Question

A planet moving along an elliptical orbit is closest to the Sun at distance r₁ and farthest away at a distance of r₂ If V₁ and V₂ are linear speeds at these points respectively. Then the ratio \(\frac {v_1}{v_2}\) is ……

Answer 1

(a) \(\frac{r_1}{r_2}\)

According to the Law of conservation of angular momentum

mv₁r₁ = mv₂r₂; v₁r₁ = v₂r₂

\(\frac{v_1}{v_2}\) = \((\frac{r_2}{r_1})\)