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AIIMS2018PhysicsGravitation

Average distance of the earth from the sun is L₁ . If one year of the earth =D days, one year of another planet whose average distance from the sun is L₂ will be

Options

  1. AD ( L₂ L₁ )^ 1 / 2 days
  2. BD ( L₂ L₁ )^ 3 / 2 days
  3. CD ( L₂ L₁ )^ 2 / 3 days
  4. DD ( L₂ L₁ ) days

Correct answer

B. D ( L₂ L₁ )^ 3 / 2 days

Step-by-step solution

According to Kepler's third law, T^2 r^3 or T r^ 3 / 2 D^ D = ( L₂ L₁ )^ 3 / 2 or D^ =D ( L₂ L₁ )^ 3 / 2 days

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