A particle is projected vertically upwards from the surface of eart...

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A particle is projected vertically upwards from the surface of earth (radius \( R \) ) with a kinetic energy equal to half of the minimum value needed for it to escape. The height to which it rises
\( \mathrm{P} \) above the surface of earth is
(a) \( R \)
(b) \( 2 R \)
(c) \( 3 R \)
(d) \( 4 R \)
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