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MHT CET 2025 (26 Apr, Shift 2) · Beats

Beats question from MHT CET 2025 (26 Apr, Shift 2)

Q27MHT CET 2025 · 26 APR · SHIFT 2Difficult

Beats

The closed and open organ pipes have same length. When they are vibrating simultaneously in first overtone, they produce four beats. The length of open pipe is made half and that of the closed pipe is made two times the original. Now the number of beats produced if the two pipes are vibrating in their fundamental modes simultaneously is

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Answer: (c)

  1. First overtone: closed 3v4L\frac{3v}{4L}, open vL\frac{v}{L}; beats v4L=4⇒vL=16\frac{v}{4L} = 4 \Rightarrow \frac{v}{L} = 16.
  2. Open pipe L2\frac{L}{2}, fundamental: vL=16\frac{v}{L} = 16 Hz
  3. Closed pipe 2L2L, fundamental: v8L=2\frac{v}{8L} = 2 Hz
  4. Beats =16−2=14= 16 - 2 = 14. So the answer is (c) 14.
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