A planet of mass M movies along an ellipse around the sun. Its maximum and minimum distance from the sun are r1 and r2 , respectively. Mass of the sun is Ms. The angular momentum of this planet relative to the centre of the sun is

Q: A planet of mass M movies along an ellipse around the sun. Its maximum and minimum distance from the sun are r1 and r2 , respectively. Mass of the sun is Ms. The angular momentum of this planet relative to the centre of the sun is

(a) $\frac{M}{2} \sqrt{\frac{2 G M_s r_1 r_2}{(r_1 + r_2)}} $

(b) $\frac{M}{2} \sqrt{\frac{ G M_s r_1 r_2}{(r_1 + r_2)}} $

(c) $ M \sqrt{\frac{2 G M_s r_1 r_2}{(r_1 + r_2)}} $

(d) $M \sqrt{\frac{ G M_s r_1 r_2}{(r_1 + r_2)}} $

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Ans: (c)