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

d=h2

d=3h2

.d=2h

d=h

A

d=h

B

.d=2h

C

d=3h2

D

d=h2

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Solution

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

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