1. UPSEE –PAST PAPERS
PHYSICS - UNSOLVED PAPER - 2000

2. SECTION – I
 Straight Objective Type
 This section contains multiple choice questions numbered 100. Each question has 4 choices (A), (B), (C)
and (D), out of which ONLY ONE is correct.

3. 01 Problem
Amplification factor of a triode is 20.Its plate resistance is 10 k . Than its
mutual conductance is:
a. 2 x 10-3 mho
b. 500 mho
c. 2 x 104 mho
d. 2 x 103 mho

4. 02 Problem
An open pipe is suddenly closed at one end with the result that the frequency
of third harmonic of the closed pipe is found to be higher by 100 Hz, then the
fundamental frequency of open pipe is
a. 480Hz
b. 300Hz
c. 240Hz
d. 200Hz

5. 03 Problem
If the earth is treated as a sphere of radius R and mass M, its angular
momentum about the axis f its rotation with period T, is :
a.  MR3
T
b. MR2
T
c. 2 MR
2
5T
d. 4 MR
2
5T

6. 04 Problem
When a horse pulls a wagon, the force that causes the horse to move forward is
the force :
a. the ground exerts on him
b. he exerts on the ground
c. the wagon exerts on him
d. he exerts on the wagon

7. 05 Problem
A body initially at 800 C cools to 64 0 C in5 min and to 52 0 C in 10 min. The
temperature of the body after 15 min, will be :
a. 42.70C
b. 350C
c. 470C
d. 400C

8. 06 Problem
If a shell fired from a cannon, explodes in mid air, then :
a. its total kinetic energy increases
b. its total momentum increases
c. its total momentum decreases
d. none of the above

9. CV =
07 Problem
when U235 is bombarded with one neutron, the fission occurs and the products
are three neutrons, 36Kr94 and:
a. 142
53I
b. 139
56Ba
c. 139
58Ce
d. 139
54Xe

10. 08 Problem
t of
A particle moves in a circle of radius 25cm at 2rev/s.The acceleration t
particle is :
a. 2π2m /s2
b. 4 π 2m/s2
c. 8 π 2m/s2
d. π 2m/s2

11. 09 Problem
The photoelectric effect can be understood on the basic of:
a. the principal of superposition
b. the electromagnetic theory of light
c. the special theory of relativity
d. plank’s quantum theory

12. 10 Problem
The self –include emf is 4 H in the coil when current in it changes at the rate of
500A/s , is :
a. 8 x10-4 V
b. 8 x10-3 V
c. 200 V
d. 500 V

13. 11 Problem
The energy equivalent to a kilogram of matter is about:
a. 1020 J
b. 1017 J
c. 1014 J
d. 1011 J

14. 12 Problem
The temperature at which the speed of sound in air becomes double of its value
at 270C. is
a. 01230C
b. 9270C
c. 3270C
d. 540 C

15. 13 Problem
The index of refraction of diamond is 2.0. the velocity of light in diamond is
approximately:
a. 1.5 x 1010cm/s
b. 2 x 1010cm/s
c. 3.0 x 1010cm/s
d. 6 x 1010cm/s

16. 14 Problem
A particle moves along x-axis in such a way that its co-ordinate(x) varies with
time t according to the expression x=(2-5t +) 6t2)m, the initial velocity of the
particle is:
a. 3 m/s
b. 6 m/s
c. -3 m/s
d. -5 m/s

17. 15 Problem
A force of 100 dyne acts on a mass of 5 g for 10s. The velocity produced is :
a. 2000 cm/s
b. 200 cm./s
c. 20 cm/s
d. 2 c/s

18. 16 Problem
A current of 1 mA flows through a copper wire. How many electrons will pass
through a given point in each second:
a. 6.25 x 108
b. 6.25 x 1031
c. 6.25 x 1015
d. 6.25 x 1019

19. 17 Problem
A hollow sphere of charge does not produce an electric field at any:
a. Outer point
b. Interior point
c. Beyond 2 m
d. Beyond 10 m

20. 18 Problem
The line on the earth’s surface joining the point where the field is horizontal, is
called:
a. Magnetic equator
b. Magnetic line
c. Magnetic axis
d. Magnetic inertia

21. 19 Problem
How many wavelength of the Kr89 are there in 1 m?
a. 658189. 63
b. 2348123. 73
c. 1650763. 73
d. 1553164. 12

22. 20 Problem
A bomb of 12 kg explodes into two pieces of masses 4 kg and 8 kg. The velocity
of 8 kg Mass is 6 m/s. the kinetic energy of the other mass will be:
a. 288 J
b. 24 J
c. 12 J
d. 48 J

23. 21 Problem
Venus looks brighter than other stars, due to :
a. Atomic fusion takes place on its surface
b. It is closer to the earth than other stars
c. Its has higher density than other stars
d. It is heavies than other stars

24. 22 Problem
The equation of wave traveling in a string can be written as y = 3 cos π (100t -
x), its wavelength is :
a. 5 cm
b. 2 cm
c. 100 cm
d. 3 cm

25. 23 Problem
How many calories of heat will be produced approximately in a 210 W electric
bulb in 5 min ?
a. 80000 Cal
b. 63000 cal
c. 1050 cal
d. 15000 cal

26. 24 Problem
An adiabatic process occurs at constant :
a. Temperature and pressure
b. Heat
c. Temperature
d. Pressure

27. 25 Problem
Consider an iceberg floating in sea water. The density of sea water is 1.03 g/cc
and that of ice is 0.92g/cc. The fraction of total volume of iceberg above the
level of sea water is nearby :
a. 1. 8%
b. 3%
c. 8%
d. 11%

28. 26 Problem
Two lenses of power + 12 and – 2 D are place in contact. The combined focal
length of the combination will be :
a. 8.33 cm
b. 16.6 cm
c. 12.5 cm
d. 10 cm

29. 27 Problem
A stretched string of length l fixed at both ends can sustain stationary wave of
wavelength , given by :
a.   2ln
2l
b.  
n
c. l2

2n
d.   n2
2l

30. 28 Problem
Eight drops of mercury of equal radius and possessing equal charge combine to
form a big drop. The capacitance of bigger drop as compared to each small
drop is ;
a. 16 times
b. 8 times
c. 4 times
d. 2 times

31. 29 Problem
Two waves having the intensities in the ratio of 9 : 1 produce interference. The
ratio of maximum to the minimum intensity, is equal to :
a. 2 : 1
b. 4 : 1
c. 9 : 1
d. 10 : 8

32. 30 Problem
Ultraviolet radiation of 6. 2 eV falls on an aluminium of surface (work function
4.2 eV). The kinetic energy of the faster electron emitted is approximately :
a. 3.2 x 10-15 J
b. 3.2 x 10-17 J
c. 3.2 x 10-19 J
d. 3.2 x 10-21 J

33. 31 Problem
Two heater wires of equal length are first connected in series and then in
parallel. The ratio of heat produced in the two cases is :
a. 1 : 4
b. 4 : 1
c. 1 : 2
d. 2 : 1

34. 32 Problem
A cell of emf E is connected across a resistance R. The potential difference
between the terminals of the cell is found to be V volt. Then the internal
resistance of the cell must be
a. (E - V)R
b.  E  V  R
V
c. 2  E  V  R
E
2 E  V 
d. V
R

35. 33 Problem
Two satellites A and B go round a planet in circular orbit having radii 4R and R,
respectively. If the speed of satellite A is 3v, then speed of satellite B is :
a. 3v
2
4v
b.
2
c. 6V
d.12 V

36. 34 Problem
A particle moves in x – y plane under the action of force at a given time t is Px
= 2 cos t, py = 2 sin t. Then the angel between at a given time t is Px =2 cos t,
py = 2 sin t. Then the angle between at a given time t is :
a. θ = 300
b. θ = 1800
c. θ = 00
d. θ= 900

37. 35 Problem
A simple harmonic wave having an amplitude A and time period T is
represented by the equation y = 5 sin π. Then the value of A in metre and T in
second are :
a. A = 10, T = 2
b. A = 5, T = 1
c. A = 10, T = 1
d. A = 5, T = 2

38. 36 Problem
In a room where the temperature is 300C a body cools from 610C to 590C in 4
min. The time (in minutes) taken by the body to cool from 510C to 490C will be
:
a. 8
b. 5
c. 6
d. 4

39. 37 Problem
A tuning fork vibrating with a sonometer having 20 cm wire produces 5
beats/s. The beat frequency does not change, if the length of the wire is
changed to 21 cm, the frequency of the tuning fork must be :
a. 215 Hz
b. 205 Hz
c. 210 Hz
d. 200 Hz

40. 38 Problem
The potential energy of a certain spring when stretched through a distance s is
10 J. The amount of work done in joule that must be done on this spring to
stretch, it through an additional distance s, will be :
a. 20
b. 10
c. 30
d. 40

41. 39 Problem
The reading of a spring balance when a block is suspended from it in air is 60
N. This reading is changed to 40 N when the block is submerged in water. The
specific gravity of the block must be therefore :
a. 3/2
b. 6
c. 2
d. 3

42. 40 Problem
A double convex thin lens made of glass (refractive index µ = 1.5) has both radii
of curvatures of magnitude 20 cm. Incident light rays parallel to the axis of the
lens, will converge at a distance L such that :
a. L=20/3
b. L = 40
c. L = 20 cm
d. L = 10 cm

43. 41 Problem
An astronomical telescope has a magnifying power 10, the focal length of the
eye-piece is 20 cm. The focal length of the objective is :
a. 1/200 cm
b. 1/2 cm
c. 200 cm
d. 2 cm

44. 42 Problem
A particle A has a charge q and particle B has charge + 4q with each of them
having the mass m. When allowed to fall from rest through same potential
difference, the ratio of their speed vA = vB will be :
a. 4 : 1
b. 1 : 4
c. 1 : 2
d. 2 : 1

45. 43 Problem
When a sound wave of frequency 300 Hz passes through a medium, the
maximum displacement of a particle of the medium is 0.1 cm. The maximum
velocity of the particle is equal to :
a. 60 cm/s
b. 30 cm /s
c. 60 π cm/s
d. 30 π cm/s

46. 44 Problem
When the current in coil changes form 8 A to 2 A in 3 x 10-2 s, the emf induced
in the coil is 2 V. the self-inductance of the coil is :
a. 10 mH
b. 20 mH
c. 5 mH
d. 1 mH

47. 45 Problem
A uniform metal rod of 2 mm2 cross-section is heated from 00C to 200C. The
coefficient of the linear expansion of the 20 m rod is 12 x 10-6/0C. If Young’s
modulus of elasticity is 1011 N/m2, the energy stored per unit volume of the
rod is :
a. 1440 J/m3
b. 15760 J/m3
c. 1500 J/m3
d. 2880 J/m2

48. 46 Problem
In an electroplating experiment m gram of silver is deposited when 4A of
current flows per 2 min. The amount of silver deposited by 6A of a current
flowing for 40 s will be :
a. 2 m gram
b. m/4gram
c. m/2 gram
d. 4 m gram

49. 47 Problem
The temperature of a body on Kelvin scale is found to x K. When it is measured
by Fahrenheit thermometer, it is found to be x0 F, then the value of x is ;
a. 40
b. 313
c. 574.25
d. 301.25

50. 48 Problem
A magnetic needle lying parallel to a magnetic field requires W units of work to
turn it through 600. the torque needed to maintain the needle in the position
will be :
a. 2W
b. 3 W
c. W
d. 3W

51. 49 Problem
A double convex thin lens made of refractive index 1.6 has radii of curvature 15
cm each. The focal length of this lens when immersed in a fluid of refractive
index 1.63, is :
a. 25 cm
b. 125 cm
c. 250 cm
d. -407.5 cm

52. 50 Problem
The wavelength of most energetic X-ray emitted when a metal target is
bombarded by 40 keV electron, is approximately :
a. 0.31 Å
b. 4 Å
c. 10 Å
d. 300 Å

53. 51 Problem
Current i is carried in a wire of length L . If the wire is formed into a circular
coil, the maximum magnitude of torque in a given field B, will be :
a. LiB2
2
2
b. Li B
2
2
c. L iB
4
L2 iB
d.
2

54. 52 Problem
A particle of mass m is projected with a velocity v making an angle of 450 with
the horizontal. The magnitude of the angular momentum of the particle about
the point of projection when the particle is at its maximum height, is ;
a. m 2gh3
b. mv 3
2g
c. mv 3
4 2g
d. zero

55. 53 Problem
Voltmeters V1 and V2 are connected in series across a DC line. V1 reads 80 V
and has a resistance of 200 /V and V2 has a total resistance of 32 k . The line
voltage is :
a. 240 V
b. 220 V
c. 160 V
d. 120 V

56. 54 Problem
A constant volume gas thermometer shows pressure reading of 50 cm and 90
cm of the pressure reading of 50 cm and 90 cm of mercury at 00C and 1000C
respectively. When the pressure reading is 60 cm of mercury, the temperature
is :
a. 12.50C
b. 150C
c. 250C
d. 400C

57. 55 Problem
The counting are observed from a radioactive source at t = 0 s was 1600
count/s and at t = 8 s, it was 100 count/s. The counting radio observed as
counts per second at t = 6 s will be :
a. 150
b. 200
c. 300
d. 400

58. 56 Problem
An atomic power nuclear reactor can deliver 300 MW. The energy released due
to fission of each of uranium atom U238 is 170 MeV. The number of uranium
atoms fashioned per hour, will be :
a. 30 x 1025
b. 4 x 1022
c. 10 x 1020
d. 5 x 1015

59. 57 Problem
A wire of density 9 x 10 kg/m3 is stretched between two clamps 1 m apart and
is subjected to an extension of 4.9 x 10-4 m. The lowest frequency of transverse
vibration in the wire is : (Y = 9 x 1010 N/m2)
a. 40 Hz
b. 35 Hz
c. 30 Hz
d. 25 Hz

60. 58 Problem
A body executing simple harmonic motion has a maximum acceleration equal
to 24 m/s2 and maximum velocity 16 m/s, the amplitude of the simple
harmonic motion is :
a. 1024 M
9
b. 32 M
3
c. 64 M
9
3
d. M
32

61. 59 Problem
An engineer of a train which is moving at a speed v1, sees a fright train at
distance d ahead of him on the same track moving in the same direction with a
slower speed v2. He puts on the brakes and gives his train a constant
deceleration, then there will be no collision, if :
v1  v2
a. d
2a
b. d   1 2 
2
v v
2a
c. v2  v1
d
2a
v1  v2 
2
d. d 
2a

62. 60 Problem
CP
Considering the gases to be ideal, the value of   for a gaseous mixture
CV
consisting of n1 = 3.0 moles of oxygen will be  2  0.4,  1  1.3 :
a. 1.37
b. 1.34
c. 1.55
d. 1.63

63. 61 Problem
 

A force F  5ˆ  3ˆ
i j N is applied over a particle which displaces, it from its
origin to the point

 
r  2ˆ  ˆ
i j m. Then the work done on the particle is :
a. 13 J
b. 10 J
c. 7 J
d. - 7 J

64. 62 Problem
Two satellites S1 and S2 are orbiting around a planet of radius R, S1 move just
above the surface of planet while S2 is in orbit of radius 4R. The value of the
ratio of orbital speed (v0)1 and orbital speed (v0)2 is :
a. 4 : 1
b. 2 : 1
c. 1/2 : 1
d. 1/4: 1

65. 63 Problem
Which is true for a cyclotron ?
a. The final energy achieved is proportional to (radius)4 of the Dees
b. The orbiting frequency is one time the AC voltage frequency
c. The final energy achieved is proportional to (radius)2 of the Dees
d. The orbiting frequency is proportional to (kinetic energy )1/2

66. 64 Problem
The half-life of 19K42 is 12.5 h. If the original sample contains 256 g, the amount
of 19K42 after 100 h, will be :
a. 5.12 g
b. 2.56 g
c. 2.00 g
d. 1.00 g

67. 65 Problem
The radius of first orbit of hydrogen atom is 0.053 nm. The radius of third orbit
is :
a. 0.477 nm
b. 0.212 nm
c. 0.159 nm
d. 0.106 nm

68. 66 Problem
A vessel contains 110 g of water. The heat capacity of the vessel is equal to 10
g water. The initial temperature of water in vessel is 100C. if 220 g of hot water
at 700C is poured in the vessel, the final temperature neglecting radiation loss,
will be :
a. 700C
b. 800C
c. 600C
d. 500C

69. 67 Problem
A gas with specific heat ratio  is compressed suddenly to of its initial
5/3
volume. If the initial pressure is P, then the final pressure is :
a. 8 P
b. 16 P
c. 24 P
d. 32 P

70. 68 Problem
An electric tea kettle has two heating coils. When first coil of resistance R1 is
switched on, the kettle begins to boil tea in 6 min. When second coil of
resistance R2 is switched on, the boiling begins in 8 min. The value of R1/R2 is :
a. 7/3
b. 3/7
c. 3/4
d. 4/3

71. 69 Problem
When a beam of light (γ= 6000Å) traveling in air enters a glass medium (µ=
1.5), the wavelength of light in glass, would be :
a. 2000 Å
b. 3000 Å
c. 4000 Å
d. 5000Å

72. 70 Problem
An object is placed at a distance of 20 cm from a convex lens of focal length 10
cm. The image is formed on the other side of the lens at a distance of :
a. 10 cm
b. 40 cm
c. 25 cm
d. 20 cm

73. 71 Problem
The condition for an achromatic doublet, is : (here, f1 and f2 are the focal
lengths of individual lenses)
a. f1  f2  12
2
b. 1f1  2f2  0
c. 1 2
 0
f1 f2
f1 1
d.  0
f2 2

74. 72 Problem
In a straight line motion, the distance covered is proportional to the square
root of the time taken. Then, the acceleration of the particle is proportional to
:
a. v
b. v2
c. V3
d. v

75. 73 Problem
A sounding body gives 5 beats with source of frequency 100 Hz as well as 110
Hz, then the frequency is :
a. 100 Hz
b. 105 Hz
c. 110 Hz
d. 115 Hz

76. 74 Problem
The horizontal component of the earth’s magnetic field is 3.6 x 10-5 T. Where
the dip angle is 600, the magnitude of the earth’s magnetic field is :
a. 2.8 x 10-4 T
b. 2.1 x 10-4 T
c. 7.2 x 10-5 T
d. 3.6 x 10-5 T

77. 75 Problem
A wavelength 0.60 cm is produced in air and it travels at a speed of 300 m/s. It
will be an/a :
a. Ultrasonic wave
b. Audible wave
c. Infrasonic
d. None of these

78. 76 Problem
A magnet of magnetic moment M is freely suspended in a uniform horizontal
magnetic field intensity H. If the magnet is deflected at an angle θ from the
direction of H. The work done is :
a. MH sin θ
b. nH
c. MH cos θ
d. MH (1 – cos θ)

79. 77 Problem
A 3 m conductor is moving at right angles in a magnetic field intensity of 10-5 T,
at the velocity 10-2 m/s. The potential difference across conductor is :
a. 3 x 10-3 V
b. 0.03 V
c. 0.3 V
d. 3 V

80. 78 Problem
The period of oscillation of freely suspended bar magnet in earth’s horizontal
field H is 4 s. When another magnet is brought near it, the period of oscillation
is reduced to 2 s. The magnetic field of second bar magnet is :
a. 4 H
b. 3 H
c. 2 H
d. 3 H

81. 79 Problem
Three point charges Q1, Q2, Q3 in the order are placed equally spaced along a
straight line. Q2 and Q3 are equal in magnitude but opposite in sign. If the net
force on Q3 is zero, the value of Q1 is :
a. Q1 = 4 (Q3)
b. Q = 2 (Q3)
c. Q1 = 2 (Q3)
d. Q1 = |Q3|

82. 80 Problem
The electric field intensity just sufficient to balance the earth’s gravitational
attraction on an electron will be : (given mass and charge of an electron
respectively are 9.1 x 10-31 kg and 1.6 x 10-19C)
a. -5.6 x 10-11 N/C
b. -4.8 x 10-15 N/C
c. -1.6 x 10-19 N/C
d. -3.2 x 10-19 N/C

83. 81 Problem
Two resistors R and 2 R are connected in series in an electric circuit, the
thermal energy produced in R and 2R are in the ratio :
a. 4 : 1
b. 1 : 4
c. 2 : 1
d. 1 : 2

84. 82 Problem
The shortest wavelength of X – rays emitted from an X-ray tube operated at 2 x
106 V, is the order of :
a. 10-5 Å
b. 10-2 Å
c. 0.15 Å
d. 1Å

85. 83 Problem
The ionic emission of electron is due to :
a. Photoelectric effect
b. High temperature
c. Electromagnetic induction
d. Electrostatic field

86. 84 Problem
A voltmeter of internal resistance 25 x 106Ω, connected across resistance R,
read 100 V. An ammeter connected in series with this arrangement reads 5 A
the value of R, is :
a. 40 Ω
b. 30 Ω
c. 20 Ω
d. 10 Ω

87. 85 Problem
First ionization energy of the cesium is 6.24 x 10-19 J/atom. The minimum
frequency of light that is required to ionize cesium atom is : (h = 63 x 10-34 J-s)
a. 9.0 x 1014 Hz
b. 4.13 x 1014 Hz
c. 9.42 x 1011 Hz
d. 1.02 x 1012 Hz

88. 86 Problem
The photon of energy 12.4 eV is completely absorbed by a hydrogen atom,
initially in the ground state, so that it is excited. The quantum number of the
excited state is :
a. n = ∞
b. n = 3
c. n = 4
d. n = 1

89. 87 Problem
The dimensions of torque are :
a. [MLT-2]
b. [ML2T2]
c. [ML2T-2]
d. [M2L2T-2]

90. 88 Problem
Sodium light ( 6 x 10-7 m) is used to produce interference pattern. The
=
observed fringe width is 0.12 mm. The angle between two interfering wave
trains is :
a. 1 x 10-3 rad
b. 1 x 10-2 rad
c. 5 x 10-3 rad
d. 5 x 10-2 rad

91. 89 Problem
Light propagates with speed of 2.2 x 108 m/s and 2.4 x 108 m/s in the media P
and Q respectively. The critical angle of incidence for light undergoing
reflection from P and Q is
a.  1 
sin1  
 11 
b.  11 
sin1  
 12 
 5 
c. sin1  
 11 
5
d. sin1  
 11 

92. 90 Problem
Two capacitors C1 = 2 µF and C2 = 6 µFare connected in series, then connected
in parallel to a third capacitor C3 = 4µFThis arrangement is then connected to a
battery of emf 2v as shown in figure. How much energy is lost by the battery in
charging the capacitor ?
a. 16/3 x 10-6 J
b. 32/3x 10-6 J
c. 11 x 10-6 J
d. 22 x 10-6 J

93. 91 Problem
A proton and an -particle are separately projected in a region where a uniform
magnetic field exists. Their initial velocities are perpendicular to the direction
of magnetic field. If both the particles move around magnetic field in circles of
equal radii, the ratio of momentum of -particle is :
a. 4/1
b. 2
c. 1/2
d. 1

94. 92 Problem
A resistance of 20 is connected to a source of an alternating potential V = 200
cos (100 πt). The time taken by the current to change from its peak value to
rms value is :
a. 2.5 x 10-3 s
b. 25 x 10-3 s
c. 0.25 s
d. 0.020 s

95. 93 Problem
The current flowing in a step-down transformer 220 V to 22 V, having
impedance 220 is :
a. 0.1 mA
b. 1 mA
c. 0.1 A
d. 1 A

96. 94 Problem
The expansion of galaxies is supported by :
a. Black hole
b. Red shift
c. White dwarf
d. Neutron star

97. 95 Problem
In the given circuit with steady current, the potential drop across the capacitor
must be :
a. 2V/3
b. V/3
c. 2/2
d. V

98. 96 Problem
A charge is placed at the centreof a cube, the flux emitted through its one face
is :
q
a.
12 0
q
b.
6 0
c. q
2 0
q
d.
0

99. 97 Problem
In the case of forward biasing, there is an increase in :
Voltage
Current
Time
Resistance

100. 98 Problem
The spectral series of hydrogen which lies entirely in the ultraviolet part is :
a. Pfund
b. Balmer
c. Lyman
d. Paschan

101. 99 Problem
The kinetic energy of the photoelectrons emitted when light of wavelength
4000 Å is incident on a metal of work function 2 eV, is approximately :
a. 0.5 eV
b. 1.1 eV
c. 2.5 eV
d. 3 eV

102. 100 Problem
On a rainy day, if there is an oil drop on tar road, coloured rings are seen
around this drop. This is due to :
a. Total internal reflection of light
b. Polarization
c. Diffraction pattern
d. Interference pattern produced due to the oil film

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