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:
  1. 3 : 2
  2. 2 : 3
  3. 9 : 4
  4. 4 : 9

Answer

  1. 9 : 4

Explanation:

Here, r1 = 2m and r2 = 3m

$\text{I}\propto\frac{1}{\text{r}^2}$

$\therefore \frac{\text{I}_1}{\text{I}_2}=\frac{\text{r}^2_2}{\text{r}^2_1}=\frac{3^2}{2^2}=\frac{9}{4}$

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