The satellite of mass m revolving in a circular orbit of radius r around the earth has kinetic energy E. then, its angular momentum will be

Options

A. `sqrt((E)/(mr^2))`
B. `(E)/(2mr^2)`
C. `sqrt(2Emr^2)`
D. `sqrt(2Emr)`

Answer

C

Explanation

`E=1/2mv_0^2=1/2((mv_0r)^2)/(mr^2)=1/2(L^2)/(mr^2)`
`L=sqrt(2Emr^2)`