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MHT CET 2025 (21 Apr, Shift 2) · Beats

Beats question from MHT CET 2025 (21 Apr, Shift 2)

Q22MHT CET 2025 · 21 APR · SHIFT 2Medium

Beats

Two strings ' X ' and ' Y ' of a guitar produces a beat frequency of 6 Hz. When the tension of the string ' Y ' is increased, the beat frequency is found to be 4 Hz. If the frequency of string ' X ' is 300 Hz, then the original frequency of string ' Y ' is

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Answer: (b)

  1. fY=300±6=306f_Y = 300 \pm 6 = 306 or 294 Hz294\text{ Hz}.
  2. Increasing tension raises fYf_Y, and the beats fall to 4, so fY<300f_Y < 300.
  3. 294→296 Hz294 \to 296\text{ Hz} gives 4 beats.
  4. So the answer is (b) 294 Hz.
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