If the gravitational potential at the earth's surface is de What is the gravitational potential at a height from earth's surface equal to its radius?

Options

A. `phi_e/2`
B. `phi_e`
C. `phi_e/4`
D. `phi_e/3`

Answer

A

Explanation

`implies` Gravitational potential at distance r from the centre of earth .
`phi = -(Gme)/r` - Gme is constant
`:. Phi =1/r`
`:. Phi_2/phi_1 =r_1/r_2` here `r_1 = R_e and phi_1 = phi_e and r_2 = 2R_e`
`:.phi_2 = phi_e xx (R_e)/(2Re) = (phi_e)/2`