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Physics Question on Gravitation

The earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the surface of the earth. The escape velocity of a body from this platform is fve, where ve is its escape velocity from the surface of the earth. The value of f is :

A

2

B

12\frac{1}{\sqrt 2}

C

13\frac{1}{3}

D

4

Answer

12\frac{1}{\sqrt 2}

Explanation

Solution

Here, v = 2GMR\sqrt{\frac{2GM}{R}}​ and kv=2GMR+R\sqrt{\frac{2GM}{R+R}}

Solving k =12\frac{1}{\sqrt 2}

Therefore, the correct option is (B): 12\frac{1}{\sqrt 2}