Gravitation PYQs - Last 5 Years

A satellite of mass \(\mathrm{m}\) rotates round the earth in a circular orbit of radius R. If the angular momentum of the satellite is J, then its kinetic energy \((\mathrm{K})\) and the total energy (E) of the satellite are

An earth's satellite near the surface of the earth takes about 90 min per revolution. A satellite orbiting the moon also takes about \(90 \mathrm{~min}\) per revolution. Then which of the following is true?
[where \(\rho_{\mathrm{m}}\) is d...

Acceleration due to gravity at a height H from the surface of a planet is the same as that at a depth of H below the surface. If R be the radius of the planet, then H vs. R graph for different planets will be,

A body of mass m is thrown vertically upward with speed \(\sqrt3\) ve, where ve is the escape velocity of a body from earth surface. The final velocity of the body is

An ideal gas of molar mass M is contained in a very tall vertical cylindrical column in the uniform gravitational field. Assuming the gas temperature to be T, the height at which the centre of gravity of the gas is located is (R\(\to\)unive...