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

Step-by-step solution

The average power per unit area that is incident perpendicular to the direction of propagation is called the intensity, i.e., I = P 4 πr 2 I ∝ I r 2 I 2 I 2 = r 2 r 1 2 Here, r 1 = 2   m ,   r 2 = 3   m ∴ I 1 I 2   = 3 2 2 = 9 4