The radius of the earth is 6*10^9.at what distance from the centre of earth the weight of the body become half

Dear student,
A t space t h e space s u r f a c e space o f space t h e space e a r t h comma space

straight g space equals space fraction numerator G M over denominator straight R squared end fraction
A t space h e i g h t space straight h space a b o v e space t h e space e a r t h apostrophe straight s space s u r f a c e comma space

space space straight g subscript straight h space equals space fraction numerator G M over denominator left parenthesis straight R plus straight h right parenthesis squared end fraction

therefore space space space straight g subscript straight h over straight g space equals space open parentheses fraction numerator straight R over denominator straight R plus straight h end fraction close parentheses squared space space space space

rightwards double arrow space space space space straight g subscript straight h space equals straight g open parentheses fraction numerator straight R over denominator straight R plus straight h end fraction close parentheses squared

B u t comma space space space space space straight g subscript straight h space equals space straight g over 2
therefore space space space space space space straight g over 2 space equals space straight g open parentheses fraction numerator straight R over denominator straight R plus straight h end fraction close parentheses squared space space

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rightwards double arrow space space fraction numerator straight R plus straight h over denominator straight R end fraction space equals space square root of 2 space space space
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h=(2-1)×6×109mh=0.4×6×109mh=2.4×6×109m

As the acceleration due to gravity becomes half at this height, weight will also become half
Regards

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