Question 1: Palette 1/66

NEET 2026 MCQ

The amount of work done to raise a mass ' $m$ ' from the surface of the Earth to a height equal to the radius of the Earth ' $R$ ' will be

A

$2 m g R$

B

$m g \frac{R}{4}$

C

$m g R$

D

$m g \frac{R}{2}$

Question 2: Palette 2/66

NEET 2026 MCQ

Two planets $P_1$ and $P_2$ with equal mass have radii $R_1$ and $R_2$, respectively, where $R_2=\frac{R_1}{2}$. The escape speeds of $P_1$ and $P_2$ are $v_1$ and $v_2$, respectively. Then $\frac{v_2}{v_1}$ is:

A

2

B

$\frac{1}{\sqrt{2}}$

C

1

D

$\sqrt{2}$

Question 3: Palette 3/66

NEET 2026 MCQ

In a solar system, the time-period of revolution of a planet tracing a circular orbit of radius $R$ is proportional to:

A

$R^3$

B

$R^{1 / 2}$

C

$R^{3 / 2}$

D

$R^2$

Question 4: Palette 4/66

NEET 2025 MCQ

The radius of Martian orbit around the Sun is about 4 times the radius of the orbit of Mercury. The Martian year is 687 Earth days. Then which of the following is the length of 1 year on Mercury?

A

172 earth days

B

124 earth days

C

88 earth days

D

225 earth days

Question 5: Palette 5/66

NEET 2025 MCQ

A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is:

A

32 N

B

36 N

C

16 N

D

27 N

Question 6: Palette 6/66

NEET 2024 MCQ

The escape velocity for earth is $v$. A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:

A

$\frac{v}{3}$

B

$\frac{2 v}{3}$

C

$\frac{3 v}{4}$

D

$\frac{9 v}{4}$

Question 7: Palette 7/66

NEET 2024 MCQ

An object of mass $100 \mathrm{~kg}$ falls from point $A$ to $B$ as shown in figure. The change in its weight, corrected to the nearest integer is ($R_E$ is the radius of the earth)

A

49 N

B

89 N

C

5 N

D

10 N

Question 8: Palette 8/66

NEET 2024 MCQ

The mass of a planet is $\frac{1}{10}$th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:

A

$19.6 \mathrm{~m} \mathrm{~s}^{-2}$

B

$9.8 \mathrm{~m} \mathrm{~s}^{-2}$

C

$4.9 \mathrm{~m} \mathrm{~s}^{-2}$

D

$3.92 \mathrm{~m} \mathrm{~s}^{-2}$

Question 9: Palette 9/66

NEET 2024 MCQ

The minimum energy required to launch a satellite of mass $m$ from the surface of earth of mass $M$ and radius $R$ in a circular orbit at an altitude of $2 R$ from the surface of the earth is:

A

$\frac{5 G m M}{6 R}$

B

$\frac{2 G m M}{3 R}$

C

$\frac{G m M}{2 R}$

D

$\frac{G m M}{3 R}$

Question 10: Palette 10/66

NEET 2023 MCQ

The escape velocity of a body on the earth surface is $11.2 \mathrm{~km} / \mathrm{s}$. If the same body is projected upward with velocity $22.4 \mathrm{~km} / \mathrm{s}$, the velocity of this body at infinite distance from the centre of the earth will be:

A

$11.2 \sqrt{2} \mathrm{~km} / \mathrm{s}$

B

Zero

C

$11.2 \mathrm{~km} / \mathrm{s}$

D

$11.2 \sqrt{3} \mathrm{~km} / \mathrm{s}$

Question 11: Palette 11/66

NEET 2023 MCQ

If $\mathrm{R}$ is the radius of the earth and $\mathrm{g}$ is the acceleration due to gravity on the earth surface. Then the mean density of the earth will be :

A

$\frac{\pi \mathrm{RG}}{12 \mathrm{~g}}$

B

$\frac{3 \pi R}{4 g G}$

C

$\frac{3 g}{4 \pi R G}$

D

$\frac{4 \pi \mathrm{G}}{3 g R}$

Question 12: Palette 12/66

NEET 2023 MCQ

Two bodies of mass $m$ and $9 m$ are placed at a distance $R$. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be ($G=$ gravitational constant) :

A

$-\frac{12 G m}{R}$

B

$-\frac{16 G m}{R}$

C

$-\frac{20 G m}{R}$

D

$-\frac{8 G m}{R}$

Question 13: Palette 13/66

NEET 2023 MCQ

A satellite is orbiting just above the surface of the earth with period $T$. If $d$ is the density of the earth and $G$ is the universal constant of gravitation, the quantity $\frac{3 \pi}{G d}$ represents :

A

$T^{2}$

B

$T^{3}$

C

$\sqrt{T}$

D

$T$

Question 14: Palette 14/66

NEET 2022 MCQ

A gravitational field is present in a region and a mass is shifted from A to B through different paths as shown. If W₁, W₂ and W₃ represent the work done by the gravitational force along the respective paths, then :

A

W₁ < W₂ < W₃

B

W₁ = W₂ = W₃

C

W₁ > W₂ > W₃

D

W₁ > W₃ > W₂

Question 15: Palette 15/66

NEET 2022 MCQ

In a gravitational field, the gravitational potential is given by, $V = - {K \over x}$ (J/Kg). The gravitational field intensity at point (2, 0, 3) m is

A

$ + {K \over 4}$

B

$ + {K \over 2}$

C

$ - {K \over 2}$

D

$ - {K \over 4}$

Question 16: Palette 16/66

NEET 2022 MCQ

A body of mass 60 g experiences a gravitational force of 3.0 N, when placed at a particular point. The magnitude of the gravitational field intensity at that point is

A

0.05 N/kg

B

50 N/kg

C

20 N/kg

D

180 N/kg

Question 17: Palette 17/66

NEET 2022 MCQ

Match List - I with List - II

	List - I		List - II
(a)	Gravitational constant (G)	(i)	$[{L^2}{T^{ - 2}}]$
(b)	Gravitational potential energy	(ii)	$[{M^{ - 1}}{L^3}{T^{ - 2}}]$
(c)	Gravitational potential	(iii)	$[L{T^{ - 2}}]$
(d)	Gravitational intensity	(iv)	$[M{L^2}{T^{ - 2}}]$

Choose the correct answer from the options given below

A

(a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)

B

(a)-(ii), (b)-(iv), (c)-(i), (d)-(iii)

C

(a)-(ii), (b)-(iv), (c)-(iii), (d)-(i)

D

(a)-(iv), (b)-(ii), (c)-(i), (d)-(iii)

Question 18: Palette 18/66

NEET 2021 MCQ

The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is :

A

4$\upsilon $

B

$\upsilon $

C

2$\upsilon $

D

3$\upsilon $

Question 19: Palette 19/66

NEET 2021 MCQ

A particle of mass 'm' is projected with a velocity $\upsilon $ = kV_e = (k < 1) from the surface of the earth. (V_e = escape velocity)

The maximum height above the surface reached by the particle is :

A

${{R{k^2}} \over {1 - {k^2}}}$

B

$R{\left( {{k \over {1 - {k^2}}}} \right)^2}$

C

$R{\left( {{k \over {1 + {k^2}}}} \right)^2}$

D

${{{R^2}k} \over {1 + k}}$

Question 20: Palette 20/66

NEET 2020 MCQ

A body weighs 72 N on the surface of the earth. What is the gravitational force on it, at a height equal to half the radius of the earth?

A

32 N

B

30 N

C

24 N

D

48 N

Question 21: Palette 21/66

NEET 2019 MCQ

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 the earth, is :

A

mgR

B

2mgR

C

${1 \over 2}$mgR

D

${3 \over 2}$mgR

Question 22: Palette 22/66

NEET 2019 MCQ

A body weight 200 N on the surface of earth. How much will it weight half way down to the centre of the earth?

A

200 N

B

250 N

C

100 N

D

150 N

Question 23: Palette 23/66

NEET 2018 MCQ

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are K_A, K_B and K_C, 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

A

K_A < K_B < K_C

B

K_A > K_B > K_C

C

K_B < K_A < K_C

D

K_B > K_A > K_C

Question 24: Palette 24/66

NEET 2018 MCQ

If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct?

A

Raindrops will fall faster.

B

Walking on the ground would become more difficult.

C

Time period of a simple pendulum on the Earth would decrease.

D

g on the Earth will not change.

Question 25: Palette 25/66

NEET 2017 MCQ

The acceleration due to gravity at a height at a height 1 km above the rearth is the same as at a depth d below the surface of earth. Then

A

d = 1 km

B

d = ${3 \over 2}$ km

C

d = 2 km

D

d = ${1 \over 2}$ km

Question 26: Palette 26/66

NEET 2017 MCQ

Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will

A

move towards each other.

B

move away from each other.

C

will become stationary.

D

keep floating at the same distance between them.

Question 27: Palette 27/66

NEET 2016 MCQ

Starting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by

A

B

C

D

Question 28: Palette 28/66

NEET 2016 MCQ

A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g₀, the value of acceleration due to gravity at the earth's surface, is

A

${{m{g_0}{R^2}} \over {2\left( {R + h} \right)}}$

B

$ - {{m{g_0}{R^2}} \over {2\left( {R + h} \right)}}$

C

${{2m{g_0}{R^2}} \over {R + h}}$

D

$ - {{2m{g_0}{R^2}} \over {R + h}}$

Question 29: Palette 29/66

NEET 2016 MCQ

The ratio of escape velocity at earth (v_e) to the escape velocity at a planet (v_p) whose radius and mean density are twice as that of earth is

A

1 : 4

B

1 : $\sqrt 2 $

C

1 : 2

D

1 : 2$\sqrt 2 $

Question 30: Palette 30/66

NEET 2016 MCQ

At what height from the surface of earth the gravitation potential and the value of g are $-$5.4 $ \times $ 10⁷ J kg^$-$1 and 6.0 m s^$-$2 respectively? Take the radius of earth as 6400 km.

A

1400 km

B

2000 km

C

2600 km

D

1600 km

Question 31: Palette 31/66

NEET 2015 MCQ

A remote-sensing satellite of earth revolves in a circular orbit at a height of 0.25 $ \times $ 10⁶ m above the surface of earth. If earth's radius is 6.38 $ \times $ 10⁶ m and g = 9.8 ms^$-$2, then the orbital speed of the satellite is

A

9.13 km s^$-$1

B

6.67 km s^$-$1

C

7.76 km s^$-$1

D

8.56 km s^$-$1

Question 32: Palette 32/66

NEET 2015 MCQ

A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth. Then,

A

the linear momentum of S remains constant in magnitude.

B

the acceleration of S is always directed towards the centre of the earth.

C

the angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant.

D

the total mechanical energy of S varies periodically with time.

Question 33: Palette 33/66

NEET 2015 MCQ

Kepler's third law states that square of period of revoluation (T) of a planet around the sun, is proportional to third power of average distance r between sun and planet i.e. T² = Kr³ here K is constant. If the masses of sun and planet are M and m respectively then as per Newton's law of gravitation force of attraction between them is F = ${{GMm} \over {{r^2}}}$, here G is gravitational constant. The relation between G and K is described as

A

K = G

B

K = ${1 \over G}$

C

GK = 4$\pi $²

D

GMK = 4$\pi $²

Question 34: Palette 34/66

NEET 2014 MCQ

Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by

A

B

C

D

Question 35: Palette 35/66

NEET 2014 MCQ

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 = 5.98 $ \times $ 10²⁴ kg) have to be compressed to be a black hole?

A

10^$-$9 m

B

10^$-$6 m

C

10^$-$2 m

D

100 m

Question 36: Palette 36/66

NEET 2013 MCQ

A particle of mass 'm' is kept at rest at a height 3R from the surface of earth, where 'R' is radius of earth and 'M' is mass of earth. The minimum speed with which it should be projected , so that it does not return back, is
(g is acceleration due to gravity on the surface of earth)

A

${\left( {{{GM} \over {2R}}} \right)^{1/2}}$

B

${\left( {{{gR} \over 4}} \right)^{1/2}}$

C

${\left( {{{2g} \over R}} \right)^{1/2}}$

D

${\left( {{{GM} \over R}} \right)^{1/2}}$

Question 37: Palette 37/66

NEET 2013 MCQ

The radius of a planet is twice the radius of earth. Both have almost equal average mass densities. V_P and V_E are escape velocities of the planet and the earth, respectively, then

A

V_P = 1.5 V_E

B

V_P = 2 V_E

C

V_E = 3 V_P

D

V_E = 1.5 V_P

Question 38: Palette 38/66

NEET 2013 MCQ

A body of mass 'm' is taken from the earth's surface to the height equal to twice the radius (R) of the earth. The change in potential energy of body will be

A

3mgR

B

${1 \over 3}$mgR

C

mg2R

D

${2 \over 3}$ mgR

Question 39: Palette 39/66

NEET 2013 MCQ

Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1 m, 2 m, 4 m, 8 m, . . . , respectively, from the origin. The resulting gravitational potential due to this system at the origin will be

A

$ - {4 \over 3}$ G

B

$-$ 4G

C

$-$ G

D

$ - {8 \over 3}$ G

Question 40: Palette 40/66

NEET 2012 MCQ

If ${v_e}$ is escape velocity and ${v_o}$ is orbital velocity of a satellite for orbit close to the earth's surface, then these are related by

A

${v_o} = \sqrt {2{v_e}} $

B

v_o $=$ v_e

C

${v_e} = \sqrt {2{v_o}} $

D

${v_e} = \sqrt 2 {v_o}$

Question 41: Palette 41/66

NEET 2012 MCQ

Which one of the following plots represents the variation of gravitiational field on a particle with distance r due to a thin spherical shell of radius R? (r is measured from the centre of the spherical shell)

A

B

C

D

Question 42: Palette 42/66

NEET 2012 MCQ

The height at which the weight of a body becomes ${\left( {{1 \over {16}}} \right)^{th}}$, its weight on the surface of earth (radius R), is

A

5R

B

15R

C

3R

D

4R

Question 43: Palette 43/66

NEET 2012 MCQ

A spherical planet has a mass M_P and diameter D_P. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to

A

${{4G{M_P}} \over {D_P^2}}$

B

${{G{M_P}m} \over {D_P^2}}$

C

${{G{M_P}} \over {D_P^2}}$

D

${{4G{M_P}m} \over {D_P^2}}$

Question 44: Palette 44/66

NEET 2012 MCQ

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

${6 \over {\sqrt 2 }}$

Question 45: Palette 45/66

NEET 2011 MCQ

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}} $

Question 46: Palette 46/66

NEET 2011 MCQ

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

${{4GM} \over a}$

Question 47: Palette 47/66

NEET 2011 MCQ

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

Question 48: Palette 48/66

NEET 2010 MCQ

(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 ?

A

(4) and (1)

B

(1) and (2)

C

(2) and (3)

D

(3) and (4)

Question 49: Palette 49/66

NEET 2010 MCQ

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

A

(4)

B

(1)

C

(2)

D

(3)

Question 50: Palette 50/66

NEET 2010 MCQ

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 $\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$

Question 51: Palette 51/66

NEET 2010 MCQ

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

${{3V} \over 2}$

Question 52: Palette 52/66

NEET 2010 MCQ

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

${{4GM} \over a}$

Question 53: Palette 53/66

NEET 2010 MCQ

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

Question 54: Palette 54/66

NEET 2009 MCQ

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

Question 55: Palette 55/66

NEET 2007 MCQ

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.

Question 56: Palette 56/66

NEET 2006 MCQ

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

Question 57: Palette 57/66

NEET 2005 MCQ

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 $

Question 58: Palette 58/66

NEET 2005 MCQ

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

Question 59: Palette 59/66

NEET 2004 MCQ

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

Question 60: Palette 60/66

NEET 2003 MCQ

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

${{mgR} \over 2}$

Question 61: Palette 61/66

NEET 2003 MCQ

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

Question 62: Palette 62/66

NEET 2003 MCQ

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

Question 63: Palette 63/66

NEET 2001 MCQ

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

${\left( {{{4GM} \over R}} \right)^{1/2}}$

Question 64: Palette 64/66

NEET 2000 MCQ

Gravitational force is required for

A

stirring of liquid

B

convection

C

conduction

D

radiation.

Question 65: Palette 65/66

NEET 2000 MCQ

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

Question 66: Palette 66/66

NEET 2000 MCQ

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.