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JEE Main 2022 (28 Jul, Shift 1) · Acceleration Due to Gravity

Acceleration Due to Gravity question from JEE Main 2022 (28 Jul, Shift 1)

Q73JEE Main 2022 · 28 JUL · SHIFT 1Easy

Acceleration Due to Gravity

If the radius of earth shrinks by 2%2\% while its mass remains same. The acceleration due to gravity on the earth's surface will approximately:

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Answer: (d)

  1. g=GMR2⇒Δgg=−2ΔRRg = \frac{GM}{R^2} \Rightarrow \frac{\Delta g}{g} = -2\frac{\Delta R}{R}
  2. ΔRR=−2%⇒Δgg=+4%\frac{\Delta R}{R} = -2\% \Rightarrow \frac{\Delta g}{g} = +4\%
  3. So the answer is (d) increase by 4%4\%.
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