Gravitation

10 JEE Main questions · Physics

Potential energy, potential, escape, satellites

PhysicsJEE Main 21 Jan 2026, Shift 1·Q19·MCQ·Easy–moderate
Open
Initially a satellite of 100 kg is in a circular orbit of radius $1.5R_E$ . This satellite can be moved to a circular orbit of radius $3R_E$ by supplying $\alpha\times10^{6}$ J of energy. The value of $\alpha$ is . (Take Radius of Earth $R_E = 6\times10^{6}$ m and $g = 10\ \mathrm{m/s^2}$ )
1. (1)150
2. (2)500
3. (3)100
4. (4)1000
PhysicsJEE Main 22 Jan 2026, Shift 1·Q5·MCQ·Easy–moderate
Open
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.
1. (1)1000
2. (2) $200\sqrt5$
3. (3) $100\sqrt{10}$
4. (4) $1000\sqrt2$
PhysicsJEE Main 22 Jan 2026, Shift 2·Q14·MCQ·Easy–moderate
Open
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 upon the density of earth.
Statement II : The time period of revolution of the satellite is $T = 2\pi\sqrt{\dfrac{R_e}{g}}$ (for satellite very close to the earth surface), where $R_e$ radius of earth and $g$ acceleration due to gravity.
In the light of the above statements, choose the correct answer from the options given below :
1. (1)Both Statement I and Statement II are false
2. (2)Both Statement I and Statement II are true
3. (3)Statement I is true but Statement II is false
4. (4)Statement I is false but Statement II is true
PhysicsJEE Main 24 Jan 2026, Shift 1·Q20·MCQ·Easy–moderate
Open
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 m and with the same centre. The work done in this process is J.
(Gravitational constant $G = 6.7\times10^{-11}\ \mathrm{N\,m^2/kg^2}$ )
1. (1) $9.86\times10^{-6}$
2. (2) $2.85\times10^{-7}$
3. (3) $1.74\times10^{-7}$
4. (4) $4.77\times10^{-7}$
We corrected a printing error in the original paper
Source printed “The work done in this process ___ J” (“is” missing).
PhysicsJEE Main 2 Apr 2026, Shift 2·Q6·MCQ·Easy–moderate
Open
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 . (Take radius of earth to be 6400 km and $g = 9.8\ \mathrm{m/s^2}$ )
1. (1)11.2 km/s; $6.27\times10^{7}$ J
2. (2)11.2 km/s; $12.54\times10^{7}$ J
3. (3)8.8 km/s; $6.27\times10^{7}$ J
4. (4)8.8 km/s; $12.54\times10^{7}$ J
PhysicsJEE Main 5 Apr 2026, Shift 2·Q7·MCQ·Easy–moderate
Open
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 due to gravity at the surface of earth)
1. (1) $\dfrac12 mgR_e$
2. (2) $\dfrac34 mgR_e$
3. (3) $\dfrac14 mgR_e$
4. (4) $\dfrac23 mgR_e$

Acceleration due to gravity

PhysicsJEE Main 4 Apr 2026, Shift 2·Q5·MCQ·Easy–moderate
Open
The height in terms of radius of the earth ( $R$ ), at which the acceleration due to gravity becomes $\dfrac{g}{9}$ , where $g$ is acceleration due to gravity on earth's surface, is .
1. (1) $\sqrt3 R$
2. (2) $2\sqrt2 R$
3. (3) $2R$
4. (4) $\dfrac49 R$
PhysicsJEE Main 5 Apr 2026, Shift 1·Q3·MCQ·Easy–moderate
Open
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 $\alpha$ %. The value of $\alpha$ is . (Take radius of the earth $= 6400$ km.)
1. (1)0.12
2. (2)0.25
3. (3)0.50
4. (4)0.75

Law of gravitation

PhysicsJEE Main 22 Jan 2026, Shift 1·Q10·MCQ·Moderate
Open
Net gravitational force at the centre of a square is found to be $F_1$ when four particles having mass $M$ , $2M$ , $3M$ and $4M$ are placed at the four corners of the square as shown in figure and it is $F_2$ when the positions of $3M$ and $4M$ are interchanged. The ratio $\dfrac{F_1}{F_2}$ is $\dfrac{\alpha}{\sqrt5}$ . The value of $\alpha$ is .
1. (1)2
2. (2)3
3. (3)1
4. (4) $2\sqrt5$
PhysicsJEE Main 2 Apr 2026, Shift 1·Q5·MCQ·Easy–moderate
Open
A planet ( $P_1$ ) is moving around the star of mass $2M$ in the orbit of radius $R$ . Another planet ( $P_2$ ) is moving around another star of mass $4M$ in an orbit of radius $2R$ . Ratio of time periods of revolution of $P_2$ and $P_1$ is .
1. (1) $\dfrac12$
2. (2)2
3. (3)4
4. (4) $\dfrac14$
We corrected a printing error in the original paper
Source printed “in a orbit”.