1. A second’s pendulum is placed in a
space laboratory orbiting around the
earth at a height 3R from the earth’s
surface, where ‘R’ is the earth’s radius.
The period of the pendulum will be,
1) Indefinite
2) 4s
3) 3√2 s
4) Zero
2.
1)
2)
3)
4)
In the absence of external forces, the
shape of a liquid drop is determined
by,
Viscosity of Liquid
Density of Liquid
Temperature of Air
Surface Tension
3.
The time period of the satellite of
planet is 6hrs. If the separation
between the satellite and the planet is
increased to 4times of the initial value,
the time period of new orbit will be:
1)
2)
3)
4)
40h
48h
37h
10h
4.
1)
2)
3)
4)
Two satellites X and Y go around a
planet in circular orbits having radii 6R
and R respectively. If the speed of
satellite X is 4V, then the speed of
satellite Y would be:
(4/5)V
2√3 V
4√6 V
3√2 V
5.
1)
2)
3)
4)
A planet is revolving around the sun
in an elliptical orbit. If ‘a’ denotes the
distance of the planet from the sun,
then how will the speed ‘v’ of planet
vary with the distance ‘a’ for different
positions of the same orbit:
V α a-1
V α a-3/2
V α a-1/2
V α a-2
6.
The escape velocity of a body of mass
‘m’ depends on:
1)
2)
3)
4)
Temperature of the planet
Mass of the body
Mass of the planet
Shape of the body
7.
1)
2)
3)
4)
The gravitational force between two
masses m1 and m2 separated by a
distance ‘R’ is F. If the separation
between the two masses is halved and
a medium of dielectric constant ‘4’ is
introduced between them, then the
gravitational fore will be:
16 times
4 times
One–fourth
8 times
8.
The surface tension is lightest for :
1)
2)
3)
4)
Alcohol
Water
Kerosene
Mercury
9.
In a water container, a hole is made at
a depth of 10m from the free surface.
Then the velocity of the efflux (flow of
water) is:
1)
2)
3)
4)
9.8 m/s
14 m/s
14 cm/s
9.8 cm/s
10. Two drops of water each of radius ‘a’
coalesce to form a large drop of radius
R. Then the radius of the large drop is:
1)
2)
3)
4)
2 -1/2 r
2 1/3 r
2r
2 r1/2
11. A rubber ball is taken down to 100 m
deep into river and its volume
changes by 0.1 %. If g= 10 m/s2 then,
the bulk modulus of elasticity of
rubber is (N/m2) :
1)
2)
3)
4)
105
104
107
109
12. The unit of Pressure in SI system is :
1)
2)
3)
4)
pascal
mm of Hg
atmosphere
dyne cm-2
13. If the earth were four times farther
from the sun than it is now, the
gravitational force exerted by the sun
would be :
1)
2)
3)
4)
1/16 th as it is now
16 times as it is now
Four times as it is now
1/4 th as it is now.
14. A body weighs 900 gm wt on the
surface of the earth. How much will it
weigh on the surface of a planet,
whose mass is one-ninth and radius
one-half that of the earth :
1) 500 gm wt
2) 400 gm wt
3) 800 gm wt
4) 700 gm wt
15. The satellites A and B are orbiting
round the planet in a circular orbits of
the same radius, A is 60 times greater
in mass than the B. Their periods are
in the ratio:
1) 1 : 60
2) 60 : 1
3) 6 : 1
4) 1 : 1
16. Time period of revolution of an object
around a planet of radius R is T. Time
period of revolution of another object
whose orbital distance is 4R is :
1) T
2) 2T
3) 16T
4) 8T
17. An astronaut orbiting the earth in a
circular orbit of 500km above the
surface of the earth gently drops a
steel rod from the space ship. The
steel rod will :
1) Move towards the earth
2) Fall vertically down to the earth
3) Move along the space ship
4) Move in random path and then fall on
to the earth.
18. The Geostationary satellite of Earth
has a time period :
1) 1 month
2) 1 year
3) 12 hours
4) 24 hours
19. A planet revolving around a star in a
circular orbit with a uniform speed ‘u’.
If the gravitational force suddenly
disappears, then the planet will:
1) Continue to move with a speed ‘u’
along the original orbit.
2) Falls into the star
3) Move with a velocity ‘u’, tangentially
to the original orbit.
4) Ultimately come to rest after some
time on the original orbit.
20. If ‘h’ is the height to which water rises
in a capillary tube of certain radius
and if this capillary tube is replaced by
a similar tube of half the radius. Then
the water level will rise to a height of:
1) h
2) 2h
3) 3h
4) 4h.
21. As we move from pole to equator,
the value of ‘g’:
1) Remains the same
2) Increases
3) Decreases
4) Decreases up to a latitude of 450.
22. The operation of a hydraulic brake is
based on:
1)
2)
3)
4)
Boyle’s law.
Pascal’s law
Archimedes principle
Stoke's law
23. The kinetic energy of a satellite of
mass ‘m’ orbiting at a height ‘R’, equal
to the radius of the earth is :
1)
2)
3)
4)
2MgR
mgR/2
mgR/4
mgR
24. In a hydraulic press the large piston
has a area 200cm2 and the small
piston 5cm2. If a force of 250N is
applied to the small piston, then the
force on the large piston is:
1) 10N
2) 10KN
3) 100N
4) 100KN
25. A block of material having a density
ρ1 floats, three-fourth of it is
submerged in a liquid of density ρ2.
Then the density ρ2 of the liquid in
terms of ρ1 is:
1) ρ2 = 4/3 ρ1
2) ρ2 = ¾ ρ1
3) ρ1 = 4/7 ρ2
4) ρ1 = 2ρ2
26. Bernoulli’s principle is based on the
law of conservation of :
1) Momentum
2) Mass
3) Energy
4) None of the above
27. When a piece of ice cube floating in a
bowl containing water melts
completely, then the level of water:
1)
2)
3)
4)
Rises
Remains unchanged
Falls
Depends upon the mass of the ice.
28. A liquid flows in the tube as shown in
the below figure. If a1 and a2 are the
area of cross section of the tube.
Then the ratio of the speeds v1/v2 will
a1
a2
be:
v1
1)
2)
3)
4)
a1/a2
a2/a1
√(a1/a2)
√(a2/a1)
v2
29. What will be the height of liquid of
density 4gm/cm3 in the barometer at a
place where it is 70cm for mercury
barometer:
1)
2)
3)
4)
200cm
280cm
140cm
238cm.
30. A block of wood floats in water with
(1/3)rd of its volume submerge. The
density of wood is:
1)
2)
3)
4)
33 g/cm3
0.33 g/cm3
13 g/cm3
7x103 kg/m3
31. Two bodies of mass 10kg and 1000kg
are separated by a distance of 1 m.
The distance from the smaller body at
which the intensity of gravitational field
will be Zero is:
1) 1/8 m
2) 1/11m
3) 10/11 m
4) 9/10 m
32. A spaceship is launched into a circular
orbit close to earth's surface. The
additional velocity that should be
imparted to the space ship in the orbit
to overcome the gravitational pull is
(Radius of earth = 6400km and g= 9.8m/s2):
1) 11.2 kms-1
2) 8 kms-1
3) 1.5 kms-1
4) 3.2kms-1
33. The viscose drag on a spherical body
of volume ‘V’ moving with a certain
speed is proportional to:
1)
2)
3)
4)
V2/3
V3/2
V1/3
V
34. If both the mass and the radius of the
earth decrease by 50%, the
acceleration due to gravity:
1)
2)
3)
4)
Remains same
Decreases by 50%
Decreases by 100%
Increases by 100%
35. A weightless bag is filled with 10 kg of
water and then weighed in water. The
reading of spring balance is :
1)
2)
3)
4)
10kgf
25kgf
1kgf
Zero
36. A block of wood of total weight 10kg is
floating on the surface of water with its
1/3 part immersed in water. What
should be the maximum weight to be
put on the wood, so that it is completely
immersed in water is
1)
2)
3)
4)
20kg
15kg
12kg
10kg
37. One thousand small drops of water
combined to form one large drop of
water. The ratio of surface energy of
one small drop to one large drop of
water is:
1)
2)
3)
4)
100:1
1000:1
1:100
10:1
38. A soap bubble is charged to a potential
of 12V. Its radius is then increased by 3
times the initial value. The potential of
the bubble now will be:
1)
2)
3)
4)
4V
3V
12V
10V
39. The surface tension of water is
minimum for the temperature :
1)
2)
3)
4)
40C
300C
620C
700C
40. A solid of density ‘d’ is floating in a
liquid of density ρ. If V is the total
volume of the solid and v is the volume
submerged in liquid, then V/v is equal
to :
1)
2)
3)
4)
d/(ρ+d)
d/ρ
ρ/d
ρ/(d+ρ)
41. Two capillary tubes of radii 2mm and
4mm are dipped in the same liquid. The
ratio of heights through which liquid
rises in the tubes is:
1)
2)
3)
4)
1:2
2:1
1:4
4:1
42. A 20N rod is suspended from a wire
and its length changes by 1%. If the
young’s modulus of the wire is
2x1011N/m2, then the area of cross
section of the wire is:
1)
2)
3)
4)
10-3mm2
10-2mm2
10-1mm2
1mm2
43. The density of sea water is 1030kg/m3
whereas the density of ice is 920kg/m3.
The percentage of volume of an
iceberg submerged is:
1)
2)
3)
4)
9.20
10.3
11.2
89
44. A wooden block of volume 1000cm3 is
suspended from a spring balance. Its
weight is 14N in air. It is suspended in
water such that half of the block is
below the surface of water. The reading
of the spring balance is:
1)
2)
3)
4)
10N
12N
8N
9N
45. The level of water in a tank is 5m high.
A hole of area 2cm2 is made at the
bottom of the tank. The rate of leakage
of water from the hole is (g=10m/s2) :
1)
2)
3)
4)
10-3 m3/s
10-4m3/s
2x10-3m3/s
2x10-4m3/s
46. A body floats in water with ¾ of the
volume inside the water. When the
same body floats on another liquid it
floats with 1/3 of the volume outside the
liquid. The relative density of the liquid
is:
1)
2)
3)
4)
4/9
9/4
3/4
3/7
47. The minimum volume of a block of
wood (density=850kg/m3) required to
hold a 50kg person entirely above the
water when he stands on it is:
1)
2)
3)
4)
0.33m3
0.42m3
10cm3
20cm3
48. A block of wood weighing 64N and of
specific gravity 0.8 is tied by a string to
the bottom of a tank of water in order to
have the block totally immersed. The
tension in the string is:
1)
2)
3)
4)
20N
16N
30N
8N
49. A balloon having a mass of 500kg
remains suspended motionless in air. If
the air density is 1.29kg/m3, then the
volume of the balloon is :
1)
2)
3)
4)
388m3
380m3
269m3
350m3
50. The height to which water rise in the
pipes of a building if the water pressure
gauge shows the pressure at the
ground floor to be 294KPa is:
1)
2)
3)
4)
27.6m
30m
33m
42m
51. The object will be submerged until it
displaces water equal to its own:
1)
2)
3)
4)
Volume
Weight
Density
Surface area
52. Surface tension rises due to:
1)
2)
3)
4)
Adhesive force between molecules
Cohesive force between molecules
Gravitational force between molecules
Nuclear force between molecules.
53. A liquid will wet a surface of a solid if
angle of contact is:
1)
2)
3)
4)
900
> 900
< 900
Any negative value.
54. With increase in depth of a river, the
velocity of flow of water:
1)
2)
3)
4)
Decreases
Increases
Remains unchanged
Increases in winter and decreases in
summer.
55. Hooke’s law gives a relation between:
1)
2)
3)
4)
Stress and Strain
Mass and Velocity
Potential Energy and Height
Force and Velocity.
56. If two small balls are suspended near
each other and fast stream of air
passes within the space of the balls,
the balls will:
1)
2)
3)
4)
Fly away from each other
Remain in their original positions
Come nearer to each other
Move far away.
57. Two pieces of glass plate one upon the
other with a little water in between them
cannot be separated easily because of:
1)
2)
3)
4)
Pressure
Inertia
Surface tension
Viscosity.
58. Newton's law of gravitation is applicable
to:
1)
2)
3)
4)
Bodies in solar system only
Bodies on earth only
Planets only
All bodies in the universe.
59. The mass of a body at the centre of
earth is:
1)
2)
3)
4)
Zero
Infinite
Finite and positive
Finite and negative.
60. Two air bubbles in water:
1)
2)
3)
4)
Attract each other
Repel each other
Neither attract nor repel
None of the above.