









.t
.

t
.

.B

H

.. .

.. .
.. .
.. .





.

.

t t
89. The energy stored in the magnetic field of a solenoid of inductance 5 mH, when maximum current of 3 amperes flows through it is
-4
2.25 × 10J 2.55 × 10J
-4
22.5 × 10J 22.5 × 10J
90. Three capacitors of 1 µF, 2 µF and 3 µF are joined in series first and then in parallel. The ratio of equivalent capacitance in two cases is

6 5 11 1


1 11 5 6


91. The value of magnetic permeability of free space is
-7
2p × 10WbAm × 10WbAm
-9
2p × 10WbAm × 10WbAm
92. de-Broglie wavelength associated with a hydrogen molecule moving with a velocity of 3 km/sec is
-11 -11
3.6 × 10m 4.6 × 10m
-12 -11
3.3 × 10m 6.6 × 10m
93. The work function of sodium, if its threshold wavelength is 5040 is
-19 -19
3.298 × 10J 3.289 × 10J
-19 -19
3.982 × 10J 3.928 × 10J
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94. When boron is added as an impurity to silicon, the resulting material is

n-type conductor n-type semiconductor


p-type conductor p-type semiconductor


95. When electron in hydrogen atom jumps to the inner most orbit, the radiation emitted belongs to

Paschen series Balmer series


Lyman series Brackett series


96. Proton and alpha particle have the same de-Broglie wavelength. Which of the following is also same for them

the time period energy


frequency linear momentum


97. The energy required to remove the electron from n 10 state in hydrogen atom is

13.6 eV 1.36 eV


0.136 eV 0.0136 eV


98. Davisson and Germer experiment provides the

diffraction of electron existence of electrons


existence of nucleus existence of proton


99. For which of the following, the ionising power is maximum

ß-rays a-rays


.-rays IR rays


100. One Fermi is equal to
-15 -15
(A) 10 cm m2
-15 -15
(C) 10 m cm2
101. The half life period of radioactive nuclei is
0.693/. 0.123/.
./0.693 .2/0.693
102. Sun releases energy by the process of

Nuclear fission Nuclear fusion


Nuclear repulsion Nuclear attraction



103. The traditional unit of radioactivity is Curie It is equivalent to

106 disintegrations/second 3.7 × 1010 disintegrations/second


one disintegration/second 3.7 × 106 disintegrations/second


104. Name the conservation law violated in .e p . n e+.

Charge Baryon number


Strangness number Lepton number


105. Alpha particles are nothing but

3H nuclei 2H nuclei


4He nuclei 3He nuclei


106. A particle with no charge and no mass is

Proton Neutron


Positron Photon


107. Particles more than one proton are called

mesons A-particles


hyperons Gravitons


108. Elementary particles whose mass is more than that of nucleons are called

Laptons Mesons


Baryons Positrons


109. When a gamma-ray interacts with matter, the probability of occurring photoelectric effect is

at lower energies at higher energies


at medium energies none of the above


110. In intrinsic semiconductor, the Fermi level lies

near the valance band


near the conduction band


exactly in between valance and conduction bands


within the conductance band


111. The ripple factors for half wave and full wave rectifiers are

1.21, 0.48 0.48, 1.21


0.46, 1.3 1.3, 0.46


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112. In a transistor circuit, the collector current is 10 mA. If 90% of the holes reach the collector, the emitter current is

1 mA 11 mA


1 A 11 A


113. The turn-on voltage of a germanium junction diode is
0.1 V 0.3 V 1.0 V 0.7 V
114. The bulk resistance of a diode is the resistance of the junction only


the resistance of the n-type material only


the resistance of p-type material only


the resistance of p-type and n-type materials


115. Reverse bias applied to a junction diode

increases the minority carrier current


lowers the potential barrier


raises the potential barrier


increases the majority carrier current


116. The value of current gain in Common Base amplifier is

greater than one less or greater than one


less than one none of the above


117. A transistor is a

voltage device


low voltage and high current device


current device


high voltage and low current device


118. A material with overlapping of conduction and valence bands will be

a superconductor a semiconductor


an insulator a metal



119. Which of the following represents the logic addition

1 1 10 1 1 1


1 1 2 none of these


120. A semiconducting device is connected in a series circuit with a battery and a resistance. A current is found to pass through the circuit. If the polarity of the battery is reversed, the current drops to almost zero. The device may be

a p-type semiconductor an n-type semiconductor


a p-n junction an intrinsic semiconductor