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MHT CET202016 Oct 2020Morning ShiftPhysicsWaves and SoundActual

The extension in a wire obeying Hooke's law is 'x'. The speed of sound in the stretched wire is 'V'. If the extension in the wire is increased to 4 x , then the speed of sound in a wire is

Options

  1. AV
  2. B2 .5 ~V
  3. C2 ~V
  4. D1 .5 ~V

Correct answer

C. 2 ~V

Step-by-step solution

aligned V &= T m T ₁=- kx T ₂=- k 4 x V ₁ ~V ₂ &= T ₁ ~T ₂ = 1 2 V ₂ &=2 ~V ₁ aligned

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