Exams › SSC CGL (Prelims) › General

If Earth’s radius shrinks by 1% while its mass remains constant, surface gravitational acceleration would:

1. Rise by about 1%
2. Fall by about 2%
3. Rise by about 2%
4. Fall by about 1%

Correct answer: Rise by about 2%

Solution

Surface gravitational acceleration is given by $g = \frac{GM}{R^2}$. If radius decreases by 1%, then $g$ increases approximately by 2% because of the inverse-square dependence. So the correct option is rise by about 2%.

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