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Q.
The displacement-time graphs for two sound waves $A$ and $B$ are shown in the figure, then the ratio of their intensities $I_{A} / I_{B}$ is equal to
Waves
Solution:
Intensity $\propto a^{2} \omega^{2}$
Here $\frac{a_{A}}{a_{B}}=\frac{2}{1}$
and $\frac{\omega_{A}}{\omega_{B}}=\frac{1}{2}$
$\Rightarrow \frac{I_{A}}{I_{B}}=\left(\frac{2}{1}\right)^{2} \times\left(\frac{1}{2}\right)^{2}=\frac{1}{1}$