Two waves of the same pitch have their amplitudes in the ratio 2 : 3.
(i) What will be the ratio of their loudness ?
(ii) What will be the ratio of their frequencies ?
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(i) Given, Amplitude ratio, a1 : a2 = 2 : 3
∵ I ∝ a2
∴ I1/I2 = a12/a22 = 22/32 = 4/9
⇒ I1 : I2 = 4 : 9
(ii) ∵ Frequency ∝ Pitch
∴ Ratio of frequencies = 1 : 1
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