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Question: Escape velocity on a planet is \(v _ { e }\) . If radius of the planet remains same and mass become...

Escape velocity on a planet is vev _ { e } . If radius of the planet remains same and mass becomes 4 times, the escape velocity becomes

A

4ve4 v _ { e }

B

2ve2 v _ { e }

C

vev _ { e }

D

12ve\frac { 1 } { 2 } v _ { e }

Answer

2ve2 v _ { e }

Explanation

Solution

veMv _ { e } \propto \sqrt { M } if

If the mass of the planet becomes four times then escape velocity will become 2 times.