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KCET2012PhysicsGravitation

A planet moving around sun sweeps area A ₁ in 2 days, A ₂ in 3 days and A ₃ in 6 days. Then, the relation between A ₁, ~A ₂ and A ₃ is

Options

  1. A6 ~A ₁=3 ~A ₂=2 ~A ₃
  2. B3 A₁=2 A₂=A₃
  3. C2 ~A ₁=3 ~A ₂=6 ~A ₃
  4. D3 A₁=2 A₂=6 A₃

Correct answer

B. 3 A₁=2 A₂=A₃

Step-by-step solution

By Kepler's second law of motion, A₁ t₁ = A₂ t₂ = A₃ t₃ A₁ 2 = A₂ 3 = A₃ 6 3 A₁ 6 = 2 A₂ 6 = A₃ 6 3 A₁=2 A₂=A₃

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