The dependence of acceleration due to gravity $g$ on the distance $r$ from the centre of the earth, assumed…

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
  1. (4)
  2. (1)
  3. (2)
  4. (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

Asked in: NEET 2010 (Mains)

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