(i) Loudness is proportional to amplitude squareRatio of loudness= 1/3square = 1:9(ii) Frequency of the sound wave has no effect on amplitude. so, ratios of frequency remains same that is 1:1
Two waves of the same pitch have amplitudes in the ratio 1:3. What will be the ratio of their (i) loudness (ii) frequencies?
(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. ∴`"Pitch of first wave"/"Pitch of second wave"`=`1/1`=1 :1. Concept: Properties of Sounds Is there an error in this question or solution? |