Short Note
Two waves of the same pitch have amplitudes in the ratio 1: 3 What will be the ratio of their (i) loudness, (ii) pitch?
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Solution
(i) Loudness ∝ (amplitude)2
Loudness is proportional to amplitude square Ratio of loudness =`"L"_1/"L"_2 =((a_1)^2)/((a_2)^2)=(1)^2/(3)^2=1\/9=1:9`
(ii) Frequency of the sound wave has no effect on amplitude.
so, frequency remains the same if the pitch is unchanged.
∴`"Pitch of first wave"/"Pitch of second wave"`=`1/1`=1 :1.
Concept: Distinguishing Different Sounds
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