Energy of a satellite in circular orbit is `E_(0)`. The energy required to move the satellite to a circular orbit of 3 times the radius of the initial orbit is

Options

A. `(2)/(3)E_(0)`
B. `2E_(0)`
C. `(E_(0))/(3)`
D. `(3)/(2)E_(0)`

Answer

A

Explanation

`E_(i)-E_(0)=-(GMm)/(2r) or E_(f)=-(GMm)/(2(3r))=-(GMm)/(6r)`
`:. W=E_(f)-E_(j)=-(GMm)/(3r)=(2)/(2)E_(0)`.