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MHT CET202312 May 2023Morning ShiftPhysicsWaves and SoundActual

A uniform string is vibrating with a fundamental frequency ' n '. If radius and length of string both are doubled keeping tension constant then the new frequency of vibration is

Options

  1. A2 n
  2. B3 n
  3. Cn 4
  4. Dn 3

Correct answer

C. n 4

Step-by-step solution

aligned & l₂=2 l₁, R ₂=2 R ₁, ~T ₁= T ₂ & n = 1 2 l T m & Where, m = mass per unit length = ( nR ^2 l ) l & m R ^2 & n ₂ n ₁ = l₁ l₂ R ₁ R ₂ & n ₂ n ₁ = l₁ 2 l₁ R ₁ 2 R ₁ & n ₂= n ₁ 4 = n 4 aligned

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