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MHT CET202123 Sep 2021Morning ShiftPhysicsGravitationActual

The ratio of the acceleration due to gravity on two planets P ₁ and P ₂ is K ₁ . The ratio of their respective radii is K ₂ . The ratio of their respective escape velocities is

Options

  1. AK ₁ ~K ₂
  2. B2 ~K ₁ ~K ₂
  3. CK ₁ ~K ₂
  4. DK ₂ ~K ₁

Correct answer

A. K ₁ ~K ₂

Step-by-step solution

Since escape velocity from the surface of a planet can be written as v_e= 2 g R ratio v_ e p₁ v_ e p₂ = 2 g_ p₁ R _ p₁ 2 g_ p₂ R _ p₂ = K ₁ ~K ₂

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