# Two waves of the same pitch have amplitudes in the ratio 1: 3 What will be the ratio of their (i) loudness, (ii) pitch? - Physics

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?

#### 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.

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#### APPEARS IN

Selina Concise Physics Class 8 ICSE
Chapter 7 Sound
Numericals | Q 1 | Page 137