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MHT CET20227 Aug 2022Evening ShiftPhysicsWaves and SoundActual

A sonometer wire stretched by weight ' w ' is in unison with a tuning fork. The corresponding resonating length is ' L ₁ ' if the weight is increased by ' 3 w ' the corresponding resonating length of the sonometer in unison tuning fork becomes ' L ₂ .' . The ratio ( L ₁ ~L ₂ ) is

Options

  1. A4: 1
  2. B2: 2
  3. C1: 2
  4. D1: 4

Correct answer

C. 1: 2

Step-by-step solution

Velocity of the sound on the string under tension T and with mass per unit length is given by aligned & v = T & v ₁= w v ₂= (3 w + w ) aligned We know L & f= v Therefore, f ₁ w L ₁ and f ₂ 4 w L ₂ f ₁= f ₂ L ₁ ~L ₂ = 1 4 = 1 2

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