By what percent the energy of the satellite has to be increased to shift it from an orbit of radius `r` to `(3r)/2`.

Options

A. ` 66.7%`
B. `33.3%`
C. `75%`
D. `20.3%`

Answer

B

Explanation

`E_(1)=-(GMm)/(2r)`
`E_(2)=-(GMm)/(2xx(3)/(2)xxr)=-(GMm)/(3r)`
`%` increase in energy =-`((GMm)/(3r)+(GMm)/(2r))/(-(GMm)/(2r))xx100`
`" " ((GMm)/(6r))/((-GMm)/(2r))=(100)/(3)%`
`" " 33.33 %`