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Gravitation — JEE Main & Advanced Physics PYQs

550 previous year questions from Gravitation with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

550 questionsPhysicsSolutions on every page
1

A particle of mass m , and angular momentum is moving in a circular orbit of radius r₀ under the influence of an attractive force F (r) = - k r^2 r . Keeping its angular momentum u

JEE Advanced 2026 Solution View → 2

A body of mass m is taken from the surface of earth to a height equal to twice the radius of earth ( R_e ). The increase in potential energy will be _______. ( g is acceleration du

JEE Main 2026 Solution View → 3

When one moves from a point 16 km below the earth's surface to a point 16 km above the earth's surface. The change in g is approximately %. The value of is _____. (Take radius of t

JEE Main 2026 Solution View → 4

The height in terms of radius of the earth (R) , at which the acceleration due to gravity becomes g 9 , where g is acceleration due to gravity on earth's surface, is ______.

JEE Main 2026 Solution View → 5

If a body of mass 1 kg falls on the earth from infinity, it attains velocity (v) and kinetic energy (k) on reaching the surface of earth. The values of v and k respectively are ___

JEE Main 2026 Solution View → 6

A planet (P₁) is moving around the star of mass 2M in the orbit of radius R . Another planet (P₂) is moving around another star of mass 4M in a orbit of radius 2R . Ratio of time p

JEE Main 2026 Solution View → 7

Three masses 200 ~kg , 300 ~kg and 400 kg are placed at the vertices of an equilateral triangle with sides 20 m. They are rearranged on the vertices of a bigger triangle of side 25

JEE Main 2026 Solution View → 8

Given below are two statements: Statement I : A satellite is moving around earth in the orbit very close to the earth surface. The time period of revolution of satellite depends up

JEE Main 2026 Solution View → 9

The escape velocity from a spherical planet A is 10 ~km / s . The escape velocity from another planet B whose density and radius are 10 % of those of planet A , is _ _ _ _ m / s .

JEE Main 2026 Solution View → 10

Net gravitational force at the center of a square is found to be F₁ when four particles having mass M, 2 M, 3 M and 4 M are placed at the four corners of the square as shown in fig

JEE Main 2026 Solution View → 11

Initially a satellite of 100 kg is in a circular orbit of radius 1.5 R _ E . This satellite can be moved to a circular orbit of radius 3 R_ E by supplying 10⁶ ~J of energy. The val

JEE Main 2026 Solution View → 12

Consider a star of mass m₂ ~kg revolving in a circular orbit around another star of mass m₁ ~kg with m₁ m₂ . The heavier star slowly acquires mass from the lighter star at a consta

JEE Advanced 2025 Solution View → 13

A geostationary satellite above the equator is orbiting around the earth at a fixed distance r₁ from the center of the earth. A second satellite is orbiting in the equatorial plane

JEE Advanced 2025 Solution View → 14

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The radius vector from the Sun to a planet sweeps out equa

JEE Main 2025 Solution View → 15

An object is kept at rest at a distance of 3 R above the earth's surface where R is earth's radius. The minimum speed with which it must be projected so that it does not return to

JEE Main 2025 Solution View → 16

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : The kinetic energy needed to project a body of mass m from earth

JEE Main 2025 Solution View → 17

Three identical spheres of mass m , are placed at the vertices of an equilateral triangle of length a. When released, they interact only through gravitational force and collide aft

JEE Main 2025 Solution View → 18

A satellite of mass 1000 kg is launched to revolve around the earth in an orbit at a height of 270 km from the earth's surface. Kinetic energy of the satellite in this orbit is ___

JEE Main 2025 Solution View → 19

Two planets, A and B are orbiting a common star in circular orbits of radii R_A and R_B , respectively, with R_B=2 R_A . The planet B is 4 2 times more massive than planet A . The

JEE Main 2025 Solution View → 20

Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth is 11.2 ~km / s , the escape velocity in km / s from the planet will be :

JEE Main 2025 Solution View → 21

Acceleration due to gravity on the surface of earth is ' g '. If the diameter of earth is reduced to one third of its original value and mass remains unchanged, then the accelerati

JEE Main 2025 Solution View → 22

A satellite is launched into a circular orbit of radius ' R ' around the earth. A second satellite is launched into an orbit of radius 1.03 R . The time period of revolution of the

JEE Main 2025 Solution View → 23

If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time period of rotation of the satellite? Given rotational time period of Moon =27 days

JEE Main 2025 Solution View → 24

A satellite of mass M 2 is revolving around earth in a circular orbit at a height of R 3 from earth surface. The angular momentum of the satellite is M G M R x . The value of x is

JEE Main 2025 Solution View → 25

A small point of mass m is placed at a distance 2 R from the centre ' O^ of a big uniform solid sphere of mass M and radius R . The gravitational force on ' m ' due to M is F ₁ . A

JEE Main 2025 Solution View → 26

A particle of mass m is under the influence of the gravitational field of a body of mass M( m) . The particle is moving in a circular orbit of radius r₀ with time period T₀ around

JEE Advanced 2024 Solution View → 27

A satellite of 10^3 ~kg mass is revolving in circular orbit of radius 2 R . If 10^4 R 6 J energy is supplied to the satellite, it would revolve in a new circular orbit of radius (u

JEE Main 2024 Solution View → 28

An astronaut takes a ball of mass m from earth to space. He throws the ball into a circular orbit about earth at an altitude of 318.5 ~km . From earth's surface to the orbit, the c

JEE Main 2024 Solution View → 29

Two satellite A and B go round a planet in circular orbits having radii 4 R and R respectively. If the speed of A is 3 v , the speed of B will be :

JEE Main 2024 Solution View → 30

Two planets A and B having masses m₁ and m₂ move around the sun in circular orbits of r₁ and r₂ radii respectively. If angular momentum of A is L and that of B is 3 ~L , the ratio

JEE Main 2024 Solution View → 31

Assuming the earth to be a sphere of uniform mass density, a body weighed 300 ~N on the surface of earth. How much it would weigh at R/4 depth under surface of earth ?

JEE Main 2024 Solution View → 32

To project a body of mass m from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is R_E, g= acceleration due to gravity on the surface of e

JEE Main 2024 Solution View → 33

A satellite revolving around a planet in stationary orbit has time period 6 hours. The mass of planet is one-fourth the mass of earth. The radius orbit of planet is : ( . Given = R

JEE Main 2024 Solution View → 34

A simple pendulum doing small oscillations at a place R height above earth surface has time period of T₁=4 ~s . T₂ would be it's time period if it is brought to a point which is at

JEE Main 2024 Solution View → 35

In hydrogen like system the ratio of coul0mbian force and gravitational force between an electron and a proton is in the order of :

JEE Main 2024 Solution View → 36

Match List I with List II :

JEE Main 2024 Solution View → 37

A 90 ~kg body placed at 2 R distance from surface of earth experiences gravitational pull of : ( R = Radius of earth, g =10 ~m ~s ⁻² )

JEE Main 2024 Solution View → 38

Correct formula for height of a satellite from earths surface is:

JEE Main 2024 Solution View → 39

A metal wire of uniform mass density having length L and mass M is bent to form a semicircular arc and a particle of mass m is placed at the centre of the arc. The gravitational fo

JEE Main 2024 Solution View → 40

A light planet is revolving around a massive star in a circular orbit of radius R with a period of revolution T . If the force of attraction between planet and star is proportional

JEE Main 2024 Solution View → 41

If R is the radius of the earth and the acceleration due to gravity on the surface of earth is g = π 2 m s - 2 , then the length of the second's pendulum at a height h = 2 R from t

JEE Main 2024 Solution View → 42

The mass of the moon is 1 144 times the mass of a planet and its diameter 1 16 times the diameter of a planet. If the escape velocity on the planet is v, the escape velocity on the

JEE Main 2024 Solution View → 43

Four identical particles of mass m are kept at the four corners of a square. If the gravitational force exerted on one of the masses by the other masses is 2 2 + 1 32 G m 2 L 2 , t

JEE Main 2024 Solution View → 44

Escape velocity of a body from earth is 11 . 2 km s - 1 . If the radius of a planet be one-third the radius of earth and mass be one-sixth that of earth, the escape velocity from t

JEE Main 2024 Solution View → 45

The gravitational potential at a point above the surface of earth is - 5 . 12 × 10 7 J kg - 1 and the acceleration due to gravity at that point is 6 . 4 m s - 2 . Assume that the m

JEE Main 2024 Solution View → 46

A planet takes 200 days to complete one revolution around the Sun. If the distance of the planet from Sun is reduced to one fourth of the original distance, how many days will it t

JEE Main 2024 Solution View → 47

At what distance above and below the surface of the earth a body will have same weight? (Take radius of earth as R )

JEE Main 2024 Solution View → 48

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) . Assertion (A) : The angular speed of the moon in its orbit about the ear

JEE Main 2024 Solution View → 49

The acceleration due to gravity on the surface of earth is g . If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gr

JEE Main 2024 Solution View → 50

Two satellites P and Q are moving in different circular orbits around the Earth(radius R ). The heights of P and Q from the Earth surface are h P and h Q , respectively, where h P

JEE Advanced 2023 Solution View → 51

Two identical particles each of mass m go round a circle of radius a under the action of their mutual gravitational attraction. The angular speed of each particle will be :

JEE Main 2023 Solution View → 52

Two planets A and B of radii R and 1 . 5 R have densities ρ and ρ 2 respectively. The ratio of acceleration due to gravity at the surface of B to A is:

JEE Main 2023 Solution View → 53

Given below are two statements: Statement I : For a planet, if the ratio of mass of the planet to its radius increase, the escape velocity from the planet also increase. Statement

JEE Main 2023 Solution View → 54

A planet having mass 9 M e and radius 4 R e , where M e and R e are mass and radius of earth respectively, has escape velocity in km s - 1 given by: (Given escape velocity on earth

JEE Main 2023 Solution View → 55

Two satellites A and B move round the earth in the same orbit. The mass of A is twice the mass of B . The quantity which is same for the two satellites will be

JEE Main 2023 Solution View → 56

The ratio of escape velocity of a planet to the escape velocity of earth will be:- Given: Mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radiu

JEE Main 2023 Solution View → 57

A space ship of mass 2 × 10 4 kg is launched into a circular orbit close to the earth surface. The additional velocity to be imparted to the space ship in the orbit to overcom

JEE Main 2023 Solution View → 58

The radii of two planets A and B are R and 4 R and their densities are ρ and ρ 3 respectively. The ratio of acceleration due to gravity at their surfaces g A : g B will b

JEE Main 2023 Solution View → 59

Given below are two statements: Statement I : Rotation of the earth shows effect on the value of acceleration due to gravity ( g ) . Statement II : The effect of rotation of the ea

JEE Main 2023 Solution View → 60

The time period of a satellite, revolving above earth's surface at a height equal to R will be (Given g = π 2 m s - 2 , R = radius of earth)

JEE Main 2023 Solution View → 61

Two satellites of masses m and 3 m revolve around the earth in circular orbits of radii r & 3 r respectively. The ratio of orbital speeds of the satellites respectively is

JEE Main 2023 Solution View → 62

Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth d = R 2 from the surface of earth, if its weight on the surface of earth is 200 N , will

JEE Main 2023 Solution View → 63

If the earth suddenly shrinks to 1 64 th of its original volume with its mass remaining the same, the period of rotation of earth becomes 24 x h . The value of x is ________

JEE Main 2023 Solution View → 64

The orbital angular momentum of a satellite is L , when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth centre is in

JEE Main 2023 Solution View → 65

The acceleration due to gravity at height h above the earth if h ≪ R (Radius of earth) is given by

JEE Main 2023 Solution View → 66

Given below are two statements: Statement I: If E be the total energy of a satellite moving around the earth, then its potential energy will be E 2 . Statement II: The kinetic ener

JEE Main 2023 Solution View → 67

The weight of a body on the earth is 400 N . Then weight of the body when taken to a depth half of the radius of the earth will be:

JEE Main 2023 Solution View → 68

The weight of a body on the surface of the earth is 100 N . The gravitational force on it when taken at a height, from the surface of earth, equal to one-fourth the radius of the e

JEE Main 2023 Solution View → 69

Choose the incorrect statement from the following:

JEE Main 2023 Solution View → 70

A planet has double the mass of the earth. Its average density is equal to that of the earth. An object weighing W on earth will weigh on that planet:

JEE Main 2023 Solution View → 71

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R . Assertion A: Earth has atmosphere whereas moon doesn’t have any atmosph

JEE Main 2023 Solution View → 72

The escape velocities of two planets A a n d B are in the ratio 1 : 2 . If the ratio of their radii respectively is 1 : 3 , then the ratio of acceleration due to gravity of planet

JEE Main 2023 Solution View → 73

For a body projected at an angle with the horizontal from the ground, choose the correct statement

JEE Main 2023 Solution View → 74

If earth has a mass nine times and radius twice to the of a planet P . Then v e 3 x m s - 1 will be the minimum velocity required by a rocket to pull out of gravitational force of

JEE Main 2023 Solution View → 75

Given below are two statements : Statement-I: Acceleration due to gravity is different at different places on the surface of earth. Statement-II: Acceleration due to gravity increa

JEE Main 2023 Solution View → 76

A body weight W , is projected vertically upwards from earth's surface to reach a height above the earth which is equal to nine times the radius of earth. The weight of the bod

JEE Main 2023 Solution View → 77

At a certain depth d below surface of earth, value of acceleration due to gravity becomes four times that of its value at a height 3 R above earth surface. Where R is Radius of ear

JEE Main 2023 Solution View → 78

Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose the correct statement out of the following Assume negligible

JEE Main 2023 Solution View → 79

If the gravitational field in the space is given as - K r 2 . Taking the reference point to be at r = 2 cm with gravitational potential V = 10 J kg - 1 . Find the gravitational pot

JEE Main 2023 Solution View → 80

The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time perio

JEE Main 2023 Solution View → 81

Two particles of equal mass m move in a circle of radius r under the action of their mutual gravitational attraction. The speed of each particle will be :

JEE Main 2023 Solution View → 82

A body of mass is taken from earth surface to the height h equal to twice the radius of earth ( R e ) , the increase in potential energy will be : ( g = acceleration due to gravity

JEE Main 2023 Solution View → 83

Every planet revolves around the sun in an elliptical orbit : A. The force acting on a planet is inversely proportional to square of distance from sun. B. Force acting on planet is

JEE Main 2023 Solution View → 84

Assume that the earth is a solid sphere of uniform density and a tunnel is dug along its diameter throughout the earth. It is found that when a particle is released in this tunnel,

JEE Main 2023 Solution View → 85

T is the time period of simple pendulum on the earth's surface. Its time period becomes x T when taken to a height R (equal to earth's radius) above the earth's surface

JEE Main 2023 Solution View → 86

Given below are two statements: Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface. Statement II: Acce

JEE Main 2023 Solution View → 87

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : A pendulum clock when taken to Mount Everest becomes fast. Reason

JEE Main 2023 Solution View → 88

If the distance of the earth from Sun is 1 . 5 × 10 6 km , then the distance of an imaginary planet from Sun, if its period of revolution is 2 . 83 years is:

JEE Main 2023 Solution View → 89

The weight of a body at the surface of earth is 18 N . The weight of the body at an altitude of 3200 km above the earth's surface is (given, radius of earth R e = 6400 km )

JEE Main 2023 Solution View → 90

Two spherical stars A and B have densities ρ A and ρ B , respectively. A and B have the same radius, and their masses M A and M B are related by M B = 2 M A . Due to an i

JEE Advanced 2022 Solution View → 91

An object of mass 1 kg is taken to a height from the surface of earth which is equal to three times the radius of earth. The gain in potential energy of the object will be [If, g =

JEE Main 2022 Solution View → 92

If the acceleration due to gravity experienced by a point mass at a height h above the surface of earth is same as that of the acceleration due to gravity at a depth α h h &#8

JEE Main 2022 Solution View → 93

Assume there are two identical simple pendulum Clocks- 1 is placed on the earth and Clock- 2 is placed on a space station located at a height h above the earth surface. Clock- 1 an

JEE Main 2022 Solution View → 94

If the radius of earth shrinks by 2 % while its mass remains same. The acceleration due to gravity on the earth's surface will approximately

JEE Main 2022 Solution View → 95

A body of mass m is projected with velocity λ v e in vertically upward direction from the surface of the earth into space. It is given that v e is escape velocity and λ &

JEE Main 2022 Solution View → 96

Two satellites A and B having masses in the ratio 4 : 3 are revolving in circular orbits of radii 3 r and 4 r respectively around the earth. The ratio of total mechanical energy of

JEE Main 2022 Solution View → 97

A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be (Take radius

JEE Main 2022 Solution View → 98

The percentage decrease in the weight of a rocket, when taken to a height of 32 km above the surface of earth will, be (Radius of earth = 6400 km )

JEE Main 2022 Solution View → 99

The length of a seconds pendulum at a height h = 2 R from earth surface will be: (Given: R = Radius of earth and acceleration due to gravity at the surface of earth g = π 2 m

JEE Main 2022 Solution View → 100

An object is taken to a height above the surface of earth at a distance 5 4 R from the centre of the earth. Where radius of earth, R = 6400 km . The percentage decrease in the weig

JEE Main 2022 Solution View → 101

Three identical particle A , B and C of mass 100 kg each are placed in a straight line with A B = B C = 13 m . The gravitational force on a fourth particle P of the same mass is F

JEE Main 2022 Solution View → 102

The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased to three times its previous value, then approximate new time

JEE Main 2022 Solution View → 103

The escape velocity of a body on a planet A is 12 km s - 1 . The escape velocity of the body on another planet B , whose density is four times and radius is half of the planet A ,

JEE Main 2022 Solution View → 104

Two objects of equal masses placed at certain distance from each other attracts each other with a force of F . If one-third mass of one object is transferred to the other object, t

JEE Main 2022 Solution View → 105

Two planets A and B of equal mass are having their period of revolutions T A and T B such that T A = 2 T B . These planets are revolving in the circular orbits of radii r A and r B

JEE Main 2022 Solution View → 106

Four spheres each of mass m form a square of side d (as shown in figure). A fifth sphere of mass M is situated at the centre of square. The total gravitational potential energy of

JEE Main 2022 Solution View → 107

Statement I : The law of gravitation holds good for any pair of bodies in the universe. Statement II : The weight of any person becomes zero when the person is at the centre of the

JEE Main 2022 Solution View → 108

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If we move from poles to equator, the direction of acceleration d

JEE Main 2022 Solution View → 109

The variation of acceleration due to gravity g with distance r from the center of the earth is correctly represented by (Given R = radius of earth)

JEE Main 2022 Solution View → 110

The elongation of a wire on the surface of the earth is 10 - 4 m . The same wire of same dimensions is elongated by 6 × 10 - 5 m on another planet. The acceleration due to gra

JEE Main 2022 Solution View → 111

Two satellites S 1 and S 2 are revolving in circular orbits around a planet with radius R I = 3200   km and R 2 = 800   km respectively. The ratio of speed of satellite S

JEE Main 2022 Solution View → 112

The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point P will be : (Given g = acceleration due to gra

JEE Main 2022 Solution View → 113

The distance between Sun and Earth is R . The duration of year if the distance between Sun and Earth becomes 3 R will be :

JEE Main 2022 Solution View → 114

The approximate height from the surface of earth at which the weight of the body becomes 1 3 of its weight on the surface of earth is : [Radius of earth R = 6400 km and 3 = 1 . 732

JEE Main 2022 Solution View → 115

The distance between two stars of masses 3 M S and 6 M S is 9 R . Here R is the mean distance between the centres of the Earth and the Sun, and M S is the mass of the Sun. Two star

JEE Advanced 2021 Solution View → 116

Four particles each of mass M , move along a circle of radius R under the action of their mutual gravitational attraction as shown in figure. The speed of each particle is :

JEE Main 2021 Solution View → 117

When a body slides down from rest along a smooth inclined plane making an angle of 30 ° with the horizontal, it takes time T . When the same body slides down from the rest alo

JEE Main 2021 Solution View → 118

If R E be the radius of Earth, then the ratio between the acceleration due to gravity at a depth r below and a height r above the earth surface is: (Given : r < R E )

JEE Main 2021 Solution View → 119

The masses and radii of the earth and moon are M 1 , R 1 and M 2 , R 2 respectively. Their centres are at a distance r apart. Find the minimum escape velocity for a particle of mas

JEE Main 2021 Solution View → 120

A mass of 50 kg is placed at the center of a uniform spherical shell of mass 100 kg and radius 50 m . If the gravitational potential at a point, 25 m from the center is V kg m - 1

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