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Two satellites of masses M and 9 M are orbiting a planet in a circular orbit of radius r . Their frequency of revolution will be in the ratio of

Options

  1. A1 : 9
  2. B1 : 3
  3. C1 : 1
  4. D3 : 1

Correct answer

C. 1 : 1

Step-by-step solution

Using Kepler's III rd law of planetary motion, T = 2 π r 3 GM or T 2 ∝ r 3 Frequency, f = 1 T = 1 2 π GM r 3 Frequency is independent of the mass of the satellite. Hence, required ratio = 1 : 1

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