A musical instrument ' P ' produce sound waves of frequency ' n ' and amplitude ' A '. Another musical instrument ' Q ' produces sound waves of frequency ' n/4 ' The waves produced by ' P ' and ' Q ' have equal energies. If the amplitude of waves produced by ' P ' is ' Ap ', the amplitude of waves produced by ' Q ' will be (a) 2Ap (b) 4Ap (c) 6Ap (d) 9Ap

Answer: (b). Wave energy E ∝ A² n², so equal energies give A n = constant. AQ = Ap n/n/4 = 4Ap So the answer is (b) 4Ap.

A musical instrument ' P ' produce sound waves of frequency ' n ' and… | MHT CET 2025 (26 Apr, Shift 2)

Q13MHT CET 2025 · 26 APR · SHIFT 2Medium

Wave Basics & Properties of Sound

A musical instrument ' P ' produce sound waves of frequency ' $n$ ' and amplitude ' $A$ '. Another musical instrument ' $Q$ ' produces sound waves of frequency ' $\frac{n}{4}$ ' The waves produced by ' P ' and ' $Q$ ' have equal energies. If the amplitude of waves produced by ' P ' is ' $A_p$ ', the amplitude of waves produced by ' $Q$ ' will be

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Answer: (b)

Wave energy $E \propto A^2 n^2$ , so equal energies give $A n =$ constant.
$A_Q = A_p \frac{n}{n/4} = 4A_p$
So the answer is (b) $4A_p$ .

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