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Questions  

If the change in the value of g at a height h above the surface of the earth is the same as at a depth x below it, then (both x and h being much smaller than the radius of the earth)

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

detailed solution

Correct option is B

The value of g at the height h from the surface of earthg′=g1−2hRThe value of g at depth x below the surface of earthg′=g1−xRThese two are given equal, hence 1−2hR=1−xROn solving, we get x = 2h

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