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. 0.15
B. 0.203
C. 0.667
D. 0.3333

Answer

D

Explanation

Binding energy of satellite is
CaseI `BE=(GMm)/(2r)`
where r is the radius of orbit
Case II `BE=(GMm)/(2xx3r/32)`
`therefore triangle E=(GMm)/(r )(1/2-1/3)=(GMm)/(6r)`
% increase in energy of a satellite
`=(GMm)/(6r)/(GMm)/(2r)xx100=2/6xx100=33.33%`