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A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distances of 2 m and 3 m 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

Correct answer: 4 : 9

Solution

The intensity of a wave is inversely proportional to the square of the distance from the source. Thus, the ratio of intensities at P and Q is (3/2)^2 = 9:4.

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