Which graph correctley presents the variation of acceleration due to gravity with the distance form the centre of the earth?

Options

A.
B.
C.
D.

Answer

C

Explanation

`r`: distance from centre of earth `R_(e):` radius of earth
`rleR_(e),g'=(gr)/(R_(e)) implies f' prop r`(straight line)
`rgeR_(e), f'=(gR_(e)^(2))/(r^(2)) implies g' prop 1/(r^(2))` (rectangular hyperbola type)