if the radius of earth is R then the height 'h' from the surface at which the value of 'g' becomes one fourth of its value on surface is
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if the radius of earth is R then the height 'h' from the surface at which the value of 'g' becomes one fourth of its value on surface is R
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here is your answer
at height, g' = g[R / (R + h)]2
given : g' =(1/4) g
(1/4) g = g[R / (R + h)]2
[R / (R + h)] = (1/2)
2R = R + h
R=H
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