A spaceship approaches the moon (mass = Mm , radius = Rm ) along a parabolic path which is almost tangential to its surface ….

Q: A spaceship approaches the moon (mass = Mm , radius = Rm ) along a parabolic path which is almost tangential to its surface (very close to it). At the moment of the moon. The change in speed of spaceship is

(a) $\frac{1}{\sqrt{2} – 1} \sqrt{\frac{G M_m}{R_m}}$

(b) $( \sqrt{3} – 1) \sqrt{\frac{G M_m}{R_m}}$

(c) $( \sqrt{2} – 1) \sqrt{\frac{G M_m}{R_m}}$

(d) $( \sqrt{5} – 1) \sqrt{\frac{G M_m}{R_m}}$

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Ans: (c)