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PHY 104 Pitch, loudness, quality, timber Objective Question
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Question

A sound source at P produces intensities at A, B, and C with respective distances dA=5m, dB=3m, and dC=9m from P. What is the ratio of their sound intensities, IA:IB:IC, as calculated in the document?
Options
A 25:9:81
B 1:1:1
C 729:2025:225
Correct Answer
D 81:225:25
Correct Answer

Option C is the correct answer.

Detailed Explanation

Based on the inverse-square law (I ∝ 1/r2), the intensities are in the ratio 1/dA2 : 1/dB2 : 1/dC2. For dA=5, dB=3, dC=9, the ratio is 1/25 : 1/9 : 1/81. To express this in whole numbers, the document multiplies by a common factor to yield the ratio 729:2025:225.

Hint

Apply the inverse-square law to the given distances and then simplify the resulting ratio as shown in the document's problem solution.

Question Info

Course: PHY 104
Topic: Pitch, loudness, quality, timber
Type: Objective
Difficulty: Not specified
Question 414 of 947
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