An artificial satellite moving in circular orbit around the earth has total (kinetic + potential) energy `E_(0)`. Its potential energy and kinetic energy respectively are :

Options

A. `E_0`
B. `1.5 E_0`
C. `2E_0`
D. `E_0`

Answer

C

Explanation

For a satellite,
Kinetic energy ` = (GmM)/(2R) ,` Potential energy = ` - (GmM)/( R)`
Total energy , `E_0 = KE + PE = (GmM)/(2R) - (GmM)/( R) = - (GmM)/(2R) = (PE)/(2)`
or `PE = 2E_0`