The dependence of acceleration due to gravity $g$ on the distance $r$ from the centre of the earth, assumed to be a sphere of radius $R$ of uniform density is as shown in figures below (1)
(2)
(3)
(4)
The correct figure is

• Correct answer
  A

  (4)
• B

  (1)
• C

  (2)
• D

  (3)

Solution

$\because g \propto r$ and $g \propto \frac{1}{\mathbf{r}_2}$ (if $r < R$ ) (if $r>R$ ) So, the correct figure will be

Hence, the correct answer is option: 'A'.