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(B) The energy $E$ of a sound wave is proportional to the square of its frequency $n$ and the square of its amplitude $A$. $E \propto n^2 A^2$. Given

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$4$

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(B) The energy $E$ of a sound wave is proportional to the square of its frequency $n$ and the square of its amplitude $A$. $E \propto n^2 A^2$. Given that the energies of the waves produced by $P$ and $Q$ are equal,we have: $n_P^2 A_P^2 = n_Q^2 A_Q^2$. Substituting the given values $n_P = n$ and $n_Q = \frac{n}{4}$: $n^2 A_P^2 = (\frac{n}{4})^2 A_Q^2$. $n^2 A_P^2 = \frac{n^2}{16} A_Q^2$. $A_P^2 = \frac{A_Q^2}{16}$. $A_Q^2 = 16 A_P^2$. Taking the square root on both sides,we get: $A_Q = 4 A_P$.

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