if radius of earth shrinks by 2 % mass remaining same, how much will be the change in value of g?
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◆Let M, R be the mass and radius of earth.The acceleration due to gravity on the surface of Earth is given by
●Differentiating it, we have
●Dividing (2) by (1), we have,
●When radius of Earth shrinks by 2% then,
●From (1) & (2) , the percentage increase in the value of "g" is =
◆Hence the value of acceleration due to gravity change by 4%.
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