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At what height above the earth surface gravity becomes half

Answer» Variation in value of at higher altitude is given as,\xa0{tex}g_h = g\\left ( 1-{2h\\over R}\\right ){/tex}Here,gh is the value of acceleration due to gravity at height h above the surface of the Earth. Also, R is the radius of Earth.Using it in the relation, we get,\xa0{tex}{g\\over 2} = g\\left (1-{2h\\over r}\\right )\\\\=> {2h\\over R} = {1\\over 2}\\\\=> h = {R\\over 4}{/tex}Thus value of g will be its half at the height =\xa0{tex}{R\\over 4}{/tex}, above the surface of the Earth, where R is the Radius of Earth.


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