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7.Gravitation
medium
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
D
Each decreases at different rates
Solution
(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.
Standard 11
Physics