Question

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

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Acceleration due to gravity, $g=\frac{GMr}{R^3}$ for $0\le r\le R$
$⟹g\propto r$for$0\le r\le R$

Acceleration due to gravity, $g=\frac{GM}{r^2}$ for $r\ge R$
$⟹$ $g\propto \frac{1}{r^2}$ for $r\ge R$


Hence option C is correct.