A planet moving along an elliptical orbit is closest to the sun at a distance of r₁. If v₁ and v₂ are the linear velocities at these points respectively then the ratio v₁ / v₂ is
Options
(a) ( r₁ / r₂)²
(b) r₂ / r₁
(c) (r₂ / r₁)²
(d) r₁ / r₂
Correct Answer:
r₂ / r₁
Explanation:
Angular momentum is conserved
L₁ = L₂ ⇒ mr₁v₁ = mr₂v₂ ⇒ r₁v₁ = r₂v₂
⇒ v₁ / v₂ = r₂ / r₁