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Question 30762
JEE Physics · Hard

Gravitation: JEE — Gravity on Surface MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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JEE — Gravity on SurfaceHardQuestion 30762

Question

If Earth's radius shrinks to half but mass stays the same, surface g becomes:
  1. A
    g/2
  2. B
    2g
  3. C
    4g
    Correct
  4. D
    g/4

Correct answer

4g

Explanation

g = GM/R². If R → R/2: g' = GM/(R/2)² = 4GM/R² = 4g.

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