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The bob of a simple pendulum executes simple harmonic motion in water with a period t , while the period of oscillation of the bob is t₀ in air. Neglecting frictional force of water and given that the density of the bob is ( 4 3 ) 1000 ~kg / m ^3 . What relationship between t and t₀ is true?

Options

  1. At=t₀
  2. Bt=t₀ / 2
  3. Ct=2 t₀
  4. Dt =4 t ₀

Correct answer

C. t=2 t₀

Step-by-step solution

T T ₀ = 1 (1- ^ ) = 1 1- 1 3 T T ₀ =2 or, T =2 ~T ₀

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