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MHT CET · Physics · Waves and Sound

Two sound waves having frequencies 250 Hz and 256 Hz superimpose to produce beat wave. The resultant beat wave has intensity maximum at \(t=0\). After how much time an intensity will be minimum produced at the same point?

  1. A \(\frac{1}{6} \mathrm{~s}\)
  2. B \(\frac{1}{24} \mathrm{~s}\)
  3. C \(\frac{1}{18} \mathrm{~s}\)
  4. D \(\frac{1}{12} \mathrm{~s}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{1}{12} \mathrm{~s}\)

Step-by-step Solution

Detailed explanation

Beat frequency \(=256-250=6 \mathrm{~Hz}\)
Time between the maxima and minima of the beats is \(\frac{T_{\text {beats }}}{2}\).
\(\frac{\mathrm{T}_{\text {beats }}}{2}=\frac{1}{6 \times 2}=\frac{1}{12} \mathrm{~s}\)