Two sound waves travelling in the same direction have displacement y₁ = asin (0.2π x - 50π t) and y₂ = asin (0.15π x - 46π t). How many times, a listener can hear sound of maximum intensity in one second? (a) 1 (b) 2 (c) 3 (d) 4

Answer: (b). f₁ = (50π)/(2π) = 25 Hz, f₂ = (46π)/(2π) = 23 Hz Beat frequency = 2 Hz, so 2 maxima per second So the answer is (b) 2.

Two sound waves travelling in the same direction have displacement y₁… | MHT CET 2025 (23 Apr, Shift 2)

Q16MHT CET 2025 · 23 APR · SHIFT 2Easy

Beats

Two sound waves travelling in the same direction have displacement $y_1 = a\sin(0.2\pi x - 50\pi t)$ and $y_2 = a\sin(0.15\pi x - 46\pi t)$ .

How many times, a listener can hear sound of maximum intensity in one second?

Show answer and solution

Answer: (b)

$f_1 = \frac{50\pi}{2\pi} = 25\text{ Hz}$ , $f_2 = \frac{46\pi}{2\pi} = 23\text{ Hz}$
Beat frequency $= 2\text{ Hz}$ , so 2 maxima per second
So the answer is (b) 2.

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