Questions in Gravitation

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The ratio of the radii of planets A and B is ${k_1}$ and ratio of acceleration due to gravity on them is ${k_2}$. The ratio of escape velocities from them will be
A mass of $6 \times {10^{24}}kg$ is to be compressed in a sphere in such a way that the escape velocity from the sphere is $3 \times {10^8}m\,/s$. Radius of the sphere should be $(G = 6.67 \times {10^{ - 11}}N - {m^2}/k{g^2})$
The escape velocity of a body on an imaginary planet which is thrice the radius of the earth and double the mass of the earth is $({v_e}$ is the escape velocity of earth)
Escape velocity on the surface of earth is $11.2\,km/s$. Escape velocity from a planet whose mass is the same as that of earth and radius 1/4 that of earth is
The velocity with which a projectile must be fired so that it escapes earth’s gravitation does not depend on
The radius of a planet is $\frac{1}{4}$ of earth’s radius and its acceleration due to gravity is double that of earth’s acceleration due to gravity. How many times will the escape velocity at the planet’s surface be as compared to its value on earth’s surface
The escape velocity for the earth is ${v_e}$. The escape velocity for a planet whose radius is four times and density is nine times that of the earth, is
The escape velocity for a body projected vertically upwards from the surface of earth is 11 km/s. If the body is projected at an angle of 45o with the vertical, the escape velocity will be
If V, R and g denote respectively the escape velocity from the surface of the earth radius of the earth, and acceleration due to gravity, then the correct equation is
The escape velocity for a body of mass 1 kg from the earth surface is $11.2\,\,km{s^{ - 1}}.$ The escape velocity for a body of mass 100 kg would be

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