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Q.

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 fv, where v is the escape velocity from the surface of the earth. The value of f is :

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a

2

b

12

c

13

d

12

answer is B.

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Detailed Solution

By using conservation of mechanical energy−GMm(R+R)+12m(fv)2=0+0Where v=2GMR⇒f=12

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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 fv, where v is the escape velocity from the surface of the earth. The value of f is :