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Question

Two tones of frequencies n1 andn2 are sounded together.The beats can be heard distinctly when

A
10<(n1n2)<20
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B
5<(n1n2)>20
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C
5<(n1n2)<20
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D
0<(n1n2)<10
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Solution

The correct option is D 0<(n1n2)<10
Consider pitch of A = 440 Hz and examine what happens when second note is played. If the second note is at 450 Hz, you will hear one pitch at the average frequency of 445 Hz, but you will also hear beats at 10 Hz. This will not sound dissonant. However, if the second note has a frequency of 480 Hz, the sound will seem harsh and unpleasant and this is what is referred to as dissonance. There is a beat frequency at 40 Hz, but you cannot hear that distinctly. It is also hard to tell if there are two notes being played.
The maximum beats that can be heard distinctly is 10.

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