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Manipal MET2014PhysicsWaves and Sound

A massless rod is suspended by two identical strings A B and C D of equal length. A block of mass m is suspended from point O such that B O is equal to ' x '. Further, it is observed that the frequency of 1 st harmonic (fundamental frequency) in A B is equal to 2 nd harmonic frequency in C D . Then, length of B O is

Options

  1. AL / 5
  2. B4 L / 5
  3. C3 L / 4
  4. DL / 4

Correct answer

A. L / 5

Step-by-step solution

array r 1 2 / T₁ = 1 l T₂ T₂= T₁ 4 array For rotational equilibrium, aligned & T₁ x & =T₂(L-x) & x=5 aligned

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