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Q. If both the mass and the radius of the earth decrease by $1 \%$, the value of the acceleration due to gravity will :-

Solution:

$100 \times \frac{\Delta g }{ g }=\frac{\Delta m }{ m } \times 100-2 \frac{\Delta Re }{ Re } \times 100 $
$-1+-2 \times-1 $
$-1+2 $
$=1 \%$
increase by $1 \%$