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MHT CET20228 Aug 2022Morning ShiftPhysicsGravitationActual

A satellite S₁ of mass m is moving in an orbit of radius r . Another satellite S₂ of mass 2 ~m is moving in an orbit of radius 2 r . The ratio of time period of satellite S₂ to that of S₁ is

Options

  1. A2:1
  2. B1:8
  3. C1:4
  4. D2 2 : 1

Correct answer

D. 2 2 : 1

Step-by-step solution

According to Kepler's Law of periods: T^2 R^3 Therefore, T₂ T₁ = ( 2 r r )^ 3 2 = 2 2 1

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