List of top Physics Questions on Gravitation asked in Haryana PMT

Gravitational field is

The earth is assumed to be a sphere of radius $R$. A platform is arranged at a height $R$ from the surface of the earth. The escape velocity of a body from this platform is $fv$, where $v$ is its escape velocity from the surface of the Earth. The value of $f$ is :-

If both the mass and radius of earth decrease by $1\%$, the value of (I) acceleration due to gravity would increase by $1\%$ (II) acceleration due to gravity would decrease by $1\%$ (III) escape velocity from earth's surface would decrease by $1 \%$ (IV) the gravitational potential energy of a body on earth's surface will remain unchanged