Question

If the radius of the earth were to shrink by one per cent, its mass remaining the same, the acceleration due to gravity on the earth's surface would :

• A. Decrease
• B. Remain unchanged
• C. Increase
• D. Be zero

Answer 1

The correct option is C

Increase

$g=\frac{GM}{R^2}$ or $g\propto \frac{1}{R^2}$

g will increase if R decrease.