Q.
A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distance of 2m and 3m respectively from the source. The ratio of the intensities of the waves at P and Q is :
A) 9 : 4
B) 2 : 9
C) 9 : 2
D) 4 : 9
Explanation
[Solution from source] A point source spreads energy over a sphere, so I ∝ 1/r². I_P/I_Q = (3/2)² = 9/4, i.e. 9 : 4. Writing 4 : 9 inverts the ratio by taking I ∝ r². Answer (1).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.