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KCET2008PhysicsWaves and Sound

A string vibrates with a frequency of 200 ~Hz . When its length is doubled and tension is altered, it begins to vibrate with a frequency of 300 ~Hz . The ratio of the new tension to the original tension is

Options

  1. A9: 1
  2. B1: 9
  3. C3: 1
  4. D1: 3

Correct answer

A. 9: 1

Step-by-step solution

v= 1 2 l T m v T 1 T ₂ ~T ₁ = [ v ₂ v ₁ ]² [ l ₂ l ₁ ]²= [ 300 200 ]² [ 21 l ]²= 9 1

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