If the radius of earth were to shrink by one percent, its mass remaining the same, the acceleration due to gravity on the earth’s surface would:
Answer & explanation
Correct answer: option 3
= $\frac{GM}{R^2}$
$\Rightarrow \frac{d g}{g}=-\frac{2 d R}{R}$
As $\frac{d R}{R}$ = -1%
$\Rightarrow \frac{d g}{g}$= -2 (-1) = +2%.
Thus due to gravity will increase.