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A uniform string is vibrating with a fundamental frequency ' f '. The new frequency, if radius & length both are doubled would be

Options

  1. A2 f
  2. B3 f
  3. Cf 4
  4. Df 3

Correct answer

C. f 4

Step-by-step solution

Fundamental frequency of a vibrating string is expressed as f= 1 2 L T = 1 L D T where, aligned & D= diameter of string & = density of the & material of string aligned As length L and radius are doubled, the new frequency f^ = 1 (2 L)(2 D) T = 1 4 f

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