(i) The square of the amplitude determines the loudness.
The loudness ratio is 1:9.
(ii) If the pitch remains constant, the frequency remains constant.
1: 1 ratio of frequencies
Two waves of the same pitch have amplitudes in the ratio 1: 3 What will be the ratio of their (i) loudness, (ii) pitch?
(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: Properties of Sounds
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Two waves of the same pitch have amplitudes in the ratio 1:3. What will be the ratio of their i loudness, and ii frequencies ?
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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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