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JEE Main 2025 (24 Jan, Shift 2) · Acceleration Due to Gravity

Acceleration Due to Gravity question from JEE Main 2025 (24 Jan, Shift 2)

Q15JEE Main 2025 · 24 JAN · SHIFT 2Easy

Acceleration Due to Gravity

Acceleration due to gravity on the surface of earth is ' $g$ '. If the diameter of earth is reduced to one third of its original value and mass remains unchanged, then the acceleration due to gravity on the surface of the earth is ________ g.

Numerical answer type. Work it out, then open the answer.

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Answer: 9

$g = \frac{GM}{R^2}$ ; with $M$ fixed, $g \propto \frac{1}{R^2}$ .
Diameter one third $\Rightarrow R' = \frac{R}{3} \Rightarrow g' = 9g$
So the answer is 9.

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