Question Detail

PHY 104 Pitch, loudness, quality, timber Objective Question

Question

Based on the problem solution provided in the text (with distances rA=5m and rB=3m), what is the ratio of sound intensity IA : IB?
Options
A 25 : 9
B 9 : 25
Correct Answer
C 5 : 3
D 3 : 5
Correct Answer

Option B is the correct answer.

Detailed Explanation

Using I ∝ 1/r², we have IA : IB = (1/rA²) : (1/rB²) = (1/5²) : (1/3²) = (1/25) : (1/9). To simplify to whole numbers, multiply by 225 (25 * 9): (225/25) : (225/9) = 9 : 25.

Hint

Apply the inverse-square law: I is inversely proportional to r-squared.

Question Info