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Physics · JEE | GRAVITATION
हिन्दीIf the radius of the Earth shrinks by \( 1\% \) its mass remaining the same, the acceleration due to gravity on its surface will:
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Correct answer · Option D
increase by approximately \( 2\% \)
Explanation
Since \( g = \frac{GM_E}{R_E^2} \), taking logarithms and differentiating gives \( \frac{\Delta g}{g} = -2 \frac{\Delta R_E}{R_E} = -2(-1\%) = +2\% \).
