Two waves have the same pitch but their amplitudes are in the ratio of 1:2.Draw a figure to show the two waves...
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Answer:
Loudness depends on the square of the amplitude of the wave.
That is, loudness∝(amplitude)
2
Thus, when the ratio of amplitudes of the wave is 1:3, the loudness becomes 1:9.
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Diagram of two waves:
- As per the question, the waves have the same pitch. This means that frequency of the waves will be same. This is means that the time period of the wave will be same.
- However, waves have their amplitude in the ratio of 1:2 , which means that maximum displacement of the medium particles during wave propagation will be in the ratio of 1:2.
- Also, find the waves we will consider the wave to be a longitudinal, progressive wave.
So, while drawing the waves on a single graph, sure that the time period of the waves will be same but the displacement of the waves (i.e. amplitude) will be different.
Refer to attached diagram.
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