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MHT CET 2025 (21 Apr, Shift 1) · Beats

Beats question from MHT CET 2025 (21 Apr, Shift 1)

Q17MHT CET 2025 · 21 APR · SHIFT 1Easy

Beats

Two sources of sound are emitting progressive waves $y_1 = 4\sin 710\pi t$ and $y_2 = 3\sin 702\pi t$ . The sources are placed close to each other. The number of beats heard per second and intensity ratio between waxing and waning are respectively

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Answer: (c)

$f_1 = \frac{710\pi}{2\pi} = 355\text{ Hz}$ , $f_2 = \frac{702\pi}{2\pi} = 351\text{ Hz}$ , so 4 beats/s
$\frac{I_{max}}{I_{min}} = \frac{(4+3)^2}{(4-3)^2} = 49 : 1$
So the answer is (c) $4,\ 49 : 1$ .

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