A particle is thrown vertically up from the surface of the earth at...

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A particle is thrown vertically up from the surface of the earth at a very large speed equal to \( \sqrt{g R} \), where \( g \) is acceleration due to gravity on the surface of the earth of radius \( R \), then maximum altitude attained by the particle is
(1) \( \frac{R}{2} \)
(2) \( R \)
(3) \( 2 R \)
(4) \( 4 R \)
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