PHYSICS 1 TOPIC : GRAVITATION

PREVIOUS YEAR QUESTIONS 6. The acceleration due to gravity at a height 1km

NEET above the earth is the same as at a depth d below
1. The work done to raise a mass m from the surface the surface of earth, then : [NEET 2017]

of the earth to a height h, which is equal to the 3

(d) d = 1km (b) d = km
radius of the earth is : [NEET 2019] 2
1
3 (c) d = 2km (d) d  km
(a) mgR (b) mgR 2
2
7. Two astronauts are floating in gravitational free
1
(c) 2 mgR (d) mgR sapce after having lost contact with their spaceship.
2
The two will : [NEET 2017]
2. A body weighs 200N on the surface of the earth.
(a) move towards each other
How much will it weigh half way down to the centre
(b) move away from each other
of the earth ? [NEET 2019]
(c) will become stationary.
(a) 100N (b) 150N (c) 200N (d) 250 N
(d) Keep floating at the same distance between
3. The time period of a geostationary satellite is 24
them.
hm, at a height 6RE (RE is radius of earth) From
8. Starting from the centre of the earth having radius
surface of earth. The time period of another satellite
R, the variation of g (acceleration due to gravity) is
whose height is 2.5 RE from surface will be :
shown by : [NEET –II 2016]
[Odisha NEET 2019]

(a) 6 2 h (b) 12 2 h
(a) (b)
24 12
(c) h (d) h
2.5 2.5

4. The kinetic energies of a planet in an elliptical orbit

about the sun, at positions A, B and C are KA, KB
(c) (d)
and KC, respectively. AC is the major axis and SB is
perpendicular to AC at the position of the Sun S as
shown in the figure. Then : [NEET 2018] 9. A satellite of mass m is orbiting the earth (of radius

(1) KA < KB < KC R) at a height h from its surface. The total energy
(2) KA > KB > KC of the satellite in terms of g 0 , the value of
(3) KB < KA < KC acceleration due to gravity at the earth's surface,
(4) KB > KA > KC is: [NEET –II 2016]
5. If the mass of the Sun were ten times smaller and
mg0R 2 mg0R 2
the universal gravitational constant were ten times (a) 2 R  h (b) –
  2 R  h 
larger in magnitude, which of the following is not
correct ? [NEET 2018] 2mg0R 2 2mg0R 2
(c) (d) 
(a) Raindrops will fall faster R h R h
(b) Walking on the ground would become more 10. At what height from the surface of earth the
difficult gravitation potential and the value of g are
(c) Time period of a simple penculum on the earth –5.4×107J Kg–1 and 6.0 ms–2 respectively ? Take
would decrease
the radius of earth as 6400 km. [NEET –I 2016]
(d) g on the Earth will not change.
(a) 1400 km (b) 2000km
(c) 2600 km (d) 1600 km
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PHYSICS 2 TOPIC : GRAVITATION

11. The ratio of escape velocity at earth (ve) to th 15. A black hold is an object whose gravitational field is
escape velocity at a planet (vp) whose radius and no strong that even light cannot escape from it. To
mean density are twice as that of earth is : what approximate radius would earth (mass
[NEET –I 2016] = 5.98 × 1024 kg) have to be compressed to be a
(a) 1 : 4 (b) 1 : 2 black hole ? [2014]

(c) 1 : 2 (d) 1 : 2 2 (a) 10–9 m (b) 10–6 m

12. A remote-sensing satellite of earth revolves in a (c) 10–2 m (d) 100 m

circular orbit at a height of 0.25 × 106 m above 16. Dependence of intensity of gravitational field (F) of

the surface of earth. If earth's radius is 6.38×106 earth iwht distance (r) from centre of earth is

m and g= 9.8 ms–2, then the orbital speed of the correctly represented by : [2014]

statellite is : [2015]
(a) 9.13 km s–1 (b) 6.67 km s–1
(a) (b)
(c) 7.76 km s–1 (d) 8.56 km s–1
13. A satellite S is moving in an alliptical orbit around
the earth. The mass of the satellite is very small
compared to the mass of the earth. Then :
[2015 Cancelled] (c) (d)

(a) The linear moment of S remains constant is

magnitude. 17. Infinite number of bodies, each of mass 2kg are

(b) The acceleration of S is always directed towards situated on x-axis at distances 1m, 2m, 4m, 8m,

the centre of the earth ..., respectively, from the origin. The resulting
gravitational potential due to this system at the
(c) the angular momentum of S above the centre
origin will be : [NEET –2013]
of the earth changes in direction, but its magnitude
4 8
remains constant. (a)  G (b) –4G (c) –G (d) – G
3 3
(d) The total mechanical energy of S varies
18. A body of mass 'm' is taken from the earth's surface
periodically with time. to the height equal to twice the radius (R) of the
14. Kepler’s third law states that square of period of earth. The change in potential energy of body will
revolution (T) of a planet around the sun is be : [NEET –2013]
proportional to third power of average distance r 1
(a) 3mgR (b) mgR
between sun and planet i.e. T =Kr 2 3
here K is 3
constant. It the masses of sun and planet are M 2
(c) mg 2R (d) mgR
3
and m respectively then as per Newton’s law of
19. The radius of a planet is twice the radius of earth.
gravitation force of attraction beween them is
Both have almost equal average mass-densities. Vp
GMm
f here G is gravitational constant. The and VE are escape velocities of the planet and the
r2
relation between G and K is described as : earth, respectively, then :

[2015 Cancelled] [Karnataka NEET –2013]

(a) VP = 1.5 VE (b) VP = 2 VE
1
(a) K = G (b) K  (c) VE = 3 VP (d) VE = 1.5 VP
G
(c) GK 42 (d) GMK = 42

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PHYSICS 3 TOPIC : GRAVITATION
20. A particle of mass 'm' is kept at rest at a height '3R' 25. Which one of the following plots represents the
from the surface of earth, where 'R' is radius of earth variation of gravitational field on a particle with
and 'M' is mass of earth. The minimum speed with distance r due to a thin spherical shell of radius R ?

which it should be projected, so that it does not (r is meausred from the centre of the spherical shell)

return back, is (g is accelerated due to gravity on [Mains 2012]

the surface of earth) : [Karnataka NEET 2013]

1/2 1/2
 GM   gR  (a) (b)
(a)   (b)  
 2R   4 
1/2 1/2
 2g   GM 
(c)   (d)  
R   R 
21. The height at which the weight of a body becomes
(c) (d)
1/16th, its weight on the surface of earth (radius R),
is : [2012]
26. A planet moving along an elliptical orbit is closest to
(a) 5R (b) 15R (c) 3R (d) 4R
the sun at a distance r1 and farthest away at a
22 A spherical planet has a mass MP and diameter DP. A
distance of r2. If v1 and v2 are the linear velocities at
particle of mass M falling freely near the surface of
these points respectively, then the ratio is :
this planet will experience an acceleration due to
gravity, equal to : [2012] [2011]

4GMP GMpm (a) (r1/r2)2 (b) r2/12 (c) (r2/r1)2 (d) r2/r1
(a) D2 (b) 2
27. A particle of mass m is thrown upwards from the
P D P

surface of the earth, with a velocity u. The mass

GMp 4GMpm
(c) (d) and the radius of the earth are , respectively, M
DP2 DP2
and R. G is gravitational constant and g is
23. A geostationary satellite is orbitig the earth at a
acceleration due to gravity on the surface of the
height of 5R above the surface of the earth, R being
earth. The minimum value of u so that the particle
the radius of the earth. The time period of another does not return back to earth, is :
satellite in hours at a height of 2R from the surface [Mains 2011]

of the earth is :
(a) (b)
6
(a) 5 (b) 10 (c) 6 2 (d)
2
(c) (d)
24. If ve is escape velocity and v0 is orbital velocity of a

satellite for orbit close to the earth's surface, then 28. A particle of mass M is situated at the centre of a
spherical shell of same mass and radius a. The
these are related by :
magnitude of the gravitational potential at a point
(a) v 0  2 v e (b) v 0  v e
situated at a/2 distannce from the centre, will be :
(c) v e  2v 0 (d) v e  2v 0 [Mains 2011, 2010]

(a) (b) (c) (d)

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PHYSICS 4 TOPIC : GRAVITATION
33. (1) Centre of gravity (C, G), of a body is the point
29. The radii of circular orbits of two satellite A and B of
at which the weight of the body acts
the earth, are 4R and R, respectively speed of
(2) Centre of mass coincides with the centre of
satellite A is 3V, then the speed satellite B will be – gravity if the earth is assumed to have infinitely
[2010] large radius
(a) 3V/4 (b) 6 V (c) 12 V (d) 3 V/2 (3) To evaluate the gravitational field intensity due
to any body at an external point. The entire mass
30. A man of 50kg mass is standing in a gravity free
of the body can be considered to be concentrated
sapce at a height of 10m above the floor. He throws
at its C.G.
a stone of 0.5 kg mass downwards with a speed
(4) The radius of gyration of any body rotating
2m/s. When the stone reaches the floor, the about an axis is the length of the perpendicular
distance of the man above the floor will be : drawn from the C.G. of the body of the axis.
[2010] [Mains 2010]
(a) (4) and (1) (b) (1) and (2)
(a) 9.9m (b) 10.1m (c) 10 m (d) 20m
(c) (2) and (3) (d) (3) and (4)
31. The additional kinetic energy to be provided to a
34. The figure shows elliptical orbit of a planet m about
satellite of mass m revolving around a planet of
the sun S. The shaded area SCD is twice the
mass M, to transfer it from a circular orbit of radius
shaded area SAB. If t1 is the time for the planet to
R1 to another of radius R2 (R2 > R1) is –
move from C to D and t2 is the time to move from
[Mains 2010]
A to B then- [2009]
 1 1   1 1 
(a) GmM  2  2  (b) GmM  R  R  (a) t1 = 4t2
 R1 R 2   1 2  m v
B C
 1 1   1 1  (b) t1 = 2t2
1
(c) 2 GmM  R  R  (d) GmM  R  R  S
 1 2  2  1 2  A D
(c) t1 = t2

32. The dependence of acceleration due to gravity ‘g’ (d) t1 > t2

on the distance ‘r’ from the centre of the earth, 35. Two satellites of earth, S1 and S2 are moving in the

assumed to be a sphere of radius R of uniform same orbit. The mass of S1 is four times the mass
of S2. Which one of the following statement is true?
density is as shown in figure below-
[2007]
[Mains 2010]
(a) The potential energies of earth and satellite in
the two cases are equal
g g (b) S1 and S2 are moving with the same speed
(1) (2) (c) The kinetic energies of the two satellite are equal
r r
R R (d) The time period of S1 is four times that of S2
36. The earth is assumed to be a sphere of radius R. A
platform is aarranged at a height R from the surface
g g
of the earth. The escape velocity of a body from
(3) (4)
this platform is fv, where v is its escape velocity
r r
R R
from the surface of the Earth. The value of f is :
The correct figure is (a) 1/2 (b) (c) 1/ 2 (d) 1/3
2
(a) 4 (b) 1 (c) 2 (d) 3
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PHYSICS 5 TOPIC : GRAVITATION

37. Imagine a new planet having the same density as 41. The acceleration due to gravity on the planet A is

that of earth but it is 3 times bigger than the earth 9 times the acceleration due to gravity on planet

in size. If the acceleration due to gravity on the B. A man jumps to a height of 2m on the surface

surface of earth is g and that on the surface of the of A. What is the height of jump by the same

new planet is g’, then- [2005] person on the planet B ? [2003]

(a) g’ = g/9 (4) g’ = 27g (a) (2/9) m (b) 18m (c) 6m (d) (2/3)m

(1) g’ = 9g (2) g’ = 3g 42. A body of mass m is placed on earth's surface which

38. For a satellite moving in an orbit around the earth, is taken from earth surface to a height of h = 3R,

the ratio of kinetic energy to potential energy is- then change in gravitational potential energy is :

[2005] [2001]

mgR 2
1 (a) (b) mgR
(1) 2 (2) 1/2 (3) (4) 2 4 3
2
39. The density of a newly discovered planet is twice 3 mgR
(c) mgR (d)
4 2
that of earth. The acceleration due to gravity at
43. With what velocity should a particle be projected
the surface of the planet is equal to that at the
so that its height becomes equal to radius of earth?
surface of the earth. If the radius of the earth is R,
[2001]
the radius of the planet would be : [2004]
1
1 1 (a) 3mgR (b) mgR
(a) 2R (b) 4R (c) R (d) R 3
4 2
2
40. Two spheres of masses m and M are situated in air (c) mg 2R (d) mgR
3
and the gravitational force between them is F. The
space around the masses is now filled with a liquid
of specific gravity 3. The gravitational force will now
be : [2003]
(a) 3F (b) F (c) F/3 (d) F/9

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PHYSICS 6 TOPIC : GRAVITATION
PREVIOUS YEAR QUESTIONS (d)gravitational constant
AIIMS 7. The difference in the length of a mean solar day
1. The escape velocity from the earth is 11.2 km/ and a sidereal day is about : [2003]
sec. The escape velocity from a planet having twice (a)1 minute (b)4 minute
the radius and the same mean density as the earth,
(c)15 minute (d)56 minute
is : [2001]
8. The condition for a uniform spherical mass m of
(a)11.2 km/sec (b)22.4 km/sec radius r to be a black hole is : [G = gravitational
(c)15.00 km/sec (d)5.8 km/sec constant and g = acceleration due to gravity]
2. If v0 be the orbital velocity of a satellite in a circular [2005]
orbit close to the earth’s surface and ve is the escape
1/2 1/2

velocity from the earth, then relation between the  2Gm   2Gm 
 r  c (b)   c
   r 
two is [2002]
1/2 1/2
 2Gm   gm 
(a) ve = 2v0 (b) v e  3 v 0 (c)   c (d)   c
 r   r 
(c) v e  v 0 2 (d) v0 = ve
9. Height of geostationary satellite is [2007]
3. Hubble’s law is related with [2002] (a)16000 km (b)22000 km
(a)planetary motion (b)speed of galaxy (c)28000 km (d)36000 km
(c)black hole (d)comet 10. The force of gravitation is [2007]
4. The radius of earth is about 6400 km and that of (a)repulsive (b)conservative
mass is about 3200 km. The mass of the earth is (c)electrostatic (d)non-conservative
about 10 times of the mass. The object weighs 11. A long straight wire of radius a carries a steady
200 N on earth surface, then its weight on the current i. The current is uniformly distributed across
surface of mars will be [2002] its cross section. The ratio of the magnetic field at
(a)80 N (b)40 N a/2 and 2a is [2008]
(c)20 N (d)8 N (a)1/2 (b)1/4 (c)4 (d)1
5. A satellite is launched into a circular orbit of radius 12. Two bodies of masses m1 and m2 are initially at rest
R around the earth. While a second satellite at infinite distance apart. They are then allowed to
launched into an orbit of radius 1.01R. The period move towards each other under mutual
of the second satellite is longer than the first one gravitational attraction. Their relative velocity of
by approximately : [2002] approach at a separation distance r between them

(a)3.0% (b)1.5% is [2008]

  m1  m2  
1/2
(c)0.7% (d)1.0%  2G
1/2

(a) 2G
r
 (b) 
r
m1  m2 
6. The velocity with which a projectile must be fired    
so that it escapes earth's gravitation does not 1/2
 r   2G 
1/2
depend on : [2003] (c)  2G m m  (d)  m1m2 
  1 2    r 
(a)mass of the earth
(b)mass of the projectile
(c)radius of the projectile's orbit

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PHYSICS 7 TOPIC : GRAVITATION

13. A satellite S is moving in an elliptical orbit around 17. Suppose, the acceleration due to gravity at the
the earth. The mass of the satellite is very small Earth's surface is 10 m s–2 and at the surface of
compared to the mass of the earth. Then Mars it is 4.0 m s–2. A 60 kg pasenger goes from
the Earth to the Mars in a spaceship moving with a
[2010]
constant velocity. Neglect all other objects in the
(a)the acceleration of S is always directed towards
sky. Which part of figure best represents the weight
the centre of the earth
(net gravitational force) of the passenger as a
(b)the angular momentum of S about the centre function of time? [2012]
of the earth changes in direction, but its magnitude
remains constant

(c)the total mechanical energy of S varies

periodically with time

(d)the linear momentum of S remains constant in

(a)A (b)B (c)C (d)D
magnitude
18. Two masses m1 and m2 (m1 < m2) are released from
14. If the earth were to cease rotating about its own rest from a finite distance. They start under their
axis. The increase in the value of g in C.G.S. system mutual gravitational attraction – [2012]
at a place of latitude of 45° will be [2010] (a)acceleration of m1 is more than that of m2.

(a)2.68 (b)1.68 (b)acceleration of m2 is more than that of m1.

(c)3.36 (d)0.34 (c)centre of mass of system will remain at rest in all

the reference frame
15. A geostationary satellite is orbiting the earth at a
(d)total energy of system does not remain constant
height of 6 R from the earth’s surface (R is the
19. The escape velocity for a body projected vertically
earth’s radius ). What is the period of rotation of
upwards from the surface of earth is 11 km/s. If
another satellite at a height of 2.5 R from the
the body is projected at an angle of 45º with the
earth’s surface [2011]
vertical, the escape velocity will be [2013]
(a) 6 2 hours (b)10 hours (a)22 km/s (b)11 km/s

5 5 11
(c) hours (d) none of the above (c) km / s (d) 11 2 km/s
3 2

16. The angular speed of earth in rad/s, so that bodies 20. The radii of two planets are respectively R1 and R2

on equator may appear weightless is : and their densities are respectively 1 and 2. The
ratio of the accelerations due to gravity at their
[Use g = 10 m/s2 and the radius of earth = 6.4 ×
surfaces is [2013]
103 km] [2011]
1  2
(a)1.25 × 10–3 (b)1.56 × 10–3 (a) g1 : g2  :
R12 R 22
(c)1.25 ×10–1 (d)1.56
(b) g1 : g2  R1 R 2 : 12

(c) g1 : g2  R12 : R 11

(d) g1 : g2  R11 : R 2 2

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PHYSICS 8 TOPIC : GRAVITATION

21. A body starts from rest from a point distance R0 24. Taking the gravitational potential at a point infinte
from the centre of the earth. The velocity acquired distance away as zero, the gravitational potential
by the body when it reaches the surface of the at a point A is –5 unit. If the gravitational potential
earth will be (R represents radius of the earth). at point infinite distance away is taken as + 10 units,
[2014] the potential at point A is [2015]

1 1   1 1 (a)– 5 unit (b)+ 5 unit

(a) 2GM  R  R  (b) 2GM   
 0   R0 R  (c)+ 10 unit (d)+ 15 unit
25. A particle of mass M is situated at the centre of a
1 1  1 1 
(c) GM  R  R  (d) 2GM    spherical shell of same mass and radius a. The
 0   R R0 
a
22. A body starts from rest from a point distance R0 gravitational potential at a point situated at
2
from the centre of the earth. The velocity acquired distance from the centre, will be [2016]
by the body when it reaches the surface of the
3GM 2GM GM 4GM
earth will be (R represents radius of the earth). (a)  (b)  (c)  (d) 
a a a a
[2014]
26. The distance of neptune and saturn from the sun
mgR e is nearly 1013 and 1012 meter respectively. Assuming
(a) – m g Re (b)
2
that they move in circular orbits, their periodic times
mgR e mgR e will be in the ratio [2016]
(c) (d)
3 4
(a) 10 (b) 100
23. Four similar particles of mass m are orbiting in a
(c) 10 10 (d) 1000
circle of radius r in the same angular direction
27. The change in the value of ‘g’ at a height ‘h’ above
because of their mutual gravitational attractive
the surface of the earth is the same as at a depth
force. Velocity of a particle is given by [2014]
‘d’ below the surface of earth. When both ‘d’ and
‘h’ are much smaller than the radius of earth, then
which one of the following is correct? [2017]

3h h
(a) d  (b) d 
2 2
(c) d = h (d) d =2 h

1/
 GM  1  2 2   GM
(a)     (b) 3
 r  4   r

1/
 1 GM  1  2  
(c)
GM
r

12 2  (d)   
 2 r  2  

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PHYSICS 9 TOPIC : GRAVITATION

PREVIOUS YEAR QUESTIONS ANSWER KEY

NEET
Q. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

Ans. d a a b d c a b b c d c b d c a b d

Q. 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

Ans. b a c a c d b b b c b b d a a b b c

Q. 37 38 39 40 41 42 43

Ans. d a d b b c a

PREVIOUS YEAR QUESTIONS ANSWER KEY

AIIMS
Q. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

Ans. b c b a b b b c d b d b a b a a c a

Q. 19 20 21 22 23 24 25 26 27b d b b a b a c d

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