An object is propelled vertically to a maximum height of \( 4 R \) from the surface of a planet ...

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An object is propelled vertically to a maximum height of \( 4 R \) from the surface of a planet of radius \( R \) and mass \( M \). The speed of object when it returns to the surface of the planet is
[KVPY 2015]
(a) \( 2 \sqrt{\frac{2 G M}{5 R}} \)
(b) \( \sqrt{\frac{G M}{2 R}} \)
(c) \( \sqrt{\frac{3 G M}{2 R}} \)
(d) \( \frac{G M}{5 R} \)
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