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

The correct option is C

Increase by 2%

We know $g\alpha \frac{1}{R^2}$ [As R decreases, g increases]
So % change in g = 2(% change in)

Acceleration due to gravity increases by 2%