Physics
Two waves of the same pitch have their amplitudes in the ratio 2:3.
(a) What will be the ratio of their loudness?
(b) What will be the ratio of their frequencies?
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Answer
(a) Given, amplitude ratio, a1 : a2 = 2 : 3
Loudness is directly proportional to square of amplitude
∴ L ∝ a2
Hence, the ratio of their loudness will be 4 : 9.
(b) Waves with same pitch have the same frequency.
Hence, the ratio of their frequencies will be 1 : 1.
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