A satellite is moving on a circular path of radius r around earth has a time period T. if its radius slightly increases by `Deltar`, determine the change in its time period.

Options

A. `3/2(T/r)Deltar`
B. `(T/r)Deltar`
C. `3/2((T^(2))/(r^(2)))Deltar`
D. `3/2((T^(2))/r)Deltar`

Answer

A

Explanation

According to Kepler.s II law `T^(2) alpha R^(3)` differentiating on both sides w.r.t r
`(DeltaT)/T=3/2((Deltar)/r)`