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JEE Main 2024 (27 Jan, Shift 1) · Acceleration Due to Gravity

Acceleration Due to Gravity question from JEE Main 2024 (27 Jan, Shift 1)

Q26JEE Main 2024 · 27 JAN · SHIFT 1Easy

Acceleration Due to Gravity

The acceleration due to gravity on the surface of earth is gg. If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be:

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Answer: (d)

  1. g=GMR2g = \frac{GM}{R^2}; with MM fixed, g∝1R2g \propto \frac{1}{R^2}.
  2. Diameter half ⇒R′=R2⇒g′=4g\Rightarrow R' = \frac{R}{2} \Rightarrow g' = 4g
  3. So the answer is (d) 4g4g.
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