(A) The energy of oscillations is given by the formula $E = \frac{1}{2} m \omega^2 A^2$. Since $\omega = 2 \pi n$,we have $E \propto n^2 A^2$. Given t

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(A) The energy of oscillations is given by the formula $E = \frac{1}{2} m \omega^2 A^2$. Since $\omega = 2 \pi n$,we have $E \propto n^2 A^2$. Given that the energies of the waves produced by $X$ and $Y$ are equal,we can write: $n_X^2 A_X^2 = n_Y^2 A_Y^2$. Substituting the given values $n_X = n$,$A_X = A$,and $n_Y = \frac{n}{3}$: $n^2 A^2 = (\frac{n}{3})^2 A_Y^2$. $n^2 A^2 = \frac{n^2}{9} A_Y^2$. $A^2 = \frac{A_Y^2}{9}$. $A_Y^2 = 9 A^2$. Taking the square root on both sides,we get $A_Y = 3 A$.

Class 11 Physics Waves and Sound Energy and Intensity of Waves

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$A$ 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 (in $A$)

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A
$3$
B
$4$
C
$2$
D
$1$

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Class 11

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Waves and Sound

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Energy and Intensity of Waves

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$A$ 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 (in $A$)

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