Two waves of the same pitch have amplitude in the ratio 1 is to 3

(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 ?

Open in App