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A soprano and a bass are singing a duet. While the soprano sings an A# at 932 Hz, the bass sings an A# but three octaves lower. In this concert hall, the density of air is 1.20 kg/m3 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 nm) does the soprano produce to sing her A# at 72.0 dB? |
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