MCQ
Consider earth to be a homogeneous sphere. Scientist $A$ goes deep down in a mine and scientist $B$ goes high up in a balloon. The value of $g$ measured by
  • A
    $A$ goes on decreasing and that by $B$ goes on increasing
  • B
    $B$ goes on decreasing and that by $A$ goes on increasing
  • C
    Each decreases at the same rate
  • Each decreases at different rates

Answer

Correct option: D.
Each decreases at different rates
d
(d) For scientist $A $ which goes down in a mine $g' = g\left( {1 - \frac{d}{R}} \right)$

For scientist $B$, which goes up in a air $g' = g\left( {1 - \frac{{2h}}{R}} \right)$

So it is clear that value of $g$ measured by each will decreases at different rates.

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