Gravitation PYQs - Last 10 Years

A body is projected vertically upwards from the surface of earth with a velocity ' $v$ ' to reach a height of $10 R$, where $R$ is the radius of the earth, then $v$ is

Two spheres of masses $M_1$ and $M_2$ are in air separated by a distance of d m . The gravitational force of attraction between them is $F$. If the space around the masses is filled with a liquid of density $\rho$, the force between the mas...

Two particles, one heavy and the other light, placed at 50 cm from each other, are under the influence of gravitational force of one another. If mass of the heavier particle is 4 kg and its acceleration under the influence of gravitational ...

Two neutral bodies of masses $m_1$ and $m_2$ are kept at a distance of $r \mathrm{~cm}$ from one another in a vacuum medium. A gravitational force Fracts between the two bodies. The entire set-up is then transferred, as it is, to a water me...

A planet is 121 times heavier than moon and has a diameter 9 times that of moon. If the escape velocity on the planet is $v$, then the escape velocity on the moon will be:

The radius of earth is $R$ and acceleration due to gravity on its surface is $g$. The height at which the acceleration due to gravity becomes $\frac{g}{8}$ is:

If the distance between the Sun and Earth is doubled, then the duration of the year on earth will be :
[Given actual duration of the year $=\mathbf{T}$ ]

The unit of universal gravitational constant is :

Two spherical planets P and Q have the same uniform density $\rho$, and masses Mp and $\mathrm{MQ}_{\mathrm{Q}}$ and surface areas A and 4 A respectively. Another spherical planet $R$ also has the same uniform density $\rho$, and its mass i...

The value of universal gravitational constant was first determined by

If the radius of earth were to shrink by two percent, its mass remaining the same, the acceleration due to gravity on the earth's surface would

If the earth has a mass nine times and radius four times that of planet X, the ratio of the maximum speed required by a rocket to pull out of the gravitational force of planet \(\mathrm{X}\) to that of the earth is

If \(\mathrm{A}\) is the areal velocity of a planet of mass \(\mathrm{M}\), then its angular momentum is

A satellite is revolving around the earth in a circular orbit with kinetic energy of \(1.69 \times 10^{10} \mathrm{~J}\). The additional kinetic energy required for just escaping into the outer space is

The acceleration due to gravity at pole and equator can be related as

Energy required for moving a body of mass \(\mathrm{m}\) from a circular orbit of radius 3R to a higher orbit of radius 4R around the earth is.

A planet has double the mass of the earth and double the radius. The gravitational potential at the surface of the Earth is \(\mathrm{V}\) and the magnitude of the gravitational field strength is \(\mathrm{g}\). The gravitational potential ...

An uniform sphere of mass \(M\) and radius \(R\) exerts a force of \(F\) on a small mass \(m\) placed at a distance of 3R from the centre of the sphere. A spherical portion of diameter \(R\) is cut from the sphere as shown in the fig. The f...

The acceleration due to gravity at a height of \(7 \mathrm{~km}\) above the earth is the same as at a depth d below the surface of the earth. Then d is

The height vertically above the earth's surface at which the acceleration due to gravity becomes \(1 \%\) of its value at the surface is

If escape velocity on earth surface is \(11.1 \mathrm{~kmh}^{-1}\), then find the escape velocity on moon surface. If mass of moon is \(\frac{1}{81}\) times of mass of earth and radius of moon is \(\frac{1}{4}\) times radius of earth.

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

The escape velocity of a projectile on the earth's surface is 11.2 km/s. A body is projected out with thrice this speed. The speed of the body far away from the earth will be

The height at which the acceleration due to gravity becomes \(\frac{g}{16}\) (where, g = acceleration due to gravity on the surface of the earth) in terms of R is, if R is the radius of earth.

If the earth were to spin faster, acceleration due to gravity at the poles

A constant potential energy of a satellite is given as
\(\mathrm{PE}=r(\mathrm{KE})\)
whee, PE = potential energy
and KE = kinetic energy.
The value of \(r\) will be

Kepler's second law of planetary motion corresponds to

Two spherical bodies of masses M and 5M and
radii R and 2R are released in free space with
initial separation between their centres equal to
12 R. If they attract each other due to
gravitational force only, then the distance
covered by the ...

A satellite can be in a geostationary orbit around a planet if it is at a distance R from the centre of the planet. If the planet starts rotating about its axis with double the angular velocity, then to make the satellite geostationary, its...