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MHT CET 2021 (24 Sep, Shift 1) · Beats

Beats question from MHT CET 2021 (24 Sep, Shift 1)

Q51MHT CET 2021 · 24 SEP · SHIFT 1Medium

Beats

A sonometer wire of length 25 cm vibrates in unison with a tuning fork. When its length is decreased by 1 cm, 6 beats are heard per second. What is the frequency of the tuning fork?

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Answer: (d)

  1. f∝1Lf \propto \dfrac{1}{L}: the 24 cm wire gives n+6n + 6.
  2. n×25=(n+6)×24n \times 25 = (n + 6) \times 24
  3. n=6×24=144 Hzn = 6 \times 24 = 144\text{ Hz}
  4. So the answer is (d) 144 Hz.
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