Q JEE MAIN 2026

Three masses and 400 kg are placed at the vertices of an equilateral triangle with sides 20 m. They are...

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Q JEE MAIN 2026

Given below are two statements : Statement I: A satellite is moving around earth in the orbit very close to...

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Net gravitational force at the center of a square is found to be $F_1$ when four particles having mass M...

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The escape velocity from a spherical planet $A$ is $10 \mathrm{~km} / \mathrm{s}$. The escape velocity from another planet $B$...

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Q JEE MAIN 2026

Initially a satellite of 100 kg is in a circular orbit of radius $1.5 \mathrm{R}_{\mathrm{E}}$. This satellite can be moved...

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Q JEE MAIN 2020

The mass density of a spherical galaxy varies as $\frac{\mathrm{K}}{\mathrm{r}}$ over a large distance ' r ' from its centre....

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Q JEE MAIN 2019

A person of mass $M$ is, sitting on a swing of length $L$ and swinging with an angular amplitude $\theta_0$....

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Q JEE MAIN 2020

the height ‘h’ at which the weight of a body will be the same as that at the same depth...

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Q JEE-MAIN 2019

A satellite of mass M is in a circular orbit of radius R about the centre of the earth. A...

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Q JEE MAIN 2019

The energy required to take a satellite to a height ' $h$ ' above Earth surface (radius of Earth $...

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Q JEE MAIN_2019_

The value of acceleration due to gravity at Earth's surface is $9.8 \mathrm{~ms}^{-2}$. The altitude above its surface at which...

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Q JEE MAIN 2019

Two satellites, $A$ and $B$, have masses $m$ and $2 m$ respectively. $A$ is in a circular orbit of radius...

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Q JEE MAIN 2020

The value of the acceleration due to gravity is $\mathrm{g}_1$ at a height $h=\frac{R}{2}$ ( $R=$ radius of the earth)...

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Q JEE MAIN 2019

The ratio of the weights of a body on the Earth's surface to that on the surface of a planet...

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Q JEE MAIN 2020

Two planets have masses M and 16M and their radii are a and 2a, respectively. The separation between the centres...

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Q JEE MAIN 2020

A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite...

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Q JEE MAIN 2020

A body $A$ of mass $m$ is moving in a circular orbit of radius $R$ about a planet. Another body...

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A satellite is revolving in a circular orbit at a height h from the earth surface, such that h

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Q JEE-MAIN 2020

The acceleration due to gravity on the earth’s surface at the poles is g and angular velocity of the earth...

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Q JEE MAIN 2020

Consider two solid spheres of radii $R_1=1 m, R_2=2 m$ and masses $M_1$ and $M_2$, respectively. The gravitational field due...

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Q JEE Main 2019

A satellite is moving with a constant speed v in circular orbit around the earth. An object of mass ‘m’...

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A spaceship orbits around a planet at a height of 20 km from its surface. Assuming that only gravitational field...

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Q JEE MAIN 2020

On the x -axis and at a distance x from the origin, the gravitational field due to a mass distribution...

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A body is moving in a low circular orbit about a planet of mass M and radius R. The radius...

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Q JEE MAIN 2019

The energy required to take a satellite to a height ' $h$ ' above Earth surface (radius of Earth $...

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Q JEE MAIN 2019

A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a...

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Q JEE MAIN 2019

The mass and the diameter of a planet are three times the respective values for the Earth. The period of...

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Q JEE MAIN 2020

Planet $A$ has mass $M$ and radius $R$. Planet $B$ has half the mass and half the radius of Planet...

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Q JEE MAIN 2020

An asteroid is moving directly towards the centre of the earth. When at a distance of 10 R (R is...

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Q JEE MAIN 2020

A stellite of mass $m$ is launched vertically upwards with an initial speed $u$ from the surface of the earth....

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Q JEE MAIN 2019

A test particle is moving in a circular orbit in the gravitational field produced by a mass density $\rho(r)=\frac{K}{r^2}$. Identify...

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Q JEE MAIN 2019

Two stars of masses $3 \times 10^{31} \mathrm{~kg}$ each, and at distance $2 \times 10^{11} \mathrm{~m}$ rotate in a plane...

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Q JEE MAIN 2021

If $R_E$ be the radius of Earth, then the ratio between the acceleration due to gravity at a depth '...

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Q JEE MAIN 2021

If Re be the radius of Earth, then the ratio between the acceleration due to gravity at a depth '...

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The masses and radii of the earth and moon are ( $\mathrm{M} 1, \mathrm{R}_1$ ) and ( $\mathrm{M}_2, \mathrm{R}_2$ )...

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Q JEE-MAIN 2021

A mass of 50 kg is placed at the centre of a uniform spherical shell of mass 100 kg and...

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Q JEE MAIN 2019

Four identical particles of mass M are located at the corners of a square of side ‘a’. What should be...

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Q JEE MAIN 2021

Inside a uniform spherical shell : (a) the gravitational field is zero (b) the gravitational potential is zero (c) the...

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Q JEE MAIN 2021

The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital...

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Q JEE-MAIN 2021

Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are 1 hour...

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Q JEE MAIN 2021

Two identical particles of mass 1 kg each go round a circle of radius R, under the action of their...

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Q JEE-MAIN 2021

Four particles each of mass M, move along a circle of radius R under the action of their mutual gravitational...

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Q JEE MAIN 2021

Consider a planet in some solar system which has a mass double the mass of earth and density equal to...

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Q JEE MAIN 2021

Two identical particles of mass 1 kg each go round a circle of radius R, under the action of their...

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Q JEE MAIN 2021

A body is projected vertically upwards from the surface of earth with a velocity sufficient enough to carry it to...

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Q JEE MAIN 2021

Suppose two planets (spherical in shape) of radii $R$ and $2 R$, but mass $M$ and $9 M$ respectively have...

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Q JEE MAIN 2021

Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are 1 hour...

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Q JEE MAIN 2019

A rocket has to be launched from earth in such a way that it never returns. If E is the...

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Q JE MAIN 2021

Four particles each of mass M, move along a circle of radius R under the action of their mutual gravitational...

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Q JEE MAIN 2021

Consider a binary star system of star $A$ and star $B$ with masses $m_A$ and $m_B$ revolving in a circular...

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A satellite is launched into a circular orbit of radius R around earth, while a second satellite is launched into...

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Q JEE MAIN 2021

A particle of mass $m$ moves in a circular orbit under the central potential field, $U(r)=\frac{-C}{r}$, where C is a...

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Q JEE MAIN 2021

The angular momentum of a planet of mass M moving around the sun in an elliptical orbit is $\overrightarrow{\mathrm{L}}$. The...

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Q JEE MAIN 2021

If one wants to remove all the mass of the earth to infinity in order to break it up completely....

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Q JEE-MAIN 2021

A geostationary satellite is orbiting around an arbitary planet 'P' at a height of 11R above the surface of 'P'...

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The radius in kilometer to which the present radius of earth (R = 6400 km) to be compressed so that...

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Q JEE MAIN 2021

The time period of a satellite in a circular orbit of radius R is T. The period of another satellite...

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Q JEE MAIN 2021

The initial velocity $v_i$ required to project a body vertically upward from the surface of the earth to reach a...

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Q JEE MAIN 2021

In the reported figure of earth, the value of acceleration due to gravity is same at point A and C...

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Q JEE MAIN 2021

27 similar drops of mercury are maintained at 10 V each. All these spherical drops combine into a single big...

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Q JEE MAIN 2021

The maximum and minimum distances of a comet from the Sun are $1.6 \times 10^{12} \mathrm{~m}$ and $...

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Q JEE MAIN 2021

Consider two satellites $S_1$ and $S_2$ with periods of revolution 1 hr . and 8 hr . respectively revolving around...

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Q JEE MAIN 2021

Four identical particles of equal masses 1kg made to move along the circumference of a circle of radius 1 m...

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Q JEE MAIN 2021

A planet revolving in elliptical orbit has : (A)a constant velocity of revolution. (B) has the least velocity when it...

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Q JEE MAIN 2021

A particle is moving with uniform speed along the circumference of a circle of radius R under the action of...

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Q JEE MAIN 2021

Assume that a tunnel is dug along a chord of the earth, at a perpendicular distance (R/2) from the earth's...

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Q JEE MAIN 2021

Two stars of masses m and 2m at a distance d rotate about their common centre of mass in free...

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Q JEE MAIN 2021

Find the gravitational force of attraction between the ring and sphere as shown in the diagram, where the plane of...

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Q JEE MAIN 2021

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R....

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Q JEE MAIN 2021

A body weighs 49 N on a spring balance at the north pole. What will be its weight recorded on...

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Q JEE MAIN 2021

A solid sphere of radius $R$ gravitationally attracts a particle placed at $3 R$ form its centre with a force...

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Q JEE MAIN 2021

Two satellites A and B of masses 200 kg and 400 kg are revolving round the earth at height of...

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Q JEE MAIN 2022

An object is taken to a height above the surface of earth at a distance $\frac{5}{4} R$ from the centre...

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Q JEE MAIN 2022

The length of a seconds pendulum at a height h = 2R from earth surface will be: (Given: $R=$ Radius...

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Q JEE MAIN 2022

If the acceleration due to gravity experienced by a point mass at a height $h$ above the surface of earth...

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Q JEE MAIN 2022

An object of mass 1 kg is taken to a height from the surface of earth which is equal to...

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Q JEE MAIN 2022

A body of mass m is projected with velocity $\lambda V_e$ in vertically upward direction from the surface of the...

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Q JEE MAIN 2022

Assume there are two identical simple pendulum Clocks-1 is placed on the earth and Clock-2 is placed on a space...

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Q JEE MAIN 2022

A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape...

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Q JEE MAIN 2022

At a particular station, the TV transmission tower has a height of 100 m. To triple its coverage range, height...

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Q JEE MAIN 2022

The percentage decrease in the weight of a rocket, when taken to a height of 32 km above the surface...

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Q JEE MAIN 2022

Two satellites A and B having masses in the ratio 4 : 3 are revolving in circular orbits of radii...

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Q JEE MAIN 2022

Three identical particle A, B and C of mass 100 kg each are placed in a straight line with AB...

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Q JEE MAIN 2022

Two objects of equal masses placed at certain distance from each other attracts each other with a force of F....

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Q JEE MAIN 2022

The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of...

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Q JEE MAIN 2022

Two satellites $S_1$ and $S_2$ are revolving in circular orbits around a planet with radius $R_1=3200 \mathrm{~km}$ and $R_2=800 \mathrm{~km}$...

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Q JEE MAIN 2022

Four spheres each of mass m form a square of side d (as shown in figure). A fifth sphere of...

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Q JEE MAIN 2022

The distance of the Sun from earth is $1.5 \times 10^{11}$ m and its angular diameter is (2000) s when...

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The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes...

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Q JEE-MAIN 2022

The escape velocity of a body on a planet ' A ' is $12 \mathrm{kms}^{-1}$. The escape velocity of the...

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Q JEE MAIN 2022

The elongation of a wire on the surface of the earth is $10^{-4}$ m. The same wire of same dimensions...

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Q JEE MAIN 2022

Given below are two statements : Statement I : The law of gravitation holds good for any pair of bodies...

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Q JEE MAIN 2022

The approximate height from the surface of earth at which the weight of the body becomes $\frac{1}{3}$ of its weight...

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Q JEE MAIN 2022

The variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctly represented...

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Q JEE MAIN 2022

Two planets A and B of equal mass are having their period of revolutions $T_A$ and $T_B$ such that $...

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The height of any point P above the surface of earth is equal to diameter of earth. The value of...

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Q JEE-Main_2024

A planet takes 200 days to complete one revolution around the Sun. If the distance of the planet from Sun...

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Q JEE MAIN 2024

A light planet is revolving around a massive star in a circular orbit of radius R with a period of...

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The mass of the moon is 1 / 144 times the mass of a planet and its diameter $...

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Q JEE MAIN 2024

Escape velocity of a body from earth is 11.2" " km/s. If the radius of a planet be one-third the...

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Q JEE MAIN 2024

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R...

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Q JEE MAIN 2023

The weight of a body on the surface of the earth is 100 N. The gravitational force on it when...

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Q JEE MAIN 2023

Choose the incorrect statement from the following:

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Q JEE MAIN 2025

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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An object is kept at rest at a distance of 3R above the earth's surface where is earth's radius. The...

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Q JEE MAIN 2023

Given below are two statements : Statement I: For a planet, if the ratio of mass of the planet to...

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Q JEE MAIN 2023

Two planets A and B of radii R and 1.5 R have densities $\rho$ and $\rho / 2$ respectively. The...

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Q JEE MAIN 2023

Given below are two statements : Statement I : For a planet, if the ratio of mass of the planet...

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Q JEE MAIN 2023

A spaceship of mass $2 \times 10^4 \mathrm{~kg}$ is launched into a circular orbit close to the earth surface. The...

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Q JEE MAIN 2023

The time period of a satellite, revolving above earth’s surface at a height equal to R will be

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Q JEE MAIN 2023

Given below are two statements: Statement-I: Rotation of the earth shows effect on the value of acceleration due to gravity...

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Q JEE MAIN 2023

The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h...

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Q JEE MAIN 2023

If V is the gravitational potential due to sphere of uniform density on it’s surface, then it’s value at the...

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Every planet revolves around the sun in an elliptical orbit : A. The force acting on a planet is inversely...

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A body of mass is taken from earth surface to the height h equal to twice the radius of earth...

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The weight of a body at the surface of earth is 18 N. The weight of the body at an...

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Q JEE MAIN_2023

The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite...

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A body weight W, is projected vertically upwards from earth's surface to reach a height above the earth which is...

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Q JEE MAIN 2023

If the velocity of light c, universal gravitational constant G and planck's constant h are chosen as fundamental quantities. The...

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Q JEE MAIN 2023

The escape velocities of two planets $A$ and $B$ are in the ratio $1: 2$. If the ratio of their...

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Q JEE MAIN 2023

For a body projected at an angle with the horizontal from the ground, choose the correct statement. (1) Gravitational potential...

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

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Q JEE MAIN_2023

If the distance of the earth from Sun is 1.5 × $10^6$ km. Then the distance of an imaginary planet...

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Q JEE MAIN 2023

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Q JEE MAIN 2023

The ratio of escape velocity of a planet to the escape velocity of earth will be: Given: Mass of the...

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Q JEE MAIN 2023

A planet having mass 9 Me and radius $4 \mathrm{Re}_{\mathrm{e}}$, where Me and Re are mass and radius of earth...

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Q JEE MAIN 2023

Two satellites of masses m and 3m revolve around the earth in circular orbits of radii r & 3r respectively....

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Q JEE MAIN 2023

Two satellites A and B move round the earth in the same orbit. The mass of A is twice the...

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Q JEE MAIN 2023

Given below are two statements: Statement-I: If E be the total energy of a satellite moving around the earth, then...

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Q JEE MAIN 2023

Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth from...

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Q JEE MAIN 2023

A body is released from a height equal to the radius (R) of the earth. The velocity of the body...

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Q JEE MAIN 2023

The radii of two planets ‘A’ and ‘B’ are ‘R’ and ‘4R’ and their densities are $\rho$ and $...

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Q JEE MAIN 2023

Two identical particles each of mass ‘m’ go round a circle of radius a under the action of their mutual...

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Q JEE MAIN 2023

The weight of a body on the earth is 400 N. Then weight of the body when taken to a...

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Q JEE MAIN 2023

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R....

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A planet has double the mass of the earth. Its average density is equal to the that of the earth....

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If the gravitational field in the space is given as $\left(-\frac{\mathrm{K}}{\mathrm{r}^2}\right)$. Taking the reference point to be at $\mathrm{r}=2 \mathrm{~cm}$...

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If earth has a mass nine times and radius twice to the of a planet $P$. Then $\frac{v_e}{3} \sqrt{x} \mathrm{~ms}^{-1}$...

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Q JEE MAIN 2023

At a certain depth "d" below surface of earth, value of acceleration due to gravity becomes four times that of...

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Q JEE MAIN 2023

Two particles of equal mass ‘m’ move in a circle of radius ‘r’ under the action of their mutual gravitational...

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Q JEE MAIN_2023_S1_01.02.23

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

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Q JEE MAIN 2023

Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose...

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Q JEE MAINS 2024

Assume that the earth is a solid sphere of uniform density and a tunnel is dug along its diameter throughout...

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Q JEE MAINS 2024

Four identical particles of mass $m$ are kept at the four corners of a square. If the gravitational force exerted...

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Q JEE MAINS 2024

Four identical particles of mass $m$ are kept at the four corners of a square. If the gravitational force exerted...

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Q JEE MAIN

Two planets A and B having masses m1 and m2 move around the sun in circular orbits of $r_1$ and...

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Q JEE MAIN

To project a body of mass m from earth's surface to infinity, the required kinetic energy is (assume, the radius...

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Q JEE MAIN 2024

Match list-I with list-II: (Where a = radius of planet orbit, r = radius of planet, M = mass of...

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Q JEE MAIN 2024

In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in...

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Q JEE MAIN 2024

A metal wire of uniform mass density having length L and mass M is bent to form a semicircular arc...

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If R is the radius of the earth and the acceleration due to gravity on the surface of earth is...

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The gravitational potential at a point above the surface of earth is $-5.12 \times 10^7 \mathrm{~J} / \mathrm{kg}$ and the...

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Q JEE MAIN 2024

At what distance above and below the surface of the earth a body will have same weight, (take radius of...

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Q JEE MAIN 2025

A satellite of mass 1000 kg is launched to revolve around the earth in an orbit at a height of...

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Q JEE MAIN 2024

The acceleration due to gravity on the surface of earth is g. If the diameter of earth reduces to half...

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Q JEE MAIN 2025

Two planets, A and B are orbiting a common star in circular orbits of radii $R_{A}$ and $R_{B}$, respectively, with...

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Q JEE MAIN 2025

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion...

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Q JEE MAIN 2025

A particle is released from height S above the surface of the earth. At certain height its kinetic energy is...

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Q JEE MAIN 2025

Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth...

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Q JEE MAIN 2025

Acceleration due to gravity on the surface of earth is ' $g$ '. If the diameter of earth is reduced...

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Q JEE MAIN 2025

A satellite of mass $\frac{M}{2}$ is revolving around earth in a circular orbit at a height of $\frac{R}{3}$ from earth...

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Q JEE MAIN 2025

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason(R). Assertion...

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Q JEE MAIN 2025

A satellite is launched into a circular orbit of radius 'R' around the earth. A second satellite is launched into...

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Q JEE MAIN 2025

A positive ion A and a negative ion B has charges $6.67\times {{10}^{{-19}}}\text{C}$ and $9.6\times {{10}^{{-10}}}\text{C}$, and masses $19.2\times {{10}^{{-27}}}~\text{kg}$...

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Q JEE MAIN 2025

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...

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Q JEE MAIN 2025

A small point of mass $m$ is placed at a distance 2 R from the centre ' $O$ ' of...

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