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What is the time period of the seconds pendulum, on a planet similar to earth, but mass and radius three times as that of the earth?

Options

  1. A2 s
  2. B6 s
  3. C2 3     s
  4. D2 3     s

Correct answer

D. 2 3     s

Step-by-step solution

g = G M R 2 g p g e = M p M e × R e R p 2 = 3 × 1 9 = 1 3 T = 2 π l g T p T e = g e g p = 3 T p = 3 T e Time period at earth for seconds pendulum = 2 s ∴ T p = 2 3     s

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