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Question

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 gravitational field measured by
  1. A goes on decreasing and that of B goes on increasing
  2. B goes on decreasing and that of A goes on increasing
  3. each decreases at the same rate
  4. each decreases at different rates

A
A goes on decreasing and that of B goes on increasing
B
B goes on decreasing and that of A goes on increasing
C
each decreases at the same rate
D
each decreases at different rates
Solution
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The variation of 'g' with altitude is: g=g(12hR)
The variation of 'g' with depth is: g=g(1dR)
So, from the above equations we can deduce that if a person goes deep into a mine or to a height above the Earth's surface, the gravitational field decreases at different rates.

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