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QJEEM21Phbe64: JEE Main 2021 Physics - Class 11 JEEM21Phbe64 Solution: The radius in kilometer to which the present radius of earth (R …

The radius in kilometer to which the present radius of earth (R = 6400 km) to be compressed so that the escape velocity is increased 10 times is ___________.

Step-by-Step Verified Solution

Ves=2GMR{V_{es}} = \sqrt {{{2GM} \over R}}

VesR{V_{es}}\sqrt R = const

∴\therefore Ves.R=10VesR′{V_{es}}.\sqrt R = 10{V_{es}}\sqrt {R'}

⇒\Rightarrow R′=R100R' = {R \over {100}} = 64 km

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