First slide

Travelling wave

Question

A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distances of 2m and 3m respectively from the source. The ratio of the intensities of the waves at P and Q is

Moderate

A

9 : 4
B

2 : 3
C

3 : 2
D

4 : 9

Solution

Intensity $\propto \frac{1}{{(Distance)}^{2}} \Rightarrow \frac{I_{1}}{I_{2}} = {(\frac{d_{2}}{d_{1}})}^{2} = {(\frac{3}{2})}^{2} = \frac{9}{4}$

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