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MHT CET 2021 (20 Sep, Shift 2) · Beats

Beats question from MHT CET 2021 (20 Sep, Shift 2)

Q48MHT CET 2021 · 20 SEP · SHIFT 2Easy

Beats

Beats are produced by waves y1=asin⁡2000πty_1 = a\sin 2000\pi t and y2=asin⁡2008πty_2 = a\sin 2008\pi t. The number of beats heard per second is

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Answer: (a)

  1. f1=2000π2π=1000 Hzf_1 = \frac{2000\pi}{2\pi} = 1000\text{ Hz}, f2=2008π2π=1004 Hzf_2 = \frac{2008\pi}{2\pi} = 1004\text{ Hz}
  2. Beats per second =1004−1000=4= 1004 - 1000 = 4
  3. So the answer is (a) 4.
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