Question Detail
Question
Based on the problem solution provided in the text (with distances rB=3m and rC=9m), what is the ratio of sound intensity IB : IC?
Correct Answer
Option D is the correct answer.
Detailed Explanation
Using I ∝ 1/r², we have IB : IC = (1/rB²) : (1/rC²) = (1/3²) : (1/9²) = (1/9) : (1/81). To simplify to whole numbers, multiply by 81: (81/9) : (81/81) = 9 : 1. The question asks for IB : IC, so it's 9:1. Option D is 81:9, which is also 9:1.
Hint
Remember that intensity is proportional to the inverse square of the distance.