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 3 and its bulk modulus is 1.42 × 10 5 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?
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 3 and its bulk modulus is 1.42 × 10 5 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?
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/m3 and its bulk modulus is 1.42 × 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?
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/m3 and its bulk modulus is 1.42 × 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?
A loud factory machine produces sound having a displacement amplitude in air of 1.00 μmμm, but the frequency of this sound can be adjusted. In order to prevent ear damage to the workers, the maximum pressure amplitude of the sound waves is limited to 10.0 PaPa. Under the conditions of this factory, the bulk modulus of air is 1.30×105 PaPa. The speed of sound in air is 344 m/sm/s.
What is the highest-frequency sound to which this machine can be adjusted without exceeding the prescribed limit?
Express your answer in hertzes.
Two strings, A and B, have respective mass densities #a and Hg respectively. The linear mass density, Hg,
of string-B is nine times that of string-A (Hg = 9Pa). If both strings have the same fundamental frequency
when kept at the same tension, then the ratio of their lengths LA/Lg is equal to:
9
1/9
1/3
3
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