In a satellite if the time of revolution is `T`, then kinetic energy is proportional to

Options

A. `(1)/(T)`
B. `(1)/(T^(2))`
C. `(1)/(T^(3))`
D. `T^(-2//3)`

Answer

D

Explanation

Velocity of satellite ` v =sqrt((GM)/(r))`
`:. KE prop v^(2) prop (1)/(r) and T^(2) prop r^(3)`
`:. Ke prop T^(-2//3)`