Question

If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth's surface would

• A. Decrease by 2%
• B. Remain unchanged
• C. Increase by 2%
• D. Increase by 1%

Answer 1

Answer: (C)

Increase by 2%

Answer 2

We know $R$ decreases, g increases]

So % change in $R$) $= 2 \times 1 \% = 2 \%$

$\therefore$ acceleration due to gravity increases by 2%.