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MHT CET · Physics · Waves and Sound

A source and listener are both moving towards each other with speed \(\frac{\mathrm{V}}{10}\). (where V is speed of sound) If the frequency of sound note emitted by the source is ' \(n\) ', then the frequency heard by the listener would be nearly

  1. A 1.1 n
  2. B 1.22 n
  3. C n
  4. D 1.27 n
Verified Solution

Answer & Solution

Correct Answer

(B) 1.22 n

Step-by-step Solution

Detailed explanation

\(\begin{aligned} \mathrm{n}^{\prime} & =\left(\frac{\mathrm{V}+\mathrm{V}_{\mathrm{L}}}{\mathrm{V}-\mathrm{V}_{\mathrm{S}}}\right) \mathrm{n} \\ & =\left(\frac{\mathrm{V}+\frac{\mathrm{V}}{10}}{\mathrm{~V}-\frac{\mathrm{V}}{10}}\right) \mathrm{n} \\ & =\frac{11}{9} \mathrm{n} \\ & =1.22 \mathrm{n}\end{aligned}\)