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
A) 1 : 4
B) 1 : 16
C) 1 : 2
D) 1 : 1
Explanation
(d) Intensity $\propto a^{2}\omega^{2}$
Here $\frac{a_{A}}{a_{B}} = \frac{2}{1}$ and $\frac{\omega_{A}}{\omega_{B}} = \frac{1}{2} \Rightarrow \frac{I_{A}}{I_{B}} = \left( \frac{2}{1} \right)^{2} \times \left( \frac{1}{2} \right)^{2} = \frac{1}{1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.