If `g_e, g_h` and `g_d` be the acceleration due to gravity at earth’s surface, a height h and at depth d respectively . Then:

Options

A. `g_0 lt g_h " and " g_0 gt g_d`
B. `g_0 lt g_h " and " g_0 lt g_d`
C. `g_0 gt g_h " and " g_0 gt g_d`
D. `g_0 lt g_h " and " g_0 gt g_d`

Answer

C

Explanation

`g_0 = (GM)/(R^2) = g, g_h = g (1 - (2h)/( R)) " and " g_d = g (1 - d/R)`
`therefore g_0 gt g_h "and " g_0 gt g_d`