Wave Mechanics Question 1104

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

[CBSE PMT 2005]

Options:

A) 9 : 4

B) 2 : 3

C) 3 : 2

D) 4 : 9

Show Answer

Answer:

Correct Answer: A

Solution:

Intensity $ \propto \frac{1}{{{\text{(Distance)}}^{\text{2}}}} $

Therefore $ \frac{I _{1}}{I _{2}}={{( \frac{d _{2}}{d _{1}} )}^{2}}={{( \frac{3}{2} )}^{2}}=\frac{9}{4} $ .