2012
Q51
NEET
MCQ
10 Mar 2026
A geostationary satellite is orbiting the earth at a height of 5R above the surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2R from the surface of the earth is
A.
5
B.
10
C.
6$\sqrt 2 $
D.
${6 \over {\sqrt 2 }}$
2011
Q52
NEET
MCQ
10 Mar 2026
A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is
A.
$\sqrt {{{2GM} \over {{R^2}}}} $
B.
$\sqrt {{{2GM} \over R}} $
C.
$\sqrt {{{2gM} \over {{R^2}}}} $
D.
$\sqrt {2g{R^2}} $
2011
Q53
NEET
MCQ
10 Mar 2026
A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point sutuated at a/2 distance from the centre, will be :
A.
${{GM} \over a}$
B.
${{2GM} \over a}$
C.
${{3GM} \over a}$
D.
${{4GM} \over a}$
2011
Q54
NEET
MCQ
10 Mar 2026
A planet moving along an elliptical orbit is closest to the sun at a distance r1 and farthest away at a distance of r2. If $v$1 and $v$2 are the linear velocities at these points respectively, then the ratio ${{{v_1}} \over {{v_2}}}$ is
A.
(r1 /r2)2
B.
r2/r1
C.
(r2/r1)2
D.
r1/r2
2010
Q55
NEET
MCQ
10 Mar 2026
(1) Centre of gravity (C.G) of a body is the point at which the weight of the body acts
(2) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius.
(3) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G.
(4) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis.
Which one of the following pairs of statements is correct ?
(2) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius.
(3) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G.
(4) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis.
Which one of the following pairs of statements is correct ?
A.
(4) and (1)
B.
(1) and (2)
C.
(2) and (3)
D.
(3) and (4)
2010
Q56
NEET
MCQ
10 Mar 2026
The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is as shown in figures below

The correct figure is

The correct figure is
A.
(4)
B.
(1)
C.
(2)
D.
(3)
2010
Q57
NEET
MCQ
10 Mar 2026
The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R1 to another of radius R2(R2 > R1) is
A.
GmM $\left( {{1 \over {R_1^2}} - {1 \over {R_2^2}}} \right)$
B.
GmM $\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$
C.
2GmM $\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$
D.
${1 \over 2}$GmM $\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$
2010
Q58
NEET
MCQ
10 Mar 2026
The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3V, then the speed of satellite B will be
A.
${{3V} \over 4}$
B.
6$V$
C.
12$V$
D.
${{3V} \over 2}$
2010
Q59
NEET
MCQ
10 Mar 2026
A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point sutuated at a/2 distance from the centre, will be :
A.
${{GM} \over a}$
B.
${{2GM} \over a}$
C.
${{3GM} \over a}$
D.
${{4GM} \over a}$
2010
Q60
NEET
MCQ
10 Mar 2026
A man of 50 kg mass is standing in a gravity free space at a height of 10 m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2 m/s. When the stone reaches the floor, the distance of the man above the floor will be
A.
9.9 m
B.
10.1 m
C.
10 m
D.
20 m
2009
Q61
NEET
MCQ
10 Mar 2026
The figure shows elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. If t1 is the time for the planet to move from C to D and t2 is the time to move from A to B then
A.
t1 = 4t2
B.
t1 = 2t2
C.
t1 = t2
D.
t1 > t2
2007
Q62
NEET
MCQ
10 Mar 2026
Two satellites of earth, S1 and S2 are moving in the same orbit. The mass of S1 is four times the mass of S2. Which one of the following statements is true ?
A.
The potential energies of earth and satellite in the two cases are equal.
B.
S1 and S2 are moving with the same speed.
C.
The kinetic energies of the two satellites are equal.
D.
The time period of S1 is four times that of S2.
2006
Q63
NEET
MCQ
10 Mar 2026
The earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the surface of the earth. The escape velocity of a body from this platform is fv, where v is its escape velocity from the surface of the Earth. The value of f is
A.
1/2
B.
$\sqrt 2 $
C.
1/$\sqrt 2 $
D.
1/3
2005
Q64
NEET
MCQ
10 Mar 2026
For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is
A.
1/2
B.
1/$\sqrt 2 $
C.
2
D.
$\sqrt 2 $
2005
Q65
NEET
MCQ
10 Mar 2026
Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g', then
A.
g' = g/9
B.
g' = 27g
C.
g' = 9g
D.
g' = 3g
2004
Q66
NEET
MCQ
10 Mar 2026
The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R, the radius of the planet would be
A.
2R
B.
4R
C.
${1 \over 4}$R
D.
${1 \over 2}$R
2003
Q67
NEET
MCQ
10 Mar 2026
A body of mass m is placed on earth's surface which is taken from earth surface to a height of h = 3R, then change in gravitational potential energy is
A.
${{mgR} \over 4}$
B.
${2 \over 3}mgR$
C.
${3 \over 4}mgR$
D.
${{mgR} \over 2}$
2003
Q68
NEET
MCQ
10 Mar 2026
The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2 m on the surface of A. What is the height of jump by the same person on the planet B?
A.
(2/9) m
B.
18 m
C.
6 m
D.
(2/3) m
2003
Q69
NEET
MCQ
10 Mar 2026
Two spheres of masses m and M are situated in air 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
A.
3 F
B.
F
C.
F/3
D.
F/9
2001
Q70
NEET
MCQ
10 Mar 2026
With what velocity should a particle be projected so that its height becomes equal to radius of earth?
A.
${\left( {{{GM} \over R}} \right)^{1/2}}$
B.
${\left( {{{8GM} \over R}} \right)^{1/2}}$
C.
${\left( {{{2GM} \over R}} \right)^{1/2}}$
D.
${\left( {{{4GM} \over R}} \right)^{1/2}}$
2000
Q71
NEET
MCQ
10 Mar 2026
Gravitational force is required for
A.
stirring of liquid
B.
convection
C.
conduction
D.
radiation.
2000
Q72
NEET
MCQ
10 Mar 2026
A body of weight 72 N moves from the surface of earth at a height half of the radius of earth, then gravitational force exerted on it will be
A.
36 N
B.
32 N
C.
144 N
D.
50 N
2000
Q73
NEET
MCQ
10 Mar 2026
For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth. Then escape velocity for this planet will be
A.
11.2 km/sec
B.
22.4 km/sec
C.
5.6 km/sec
D.
44.8 km/sec.