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

a
d=h2
b
d=3h2
c
d=2h
d
d=h

detailed solution

Correct option is C

At height h above the surface of the earth, thereforeg′=g1−2hR⇒Δg1=2hRgAt depth d below the surface of the earth g′=g1−dR⇒Δg2=dRgΔg1=Δg2⇒d=2h

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