UPSEE - Physics -1999 Unsolved Paper

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PHYSICS - UNSOLVED PAPER - 1999

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.

01 Problem

A body is moved along a straight line by a machine giving constant power.
The distance moved by the body in time t is proportional to:

a. t2
b. t2/3
c. t3/4
d. t1/2

02 Problem

The velocity of body falling freely under acceleration due to gravity varies a gp
hq where h is height fallen by the body. The value of p and q will be:

a. 1/2, 1
b. 1, 1
c. 1/2,1/2
d. 1, 1/2

03 Problem

An air bubble of radius 10 cm rises with terminal velocity 0.21 cm/s in liquid
column. If the density of liquid is 1.47x103kg/m3, then the value of coefficient
of viscosity of liquid ignoring the density of air, will be:

a. 1.71 x 104poise
b. 1.82 x104poise
c. 1.78 x104poise
d. 1.52 x104poese

04 Problem
  
If the magnitude of vectors
A, B and C are 12, 5, 13 units respectively and then
    
A B C angle between A and B will be

a. π/2
b. π/4
c. π
d. 00

05 Problem

The relative velocity of two parallel layers of water is 8 cm/s. If the
perpendicular distance between the layers is 0.1 cm, then velocity gradient will
be:

a. 80/s
b. 60/s
c. 50/s
d. 40/s

06 Problem

A truck is moving in north direction with the velocity of 20 m/s and turns to the
west and moves with same speed. The change in its velocity will be:

a. 20 2 m/s south west
b. 40 m/s south west
c. 20 2 m/s north west
d. 40 m/s north west

CV =

07 Problem

The total weight of a piece of wood is 6 kg. In the floating state in water its 1/3
part remains inside the water. On this floating piece of wood what maximum
weight is to be put such the whole of the piece of wood is to be drowned in the
water?

a. 15kg
b. 14kg
c. 10kg
d. 12kg

08 Problem
t t
A body of mass 2 kg moving under a force has relation between displacement x
3
is in and time t as x = t where x is in metre and t is in sec. The work done by
3
the body in first two second will be:

a. 1.6 J
b. 16 J
c. 160 J
d. 1600 J

09 Problem

A piece of steel floats in mercury, the specific gravity of mercury and steel are
13.6 and 7.8 respectively. For covering the whole piece some water is filled above
the mercury. What part of the piece is inside the mercury?

a. 0.62
b. 0.47
c. 0.36
d. 0.54

10 Problem

The moment of inertia of a ring is 0.40 Kgm2. It is making 2100 rev/min. What
torque is required to stop it in 2 s?

a. 55 Nm
b. 44 Nm
c. 33 Nm
d. 22 Nm

11 Problem

A water film is formed between two straight parallel wires of 10cm length 0.5 am
apart. If the distance between wires is increased wires is increased by 1
mm, what will be the work done ? (Surface tension of water=72 dyne/cm)

a. 36 erg
b. 288 erg
c. 144 erg
d. 72 erg

12 Problem

On light wooden metre scale 3 kg and 5 kg weights are placed in 20 cm and 70
cm sign respectively. What will be the moment of inertia of this system about the
axis passing from the 0 cm sign and perpendicular to axis?

a. 4.37 kg m2
b. 1.37 kg m2
c. 2.31 kg m2
d. 2.57 kg m2

13 Problem

1m3 water of brought inside the lake upto 200m depth from the surface of the
lake. What will be change in the volume when the bulk modulus if elasticity of
water is 22000o atmosphere?
(Density of water=1x103kg/m3, atmospheric pressure=105N/m3 and g=10m/m2)

a. 8.9x10-3m3
b. 7.8x10-3m3
c. 9.1x10-4m3
d. 8.7x10-4m3

14 Problem

A satellite where mass is M revolving in a circular orbit of radius r around the
earth. Time period of revolution of satellite is :

a. r3
T
GM1 / 4

r3
b. T
GM2 / 3

r3
c. T
GM

d. r5
T
GM

15 Problem

What per cent of length of wire increases by applying a stress of 1 kg
weigth/mm2 on it?
(Y=1x1011N/m2 and 1 kg weight=9.8 newton)

a. 0.0067%
b. 0.0098%
c. 0.0088%
d. 0.0078%

16 Problem

For any rocket on earth the escape velocity is 11.2 km/2. The value of the
escape velocity at the planet where acceleration due to gravity is two times
that of the earth, will be :

a. 33.6 km/s
b. 22.4 km/s
c. 11.2 km/s
d. 5.6 km/s

17 Problem

what should be the velocity of rotation of earth due to rotation about its own
axis so that the weight of a person becomes 3/5 of the present weight at the
equator. Radius of earth’s equator is 6400km:

a. 8.7 x 10 7 rad / s

b. 7.8 x 10 4 rad / s

c. 6.7 x 10 4 rad / s
d. 7.4 x 10 3 rad / s

18 Problem

The spectral series of the hydrogen spectrum that lies in the ultra violet region
is :

a. Lyman series
b. Paschan series
c. Pfund series
d. Balmer series

19 Problem

Which of the following is not transducer?

a. Loud speaker
b. Amplifier
c. Microphone
d. All of these

20 Problem

A gas is collected over the water at 250 C. the total pressure of moist gas was
735 mm or mercury. If the aqueous vapor pressure at 250c is 23.8 mm. Then
, the pressure of dry gas is :

a. 760 mm
b. 758.8 mm
c. 710.8 mm
d. 711.2 mm

21 Problem

At which temperature the speed of sound in hydrogen will be same as that of
speed of sound in oxygen at 1000 C ?

a. -249.70 C
b. -317. 50 C
c. -212. 50 C
d. -1480 C

22 Problem

The ratio of amount of heat necessary to heat a known mass of water from 00C
to 500C and convert the same mass of ice into steam, will be :

a. 5
72

b. 16
31

1
c.
8

d. 5
8

23 Problem

which one of the following is not made of soft iron ?

a. Magnet of loud speaker
b. Core of dynamo
c. Core of transformer
d. Electromagnet

24 Problem

Helium gas is filled in a closed vessel (having negligible thermal expansion
coefficient). When it is heated from 300 K to 600 K, then average kinetic energy
of helium atom will be :

a. 2 times
b. 2 times
c. un changed
d. half

25 Problem

what temperature is the same on Celsius scale as well as on Fahrenheit scale ?

a. -2120 C
b. -400 C
c. -320 C
d. 320 C

26 Problem

How much work is be done in decreasing the volume of an ideal gas by an
amount of 2.4 x 10-4 m3 at normal temperature and constant normal pressure
of 1 x 105 N/m2?

a. 28 J
b. 27 J
c. 25 J
d. 24 J

27 Problem

100g of ice at 00C is mixed with 100g of water at 200C the temperature of
mixture will be

a. 00 C
b. -100 C
c. -200 C
d. -300 C

28 Problem

The temperature of a piece of metal is increased from 270 C and 840 C. the rate
of radiated energy emitted from the metal will increases approximately:

a. 16 times
b. 8 times
c. 4 times
d. 2 times

29 Problem

125 ml of gas A at 0.06 atmosphere and d150 ml of gas B at 0.80 atmosphere
pressure at same temperature are filled in a vessel of 1 L volume. What will be
the total pressure of mixture at the same temperature ?

a. 0. 140 atmosphere
b. 0. 120 atmosphere
c. 0. 195 atmosphere
d. 0. 212 atmosphere

30 Problem

Adiabatic modulus of elasticity of a gas is 2.1 x 105 N/m2. what will be its
Cp
isothermal modul8us of elasticity 1.4 ?
Cv

a. 1.8 x 105 N/m2
b. 1.5 x 105 N/m2
c. 1.4 x 105 N/m2
d. 1.2 x 105 N/m2

31 Problem

The volume of an ideal gas is k1 L and its pressure is equal is equal to 72 cm of
mercury column. The volume of gas is made 900 cm3 by compressing it
isothermally. The stress of the gas will be:

a. 2.33 x 10-5/0C
b. 6.0 x 10-5/0C
c. 4.0 x 10-5/0C
d. 2.0 x 10-5/0C

32 Problem

The length of a metallic rod is 5 m at 00C and becomes 5.01 m, on heating up
to 1000C . The linear expansion of the metal will be :

a. 2.33 x 10-5 / 0 C
b. 6.0 x 10-5 / 0 C
c. 4.0 x 10-5 / 0 C
d. 2.0 x 10-5 / 0 C

33 Problem

A stretched wire 60 cm long is vibrating with its fundamental frequency of 256
Hz. If the length of the wire is decreased to 15 cm and the fundamental
frequency of the vibration of the wire will be:

a. 1024 Hz
b. 572 Hz
c. 256 Hz
d. 64 Hz

34 Problem

a cubical body (side 0.1 m and mass 0.002 kg ) is floating in water. It is pressed
and released vibration will be :

a. 0.028 s
b. 0.897 s
c. 0.026 s
d. 0.025 s

35 Problem

The wavelength of two waves are 50cm and 51cm respectively. If the
temperature of the room is 200C then what will the number of beats products
per second by these waves, when the speed of sound at 00C is 332 m/s ?

a. 24
b. 14
c. 10
d. none of these

36 Problem

A sonometer wire stretched with 64 N is vibrating in its fundamental mode and
in resonance with a vibrating tuning fork. Length of the vibrated part of
sonometer wire is 10 cm and the mass is 10-1 kg. Vibrating tuning fork is
brought far away from vibrating wire with a constant speed and an observer
standing near the sonometer hears one beat per second. If the speed of sound
in air is 300m/s then the speed of tuning fork will be :

a. 0.75 m/s
b. 0.67 m/s
c. 0.60 m/s
d. 0.25 m/s

37 Problem

A simple pendulum is hanging from a peg inserted in a vertical wall. Its bob is
stretched in horizontal position from the wall and is left free to move. the bob
2
hits on the wall, the coefficient of restitution is . After how many collisions
5
the amplitude of vibration will become less than 600?

a. 6
b. 3
c. 5
d. 4

38 Problem

A tuning fork of frequency 340 Hz is vibrating just above the tube of 120 cm
height, water is poured slowly in the tube then what is the minimum height of
water necessary for the resonance? (Speed of sound in air is 340 m/s)

a. 45 cm
b. 30 cm
c. 25 cm
d. 75 cm

39 Problem

26 tuning forks are placed in a series such that each tuning fork produces 4
beats with its previous tuning fork. If the frequency of last tuning fork be three
times the frequency of first tuning fork then the frequency of first tuning fork
will be :

a. 76 Hz
b. 75 Hz
c. 50 Hz
d. 25 Hz

40 Problem

The equation of wave moving in a string may be written as
Y=3cos (100-t)
Its wavelength will be :

a. 5 cm
b. 2 cm
c. 3 cm
d. 100 cm

41 Problem

The speed of a wave is 360m/s and frequency is 500 Hz. Phase difference
between two consecutive particles is 600, then path different between them
will be:

a. 0.72 cm
b. 120 cm
c. 12 cm
d. 72 cm

42 Problem

In an alternating current circuit in which an inductance , a resistance and
capacitance are joined in series, current is found to be maximum when the
value of inductance is o.5 H and the value of capacitance is the resonance
frequency of applied alternating voltage will be:

a. 5000 rad /s
b. 4000 rad /s
c. 2 x 105 rad /s
d. 500 rad /s

43 Problem

Five resistance are combined according to figure, the equivalent resistance
between A and B will be;

a. 50 Ω
b. 20 Ω
c. 22 Ω
d. 10 Ω

44 Problem

The current I passed in any instrument in alternating current circuit is I = 2 SIN
wt amp and potential difference applied is V = 5 coswt volt then power loss in
instrument is :

a. 2.5 W
b. 5 W
c. 10 W
d. zero

45 Problem

The powers of two electric bulbs are 100W and 200W. Both of them are joined
with 220V. The ratio of resistance of their filaments will be:

a. 4 : 1
b. 1 :4
c. 1 : 2
d. 2 : 1

46 Problem

In an induction coil the current increases from 0 to 6 A in 3 s by which induced
emf of 30 V is produced in it then the value of coefficient of self-inductance of
coil will be;

a. 3H
b. 2H
c. 1H
d. 1.5H

47 Problem

In a building there are 15 bulls of 40 W, 5 bulls of 100 W, 5 bulls of 80 W and a
heater of 1 KW. The voltage of electric mains is 220 V. The minimum efficiency
of the main fuse of the building will be:

a. 10.6A
b. 9.8A
c. 0.4A
d. 11.4

48 Problem

In a magnetic field with the value of induction as 0.9Wb/m2 a simple wire
conductor 0.4m long is moving with the velocity of 7 m/s. The value of
maximum induced electromotive force will be:

a. 3V
b. 2.52V
c. 2V
d. 1V

49 Problem

A centigrade and Fahrenheit thermometers are dipped in boiling water. The
water temperature is lowered until the Fahrenheit thermometer register a
temperature of 140 0 The fall of temperature as registered by the Centigrade
thermometer is :

a. 800 C
b. 400 C
c. 500 C
d. 900 C

50 Problem

A compass needle whose magnetic moment is 60 Am2 , is directed towards
geographical north at any place experiencing moment of force of 1.2 x 10-3 Nm.
At that place the horizontal component of earth’s field is 40 micro Mb/m2 what
is the value of declination at that place?

a. 300
b. 600
c. 450
d. 150

51 Problem

The resistance of 200 W and 100W bulbs of same voltage are R1 and R2
respectively then:

a. R2=4R1
b. R1=4R2
c. R2=2R1
d. R2=2R1

10-7

52 Problem

A particle carrying charge 100 times the charge of an electron is revolving at 1
rev/s in a circular path of radius 0.8 m. The magnetic developed at the center
is :

a. 10-6 0

b. 10-17 0

c. 0

7
d. 10
0

53 Problem

The specific resistance of manganin is 50 x 10-6 m. The resistance of a cube of
manganin having length 50 cm will be:.

a. 5 x 10-4 Ω
b. 10-5 Ω
c. 2.5 x 10-5 Ω
d. 10-4 Ω

55 Problem

Eight droplets of mercury having same charge and same radius get mixed to
from a big drop. The capacity of big drop in comparison to small droplet is:

a. Sixteen times
b. Eight times
c. Four times
d. Two times

56 Problem

The resistance of a wire at 200C is 20 Ω and at 5000C is 60 Ω. At which
temperature its resistance will be 25Ω?

a. 80 0C
b. 700 C
c. 600
d. 500

57 Problem

The 1000 small droplets of water each of radius r and charge q, make a big
drop of spherical shape. The potential of big drop is how many times the
potential of one small droplet?

a. 1
b. 10
c. 100
d. 1000

58 Problem

A charge e is distributed over two concentric hollow sphere of radii Rand r
(R>r) such that their surface charge densities are equal. The potential at their
common centre will be:

a. Q R r
2 0 r 2 R2

Q R r
b.
4 0 r 2 R2

Q R r
c.
2 0 R2 r2

d. Q R r
4 0 R2 r2

59 Problem

How much heat is developed in 210 W electric bulb in 5 min?
(Chemical equivalent of heat =4.2J/C)

a. 30000 cal
b. 22500cal
c. 15000cal
d. 7500cal

60 Problem

At what temperature will be resistance of a copper wire becomes three times
its value at 0oC?

a. 5000 C
b. 3000C
c. 4500C
d. 4000C

61 Problem

in Young’s double slit experiment, if we make the distance half between the
slits and make the distance double between the screen and slit, then the fringe
width:

a. Will be four times
b. Will be doubled
c. Will be the same
d. Will be half

62 Problem

A lamp is hanging at the height of 4 m over a table. Its height is decreased by 1
m. By how much percentage the illumination will increase at the table?

a. 78%
b. 75%
c. 67%
d. 72%

63 Problem

In double slit experiment the angular width of interference fringes is 0.200 for
sodium light ( =5890 Å). For what value of wavelength, the width of slit be
more than 0.220?

a. 5875 Å
b. 7845 Å
c. 6581 Å
d. 6479 Å

64 Problem

Total solid angel at any point is 4π. The luminous intensity of a source is 40 Cd
in angel, 30 π Cd in 2 π angel and zero in rest of angle. Luminous flux in total
solid angle will be :

a. 314 lumen
b. 325 lumen
c. 319 lumen
d. 215 lumen

65 Problem

A light ray falls at angle of incidence i from denser medium to rarer
medium, reflected and refracted rays make an angle 900 mutually with each
other. The angle of reflection and refraction are r and r’ respectively. Then the
critical angle is ;

a. tan–1 (sin i)
b. sin–1 (tan i)
c. sin–1 (tan r’)
d. sin–1 (tan r)

66 Problem

On focusing sun rays by a lens of 5 cm diameter on a piece of ice L = 80
kcal/kg, 10 g of ice melts in 10 min. The amount of heat obtained from the sun
per minute on unit are will be :

a. 5 cal
b. 4 cal
c. 2 cal
d. 3 cal

67 Problem

The angle of polarization for any medium is 600. The critical angle for this is :

a. cos 1 3

b. sin 1 3

c. tan 1 3

d. sin 1 1
3

68 Problem

A lens is formed by pressing mutually plane surfaces of two similar plano
convex lenses of focal length 40 cm. For forming an image of same size, real
and inverted one, the object is to be kept for the lens at distance equal to :

a. 160 cm
b. 20 cm
c. 80 cm
d. 40 cm

69 Problem

A man wants to see two poles, separately situated at 11 km. The minimum
distance (approximately) between these poles will be :

a. 5 m
b. 0.5 m
c. 1 m
d. 3 m

70 Problem

If a thin prism of glass is dipped in water then minimum deviation (with
3 4
respect to air) of light produced by prism will n
w g , a nw :
2 3

a. 1/5
b. 1/3
c. 1/2
d. 1/4

71 Problem

Magnifying power of objective of a compound microscope is 8. If the
magnifying power of microscope is 32 then magnifying power of eye piece is :

a. 7
b. 5
c. 4
d. 3

72 Problem

The refractive index for the light of violet and red colour or any material are
1.66 and 1.64 respectively. If the angle of prism made of this material is
100, then angular dispersion is :

a. 10
b. 0.400
c. 0.100
d. 0.200

73 Problem
3 4
Absolute refractive indices of glass and water are and . The ratio of velocity
2 3
of light in glass and water is :

a. 8 : 9
b. 3 : 4
c. 8 : 7
d. 4 : 3

74 Problem

The ratio of thickness of plates of two transparent medium A and B is 6 : 4. If
light takes equal time in passing through them, then refractive index of B with
respect to A will be :

a. 1.33
b. 1.75
c. 1.4
d. 1.5

75 Problem

The distance traveled by light in glass (refractive index 1.5) in a nano second
will be

a. 20 cm
b. 30 cm
c. 45 cm
d. 40 cm

76 Problem

When a beam of accelerated electrons collides with a target then continuous
spectrum of X-rays is emitted. Which wave length will be absent in spectrum of
X-ray emitted from X-ray tube operated at 40 kV ?

a. 1 Å
b. 0.25 Å
c. 0.5 Å
d. 1.5 Å

77 Problem

In a Rutherford experiment the number of particles scattered at 900 angle are
28 per minute then number of scattered particles at an angle 600 and 1200 will
be :

a. 177 per minute, 25 per minute
b. 50 per minute, 5 per minute
c. 100 per minute, 200 per minute
d. 112 per minute, 12.4 per minute

78 Problem

How many kV potential is to be applied on X-ray tube so that minimum
Wavelength of emitted X-rays may be 1 Å ?

a. 10.78 kV
b. 11.98 kV
c. 12.84 kV
d. 12.4 kV

79 Problem

Eye detects by the green light ( = 5000 Å) 5 x 104 photones/m2/s and the ear
detects 10-13 W/m2. In form of power detector the eat is sensitive in
comparison to eye by :

a. 5 times
b. 4 times
c. 3 times
d. 2 times

80 Problem

Energy of an electron in an excited hydrogen atom is - 3.4 eV. Its angular
momentum will be :

a. 3.72 x 10-34 Js
b. 2.10 x 10-34 Js
c. 1.51 x 10-34 Js
d. 4.20 x 10-34 Js

81 Problem

The work function of any metal is 4 eV. For emitting photoelectrons of zero
velocity from the surface of this metal, the wavelength of incident light
required must be :

a. 3100 Å
b. 5900 Å
c. 1700 Å
d. 2700 Å

82 Problem

In an electron gun, the potential difference between the filament and plate is
3000 V. What will be the velocity of electron emitting from the gun ?

a. 3 x 108 m/s
b. 3. 18 x 1010 m/s
c. 3.52 x 107 m/s
d. 3.25 x 107 m/s

83 Problem

The work function of photoelectric substances 3.3 eV. The value of threshold
frequency will be :

a. 4 x 1011 Hz
b. 8 x 1010 Hz
c. 5 x 1033 Hz
d. 8 x 1014 Hz

84 Problem

The kinetic energy of electron (in electron will moving with a velocity of 4 x
106 m/s) will be :

a. neutron holocaust
b. thermo nuclear reaction
c. neutron reproduction factor
d. none of the above

85 Problem

The large scale destruction, that would be caused due to use of nuclear
weapons is known s :

a. Neutron holocaust
b. Thermo nuclear reaction
c. Neutron reproduction factor
d. None of the above

86 Problem

If elements with principal quantum n > 4 were not found in nature, possible
number of elements would have been :

a. 4
b. 16
c. 32
d. 60

87 Problem

Rn decays into Po by emitting an -particle with half-life of 4 days. A sample
contains 6.4 x 1010 atoms of Rn left in the sample will be :

a. 0.8 x 1010
b. 2.1 x 1010
c. 3.2 x 1010
d. 0.53 x 1010

88 Problem

The slope of frequency of incident light and stopping potential for a given
surface will be :

a. e
b. eh
c. h
d. h/e

89 Problem

Two radioactive materials X1 and X2 have decay constants 10 and 
respectively. If initially they have the same number of nuclei then the ratio of
number of nuclei of X1 to that of X2 will be 1/e after time :

a. 1
9

b. 11
10

c. 1
10

d. 11
11

90 Problem

The ratio of maximum to minimum wave length in Balmer series is :

a. 3 : 4
b. 1 : 4
c. 5 : 36
d. 9 : 5

91 Problem

In a full wave rectifier circuit operating from 50 Hz mains frequency. The
fundamental frequency in the ripple would be :

a. 100 Hz
b. 250 Hz
c. 25 Hz
d. 50 Hz

92 Problem

In the given figure, the charge on 3 µF capacitor

a. 10 µC
b. 15 µC
c. 30 µC
d. 5 µC

93 Problem

Number of electrons in 1 mC charge will :

a. 1. 8 x 10-16
b. 1.6 x 1016
c. 6.25 x 1015
d. 6. 25 x 1017

94 Problem

the impedance in a circuit containing a resistance of 1 and an inductance of 1
H in series, for AC of 50 Hz, is :

a. 100 Ω
b. 10 10 Ω
c. 100 10 Ω
d. 10 Ω

95 Problem

A stretched string is vibrating according to the equation

Where y and x are in cm t in second, then the distance between two
consecutive nodes on the string is:

a. 2 cm
b. 3 cm
c. 4 cm
d. 5 cm

96 Problem

When a temperature of a gas, filled in a closed vessel is increased by 1k. Its
pressure increases by 0.4% the initial temperature of gas was:

a. 25 K
b. 250 K
c. 250C
d. 2500C

97 Problem

The temperature of two bodies A and B are respectively 7270 and 3270 the
ratio of the rates of heat radiated (HA : HB) By them, is:

a. 625:81
b. 25:9
c. 5:3
d. 727:372

98 Problem

The work done in increasing the size of a soap film from 10cm x 6cm to c10cm
x 11 cm is 3 x 10-4J. the surface tension o f the film is:

a. 11 x 10-2 N/m
b. 6 x 10-2 N/m
c. 3 x 10-2 N/m
d. 1.5 x 10-2 N/m

99 Problem

a body of mass 5 kg is moving with a momentum of 10kgm/s. a force 0.2N acts
on it in the direction of motion of the body for 10s. the increase in its kinetic
energy is :

a. 4.4 J
b. 3.8 J
c. 3.2 J
d. 2.8 J

100 Problem

A body of mass m is moved to a height h equal to the radius of the earth. The
increase in potential energy is:

a. 1
mgR
2
b. 1
mgR
4
c. mgR
d. 2mgR

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