JEE Main 2024 Physics question
Two planets A and B having masses m₁ and m₂ move around the sun in circular orbits of r₁ and r₂ radii respectively. If angular momentum of A is L and that of B is 3L, the ratio of time period is:
Answer: (C)
Solution
L = m√(GMr) ⇒ r = L²/(GMm²), so r₁/r₂ = (L/m₁)²/(3L/m₂)² = m₂²/(9m₁²). T ∝ : / = (r₁/r₂ = (1/27)(m₂/m₁)³.