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COMEDK2017PhysicsWaves and Sound

In an experiment with sonometer a tuning fork of frequency 256 ~Hz resonates with a length of 25 ~cm and another tuning fork resonates with a length of 16 ~cm . Tension of the string remaining constant the frequency of the second tuning fork is

Options

  1. A163.84 ~Hz
  2. B400 ~Hz
  3. C320 ~Hz
  4. D204.8 ~Hz

Correct answer

B. 400 ~Hz

Step-by-step solution

The wavelength of the sound is proportional to the length of wire. Also, the velocity of sound is same in both cases, so aligned & & v₁ &=v₂ & & f₁ ₁ &=f₂ ₂ & 256 25 &=f₂ 16 & & f₂= 256 25 16 =400 ~Hz aligned

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