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MHT CET 2026 (19 Apr, Shift 1) · Beats

Beats question from MHT CET 2026 (19 Apr, Shift 1)

Q10MHT CET 2026 · 19 APR · SHIFT 1Medium

Beats

A tuning fork gives 55 beats per second with a 3333 cm length of sonometer wire. If the length of the wire is shortened by 11 cm, the number of beats is still the same. The frequency of the fork is

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Answer: (b)

  1. f∝1Lf \propto \dfrac{1}{L}, so the 33 cm wire is below the fork and the 32 cm wire above it.
  2. (n−5)×33=(n+5)×32(n - 5) \times 33 = (n + 5) \times 32
  3. 33n−165=32n+160⇒n=325 Hz33n - 165 = 32n + 160 \Rightarrow n = 325\text{ Hz}
  4. So the answer is (b) 325 Hz.
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