First slide

Intensity of

Question

The displacement-time graphs for two sound waves A and B are shown in the figure, then the ratio of their intensities $\frac{I_{A}}{I_{B}} is$ equal to

Moderate

A

1 : 4
B

1 : 16
C

1 : 2
D

1 : 1

Solution

Intensity $\propto$ $a^{2} ω^{2}$
Here $\frac{a_{A}}{a_{B}} = \frac{2}{1} and \frac{ω_{A}}{ω_{B}} = \frac{1}{2} \Rightarrow \frac{I_{A}}{I_{B}} = {(\frac{2}{1})}^{2} \times {(\frac{1}{2})}^{2} = \frac{1}{1}$

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