The escape velocity of a body from Earth is v_e. If Earth's radius shrinks to 1/4th keeping mass constant, escape velocity becomes MCQ with Answer and Explanation

Question

The escape velocity of a body from Earth is v_e. If Earth's radius shrinks to 1/4th keeping mass constant, escape velocity becomes

A. v_e/4

B. 4 v_e

C. v_e/2

D. 2 v_e

Answer: Option D

Solution (By JKSSB Mock Tests)

v_esc ∝ √(1/R). If R→R/4, v_esc ∝ √(4) = 2. So 2v_e.

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Correct Answer: Option C

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