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MHT CET · Physics · Waves and Sound

The frequency of a tuning fork is ' \(\mathrm{n}\) ' \(\mathrm{Hz}\) and velocity of sound in air is ' \(\mathrm{V}\) ' \(\mathrm{m} / \mathrm{s}\). When the tuning fork complete ' \(\mathrm{x}\) ' vibrations, the distance traveled by the wave is

  1. A \(\frac{V}{\mathrm{xn}}\)
  2. B \(\frac{\mathrm{Vn}}{\mathrm{x}}\)
  3. C \(\frac{\mathrm{xV}}{\mathrm{n}}\)
  4. D \(\frac{\mathrm{x}}{\mathrm{Vn}}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{\mathrm{xV}}{\mathrm{n}}\)

Step-by-step Solution

Detailed explanation

Time required for one vibration \(=\frac{1}{\mathrm{n}}\) Time required for \(x\) vibrations, \(t=\frac{x}{n}\) Distance travelled by the wave \(=\mathrm{Vt}=\frac{\mathrm{xV}}{\mathrm{n}}\)