Frequencies of two sound waves are $334\text{ Hz}$ and $326\text{ Hz}$. If the velocity of the sound is…

Frequencies of two sound waves are $334\text{ Hz}$ and $326\text{ Hz}$. If the velocity of the sound is $330\text{ ms}^{-1}$, then the beat period when the two waves superimpose, is [MP PMT 2013]
  1. 8 s
  2. 1 s
  3. 0.125 s
  4. 0.25 s

Solution

Given, $f_1 = 334\text{ Hz}$, $f_2 = 326\text{ Hz}$, $v = 330\text{ ms}^{-1}$ Combined frequency, $f = f_1 - f_2 = 334 - 326 = 8\text{ Hz}$ Time period, $T = \frac{1}{f} = \frac{1}{8} = 0.125\text{ s}$

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