A musical instrument X produces sound waves of frequency n and amplitude A. Another musical instrument Y produces sound waves of frequency n/3. The waves produced by X and Y have equal energies. The amplitude of waves produced by Y will be (a) 3A (b) 4A (c) 2A (d) A

Answer: (a). Wave energy E ∝ A² n², so equal energies give A n = constant. AY = A n/n/3 = 3A So the answer is (a) 3A.

A musical instrument X produces sound waves of frequency n and… | MHT CET 2024 (10 May, Shift 1)

Q19MHT CET 2024 · 10 MAY · SHIFT 1Medium

Wave Basics & Properties of Sound

A musical instrument X produces sound waves of frequency n and amplitude A. Another musical instrument $Y$ produces sound waves of frequency $\frac{n}{3}$ . The waves produced by $X$ and $Y$ have equal energies. The amplitude of waves produced by Y will be

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Answer: (a)

Wave energy $E \propto A^2 n^2$ , so equal energies give $A n =$ constant.
$A_Y = A \frac{n}{n/3} = 3A$
So the answer is (a) 3A.

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