A musical instrument ' P ' produces 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 ' produces sound waves of frequency ' n '… | MHT CET 2024 (9 May, Shift 2)

Q20MHT CET 2024 · 9 MAY · SHIFT 2Medium

Wave Basics & Properties of Sound

A musical instrument ' $P$ ' produces 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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