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JEE Main 202117 MarchMorning Shift
Exam
JEE Main
Year
2021
Date
17 March
Shift
Morning Shift
Subject
Physics
Chapter
Gravitation

JEE Main 2021 · 17 March · Morning Shift · Physics · Gravitation

The radius in kilometer to which the present radius of earth ( R =...

The radius in kilometer to which the present radius of earth (R=6400km)( R = 6400km ) to be compressed so that the escape velocity is increased 1010 time is _______.

Correct answer

0

Step-by-step solution

Ve=2GmR…(1){V}_{e} = \sqrt{\dfrac{2Gm}{R}} \ldots \left(1\right)

10Ve=2GmR′…(2)10{V}_{e} = \sqrt{\dfrac{2Gm}{{R}^{'}}} \ldots \left(2\right)

∴10=RR′∴ 10 = \sqrt{\dfrac{R}{R} '}

⇒R′=R100=6400100=64km⇒ {R}^{'} = \dfrac{R}{100} = \dfrac{6400}{100} = 64km

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