The Earth is assumed to be a sphere of radius \( R \). A platform is arranged at a height \( \ma...

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The Earth is assumed to be a sphere of radius \( R \). A platform is arranged at a height \( \mathrm{R} \) from the surface of the Earth. The escape velocity of a body from this platform is \( f v \), where \( v \) is its escape velocity from the surface of the Earth. The value of \( f \) is
[CBSE PMT 2006]
(a) \( \frac{1}{3} \)
(b) \( \frac{1}{2} \)
(c) \( \sqrt{2} \)
(d) \( \frac{1}{\sqrt{2}} \)
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