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JEE Previous Year Question

$The radius in kilometer to which the present radius of earth R = 6400 km to be compressed so that theescape velocity is increased 10 time is$

Topic: JEE PYQ

Answer: 64. Full step-by-step solution below.

Correct answer: 64

Solution

(64) JEE Main 2021 V_{e} = \frac{2 Gm}{R} 10 V_{e} = \frac{2 Gm}{R ^{’}} ∴ 10 = \frac{R}{R ^{’}} \Rightarrow R^{’} = \frac{R}{100} = \frac{6400}{100} = 64 k m

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