NEET2011PhysicsGravitationActual
A planet moving along an elliptical orbit is closest to the sun at a distance r₁ and farthest away at a distance of r₂ . If y₁ and v₂ are the linear velocities at these points respectively, then the ratio y₁ y₂ is
Options
- Ar₂ / r₁
- B(r₂ / r₁ )^2
- Cr₁ / r₂
- D(r₁ / r₂ )^2
Correct answer
A. r₂ / r₁
Step-by-step solution
From the law of conservation of angular momentum gathered m r₁ y₁=m r₂ y₂ r₁ y₁=r₂ y₂ y₁ y₂ = r₂ r₁ gathered