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NTA Abhyas JEE Main2020PhysicsWaves and SoundPractice

A tuning fork vibrates with a frequency of 256 Hz . Taking the speed of sound to be 345 . 6 m s - 1 in the air, find the wavelength and the distance, which the sound travels during the time, fork makes 60 vibrations.

Options

  1. A1 . 35   m ,   81   m
  2. B1 . 40   m ,   84   m
  3. C1 . 45   m ,   87   m
  4. D1 . 55   m ,   93   m

Correct answer

A. 1 . 35   m ,   81   m

Step-by-step solution

Here, f =   256   Hz ;     υ   =   345 .6   m   s − 1 ∴   λ   = υ f = 345.6 256 = 1 .35   m In one cycle, sound advances by distance λ Therefore, the required distance travelled by sound, S   =   60.   λ   = 81   m

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