Question

If the Earth shrinks in its size (radius) mass remaining the same, the value of g on its surface will

• A. increase
• B. decrease
• C. remain same
• D. be reduced to zero

Answer 1

Answer: (A)

increase

Answer 2

Acceleration due to gravity of the Earth is given by
$g = \frac{GM}{R^2}$ or $g \propto \frac{1}{R^2}$ (for same mass)
If the Earth shrinks in its size, mass remaining same, the value of g on its surface will increase.