If the gravitational potential energy of a body on a planet is numerically equal to . U and the escape velocity of the same body is `V_(e')` then

Options

A. `(U)/(V_(e))=m sqrt((GM)/(2R))`
B. `(U)/V^(e)=(mGM)/( R)`
C. `(U)/(V_(e))=m sqrt((GM)/(2R))`
D. `(U)/(V_(e))=m sqrt((2R)/(GM))`

Answer

C

Explanation

`U=(GMm)/(R )` and `V_(e)=sqrt((2GM)/(R ))`