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MHT CET 2026 (18 Apr, Shift 1) · Beats

Beats question from MHT CET 2026 (18 Apr, Shift 1)

Q2MHT CET 2026 · 18 APR · SHIFT 1Easy

Beats

Two sources of sound are emitting progressive waves y1=4sin⁡708πty_1 = 4\sin 708\pi t and y2=3sin⁡700πty_2 = 3\sin 700\pi t. The sources are placed close to each other. The number of beats heard per second and intensity ratio between waxing and wanning are respectively

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Answer: (d)

  1. f1=708π2π=354 Hzf_1 = \frac{708\pi}{2\pi} = 354\text{ Hz}, f2=700π2π=350 Hzf_2 = \frac{700\pi}{2\pi} = 350\text{ Hz}, so 4 beats/s
  2. ImaxImin=(A1+A2)2(A1−A2)2=7212=49:1\frac{I_{max}}{I_{min}} = \frac{(A_1 + A_2)^2}{(A_1 - A_2)^2} = \frac{7^2}{1^2} = 49 : 1
  3. So the answer is (d) 4, 49:14,\ 49 : 1.
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