What will be gain in potential energy of a body of mass m at a height equal to three times the radius 'R' of the earth ?

Options

A. `1//5`
B. `1//3`
C. `3//5`
D. `2//3`

Answer

C

Explanation

W=Upthrust
or `(m_(1)+m_(2))g=[(m_(1)//0.5xxrho_(w))+(m_(2)//2.5xxrho_(w))]rho_(w)g`
or `m_(1)+m_(2)=2m_(1)+0.4 m_(2)`
or `m_(1)=0.6 m_(2)`
`therefore " " (m_(1))/(m_(2))=0.6=(3)/(5)`