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If the radius of the earth was to shringk by 2% its mass remaining same the acceleraton due to gravity on the earth surface would beA. increase by 2%B. increase by 4%C. decrease by 2%D. decrease by 4%

Answer» Correct Answer - B
`g=(GM)/(R^(2))therefore log g = log M +log G - 2 log R`
`therefore (dg)/(g)=-2(dR)/(R )`
`therefore (dg)/(g)xx100=-2xx(-2)/(100)=(4)/(100)`


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