Starting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by which one of the following graph ?

Options

A.
B.
C.
D.

Answer

D

Explanation

`implies` Inside the earth , `g((GM_e)/(R_e^3)) r (0 lt r le R_e)`
`:.g prop r " " ((GM_e)/R_e) ` is constant )
outside earth `g= (GM_e)/r^2 " " (r ge R_e)`
`:.g prop 1/r^2`
These both situation is truly shown in graph (D)