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A particle of mass \( m \) is thrown upwards from the surface of the earth, with a velocity \( u \). The mass and the radius of the earth are, respectively, \( M \) and \( R \). \( G \) is gravitational constant and \( g \) is acceleration due to gravity on the surface of the earth. The minimum value of \( u \) so that the particle does not return back to earth, is
(a) \( \sqrt{\frac{2 G M}{R^{2}}} \)
(b) \( \sqrt{\frac{2 G M}{R}} \)
(c) \( \sqrt{\frac{2 g M}{R^{2}}} \)
(d) \( \sqrt{2 g R^{2}} \)
 
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