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KCET2011PhysicsWaves and Sound

A wire under tension vibrates with a fundamental frequency of 600 ~Hz . If the length of the wire is doubled, the radius is halved and the wire is made to vibrate under one-ninth the tension. Then the fundamental frequency will become

Options

  1. A200 ~Hz
  2. B300 ~Hz
  3. C600 ~Hz
  4. D400 ~Hz

Correct answer

A. 200 ~Hz

Step-by-step solution

Frequency of wire, f= 1 2 l r T So here, aligned f₁ f₂ &= l₂ l₁ r₂ r₁ T₁ T₂ 600 f₂ &= 2 1 1 2 T T / 9 600 f₂ &=3 f₂ &= 600 3 f₂ &=200 ~Hz aligned

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