The acceleration due to gravity is g at a

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The acceleration due to gravity is $g$ at a point distant $r$ from the centre of earth of radius $R$. If $r < R$, then

A

$g \propto r$

B

$g \propto {r^2}$

C

$g \propto {r^{ - 1}}$

D

$g \propto {r^{ - 2}}$

The acceleration due to gravity is $g$ at a point distant $r$ from the centre of earth of radius $R$. If $r < R$, then

Inside the earth $g' = \frac{4}{3}\pi \rho Gr$

$g' \propto r$