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MHT CET 2024 (11 May, Shift 1) · Beats

Beats question from MHT CET 2024 (11 May, Shift 1)

Q34MHT CET 2024 · 11 MAY · SHIFT 1Medium

Beats

The frequency of two tuning forks A and B are respectively 1.4%1.4\% more and 2.6%2.6\% less than that of the tuning fork C. When A and B are sounded together, 10 beats are produced in 1 second. The frequency of tuning fork C is

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Answer: (a)

  1. nA=1.014 nCn_A = 1.014\,n_C, nB=0.974 nCn_B = 0.974\,n_C
  2. nA−nB=0.04 nC=10n_A - n_B = 0.04\,n_C = 10
  3. nC=250 Hzn_C = 250\text{ Hz}
  4. So the answer is (a) 250 Hz.
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