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Question

The value of g at a height h above the surface of the earth is the same as at a depth d below the surface of the earth. When both d and h are much smaller than the radius of earth, then which one of the following is correct
  1. d=h2
  2. d=3h2
  3. .d=2h
  4. d=h

A
d=h2
B
d=3h2
C
d=h
D
.d=2h
Solution
Verified by Toppr

The value of gravity at a height h above earth's surface is given by
gh=g(12hR)
and at a depth d is given by
gd=g(1dR)
Since these two values are same, we can see that d=2h

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