Two planet A and B are revolving around a massive star such that rA = 2rB and mA=4√3 mB.

Question

Two planet A and B are revolving around a massive star such that r_A = 2r_B and m_A = \(4 \sqrt3\) m_B. Find ratio of angular momentum of planet B to planet A.

(1) \(8\sqrt3\)  

(2) \(\frac{1}{8\sqrt3}\)

(3) \(\frac{1}{2\sqrt3}\)

(4) \(\frac{1}{3\sqrt3}\)

Answer 1

Correct option is (2) \(\frac{1}{8\sqrt3}\)