TOP PYQ (2012-2024) - Contact Number: 9667591930 /

Gravitation 8527521718

1 The minimum energy required to launch a satellite 6 Two bodies of mass m and 9m are placed at a
of mass m from the surface of the earth of mass M and distance R. The gravitational potential on the line
radius R in a circular orbit at an altitude of 2R from the joining the bodies where the gravitational field equals
surface of the earth is: zero, will be:
1. 2GmM
2. GmM (G = gravitational constant)
3R 2R
20 Gm

3. GmM
4. 5GmM
1. −
3R 6R R
8 Gm

2 The escape velocity of a body on the earth's surface 2. − R

is 11.2 km/s. If the same body is projected upward with 12 Gm

3. −
a velocity 22.4 km/s, the velocity of this body at an R

infinite distance from the centre of the earth will be: 16 Gm

4. −
1. 11.2√2 km/s 2. zero R

3. 11.2 km/s 4. 11.2√3 km/s

7 Two astronauts are floating in gravitation-free space
3 In a gravitational field, the gravitational potential is after having lost contact with their spaceship. The two
will:
given by; V = − J/kg. The gravitational field
K

x
1. move towards each other.
intensity at the point (2, 0, 3) m is:
2. move away from each other.
K K
1. + 2. − 3. become stationary.
2 2
4. keep floating at the same distance between them.
K K
3. − 4. +

8 A satellite S is moving in an elliptical orbit around

4 4

4 A mass falls from a height h and its time of fall t is the Earth. If the mass of the satellite is very small as
compared to the mass of the earth, then:
recorded in terms of time period T of a simple
pendulum. On the surface of the earth, it is found that The angular momentum of S about the centre of the
t = 2T . The entire setup is taken on the surface of
1. earth changes in direction, but its magnitude remains
another planet whose mass is half of that of the Earth constant.
and whose radius is the same. The same experiment is The total mechanical energy of S varies periodically
2.
repeated and corresponding times are noted as t and T . ′ ′ with time.
Then we can say: The linear momentum of S remains constant in
3.
1. t = √2T
′
magnitude.
2. t > 2T
′ ′
The acceleration of S is always directed towards the
4.
3. t < 2T
′ ′
centre of the earth.
4. t = 2T
′ ′

5 A remote sensing satellite of the earth revolves in a

circular orbit at a height of 0.25 × 10 m above the 6

surface of the earth. If Earth’s radius is 6.38 × 10 m 6

and g = 9.8 ms , then the orbital speed of the satellite

−2

is:
−1
1. 7.76 kms
2. 8.56 kms
−1

−1
3. 9.13 kms
4. 6.67 kms
−1

Page: 1
 TOP PYQ (2012-2024) - Contact Number: 9667591930 /
Gravitation 8527521718

9 An object of mass 100 kg falls from point A to B as 13 Assuming that the gravitational potential energy of
shown in the figure. The change in its weight, corrected an object at infinity is zero, the change in potential
to the nearest integer (R is the radius of the Earth), is:
E energy (final - initial) of an object of mass m when
taken to a height h from the surface of the earth (of
radius R and mass M ), is given by:
GM mh
1. 2.
GM m
−
R+h R(R+h)

3. 4.
GM m
mgh
R+h

14 A black hole is an object whose gravitational field is

so strong that even light cannot escape from it. To what
approximate radius would Earth (mass
m = 5.98 × 10 kg)
24
have to be compressed to be a
black hole?
1. 10 m
−9

2. 10 m
−6

1. 49 N 3. 10 m
−2

2. 89 N 4. 100 m
3. 5 N
4. 10 N 15 Two planets orbit a star in circular paths with radii
R and 4R, respectively. At a specific time, the two
10 The escape velocity from the Earth's surface is v. planets and the star are aligned in a straight line. If the
The escape velocity from the surface of another planet orbital period of the planet closest to the star is T , what
having a radius, four times that of Earth and the same is the minimum time after which the star and the planets
mass density is: will again be aligned in a straight line?
1. 3v 2. 4v

3. v 4. 2v

11 Two spherical bodies of masses M and 5M and

radii R and 2R are released in free space with initial
separation between their centres equal to 12R. If they
attract each other due to gravitational force only, then
the distance covered by the smaller body before the
collision is: 1. (4) T
2
2.
1

(4) 3 T
1. 2.5R 2. 4.5R
3. 2T 4. 8T
3. 7.5R 4. 1.5R

12 A particle of mass m is projected with a velocity,

v = kve (k < 1)from the surface of the earth. The
maximum height, above the surface, reached by the
particle is:
(Where v = escape velocity, R = the radius of the
e

earth)
2 2
R k Rk
1. 2. 2
1 + k 1 − k
2 2
k k
3. R( ) 4. R( )
1 − k 1 + k

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 TOP PYQ (2012-2024) - Contact Number: 9667591930 /
Gravitation 8527521718

16 Dependence of intensity of gravitational field (E)

20 The time period of a geostationary satellite is 24 hr
of the earth with distance (r) from the centre of the earth at a height 6R (R is the radius of the Earth) from the
E E

is correctly represented by: (where R is the radius of the surface of the earth. The time period of another satellite
earth) whose height is 2.5R from the surface will be:
E

1. 6√2 hr 2. 12√2 hr

3.
24

2.5
hr 4.
12

2.5
hr

1. 2.
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17 The work done to raise a mass m from the surface
of the earth to a height h, which is equal to the radius of FREE ACCESS for 2
the earth, is:
3
days of ANY
1.
NEETprep course
mgR
2

2. mgR
3. 2mgR
1
4. mgR
2

18 A rocket is fired vertically upward with a speed of

ve
from the Earth's surface, where ve is escape
√2

velocity on the surface of Earth. The distance from the

surface of Earth upto which the rocket can go before
returning to the Earth is:
(given, the radius of Earth = 6400 km )
1. 1600 km
2. 3200 km
3. 6400 km
4. 12800 km

19 At what height from the surface of the earth, are the

gravitation potential and the value of g are:
−5.4 × 10 J/kg and 6.0 ms respectively?
7 −2 −2

(Take, the radius of the earth as 6400 km)

1. 1600 km
2. 1400 km
3. 2000 km
4. 2600 km

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