A body is taken to a height of nR from the surface of the earth . The ratio of acceleration due to gravity on the surface to that at the altitude is

Options

A. `(n +1)^(2)`
B. `(n+1)^(-2)`
C. `(n+1)^(-1)`
D. `(n +1)`

Answer

A

Explanation

Acceleration due to gravity at a height h above the earth surface g' = g`((R)/( R + h))^(2)`
`(g)/(g') = ((R+h)/(R))^(2)`
`(g)/(g') = ((R+nR)/(R))^(2)`
`(g)/(g') = (1 + n)^(2)`