Two waves of the same pitch have their amplitudes in the ratio $2 : 3$
What will be the ratio of their loudness?

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Solution

1. Given
The ratio of amplitude. $2 : 3$
2. Loudness of sound depends on the amplitude of the sound.
3. Loudness is proportional to the square of the amplitude of the wave.
. $∴$ Ratio of loudness $= {(2 : 3)}^{2} = 4 : 9$
Hence, the ratio of loudness is $4 : 9$ .

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Two waves of the same pitch have their amplitudes in the ratio 2:3What will be the ratio of their loudness?

1. Given The ratio of amplitude.2:32. Loudness of sound depends on the amplitude of the sound. 3. Loudness is proportional to the square of the amplitude of the wave..∴ Ratio of loudness =(2:3)2=4:9Hence, the ratio of loudness is 4:9.

Two waves of the same pitch have their amplitudes in the ratio $2 : 3$
What will be the ratio of their loudness?

1. Given
The ratio of amplitude. $2 : 3$
2. Loudness of sound depends on the amplitude of the sound.
3. Loudness is proportional to the square of the amplitude of the wave.
. $∴$ Ratio of loudness $= {(2 : 3)}^{2} = 4 : 9$
Hence, the ratio of loudness is $4 : 9$ .