Question

The change in the value of g at a height h about the surface of the earth is the same as at a depth d below the surface of earth. When both d and h are much smaller than the radius of earth, then which one of the following is correct?

A
d=h
B
d=2h
C
d=3h2
D
d=h2
Solution
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Acceleration due to gravity at a height h, gh=g(12hR)
Acceleration due to gravity at a depth d, gd=g(1dR)
g(12hR) =g(1dR)
or 2hR=dR
or d=2h.

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