Two satellites `M` and `N` go around the earth in circular orbits at heights of `R_(M)` and `R_(N)` respectively from the surrface of the earth. Assuming the earth to be a uniform sphere of radius `R_(E)`, the ratio of velocities of the satellites `(V_(M))/(V_(N))` is

Options

A. `((R_(M))/(R_(N)))^(2)`
B. `sqrt((R_(N)+R_(E))/(R_(M)+R_(E)))`
C. `(R_(N)+R_(E))/(R_(M)+R_(E))`
D. `sqrt(R_(N)/(R_(M))`

Answer

B

Explanation

`V_(0)=sqrt((GM)/(R+h))rArr V_(0)prop1/(sqrt(R+h))`