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Question: The escape velocity from the surface of earth is \(V _ { e }\) . The escape velocity from the surfa...

The escape velocity from the surface of earth is VeV _ { e } . The escape velocity from the surface of a planet whose mass and radius are 3 times those of the earth will be

A

VeV _ { e }

B

3Ve3 V _ { e }

C

9Ve9 V _ { e }

D

27Ve27 V _ { e }

Answer

VeV _ { e }

Explanation

Solution

ve=2GMRv _ { e } = \sqrt { \frac { 2 G M } { R } }

If mass and radius of the planet are three times than that of earth then escape velocity will be same.