two waves A and B of the same pitch have ampltudes in the ratio 2:3 what will be the ratio of their a) pitch b) loudness
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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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