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MHT CET 2021 (23 Sep, Shift 2) · Beats

Beats question from MHT CET 2021 (23 Sep, Shift 2)

Q46MHT CET 2021 · 23 SEP · SHIFT 2Easy

Beats

Two sound waves having wavelengths 5.0 m5.0\text{ m} and 5.5 m5.5\text{ m} propagate in a gas with velocity 300 m/s\text{m/s}. The number of beats produced per second is

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Answer: (a)

  1. f=vλf = \frac{v}{\lambda}: f1=3005.0=60 Hzf_1 = \frac{300}{5.0} = 60\text{ Hz}, f2=3005.5=54.5 Hzf_2 = \frac{300}{5.5} = 54.5\text{ Hz}
  2. Beats =60−54.5≈5.5= 60 - 54.5 \approx 5.5 per second, nearest option is 6
  3. So the answer is (a) six.
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