A body is projected horizontally from the surface of the Earth (radius = \( R \) ) with a veloci...

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A body is projected horizontally from the surface of the Earth (radius = \( R \) ) with a velocity equal
\( \mathrm{P} \) to \( n \) times the escape velocity. Neglect rotational effects of the earth. The maximum height

W attained by the body from the earths surface is \( R / 2 \). Then, \( n \) must be
(a) \( \sqrt{0.6} \)
(b) \( \sqrt{3} / 2 \)
(c) \( \sqrt{0.4} \)
(d) \( 1 / 2 \)
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