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)

Question

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), x = h, x = 2 x h, x = h 2, x = h 2

MARKS App · Accepted Answer

The value of g at the height h from the surface of earth g ′ = g 1 - 2 h R The value of g at depth x below the surface of earth g ′ = g 1 - x R These two are given equal, hence 1 - 2 h R = 1 - x R On solving, we get x = 2 h

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