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Answer: A soprano and a bass are singing a duet. While the
Chapter 16, Problem 59P(choose chapter or problem)
Problem 59P
A soprano and a bass are singing a duet. While the soprano sings an A-sharp at 932 Hz, the bass sings an A-sharp but three octaves lower. In this concert hall, the density of air is 1.20 kg/m and its bulk modulus is 1.42 X 105 Pa. In order for their notes to have the same sound intensity level, what must be (a) the ratio of the pressure amplitude of the bass to that of the soprano and (b) the ratio of the displacement amplitude of the bass to that of the soprano? (c) What displacement amplitude (in m and in nm) does the soprano produce to sing her A-sharp at 72.0 dB?
Questions & Answers
QUESTION:
Problem 59P
A soprano and a bass are singing a duet. While the soprano sings an A-sharp at 932 Hz, the bass sings an A-sharp but three octaves lower. In this concert hall, the density of air is 1.20 kg/m and its bulk modulus is 1.42 X 105 Pa. In order for their notes to have the same sound intensity level, what must be (a) the ratio of the pressure amplitude of the bass to that of the soprano and (b) the ratio of the displacement amplitude of the bass to that of the soprano? (c) What displacement amplitude (in m and in nm) does the soprano produce to sing her A-sharp at 72.0 dB?
ANSWER:Solution 59P
Problem (a)
To find the ratio of pressure amplitude
Step 1:
Frequency of Soprano = 932 Hz
Density of air
Bulk modulus B = 1.42x
The intensity level is same