If the radius of the earth shrinks by $1.5\%$ (mass remaining same), then the value of acceleration due to gravity changes by ....... $\%$.
If the radius of the earth shrinks by $1.5\%$ (mass remaining same), then the value of acceleration due to gravity changes by ....... $\%$.
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If the radius of the earth shrinks by $1.5\%$ (mass remaining same), then the value of acceleration due to gravity changes by ....... $\%$.
$g \propto \frac{1}{{{R^2}}}$
Percentage change in $g = 2$(percentage change in $R$) $ = 2 \times 1.5 = - 3\% $
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