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Two violinists are trying to play in tune. However, whenever they play their A string at the same time they hear a beat frequency of 3.0 Hz. One of the violinists measures with an electronic tuner and finds her A string is at 422 Hz. What are the possible frequencies for the A string of the other violinist?

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Answer:

the possible frequencies for the A string of the other violinist is 419 Hz

Explanation:

given information:

[tex]f_{beat}[/tex] = 3 Hz

the frequency of the first violinist [tex]f_{1}[/tex] = 422 Hz

to find the possible frequency of the other violinist, we use the following equation':

[tex]f_{beat}[/tex] = l [tex]f_{1}[/tex] - [tex]f_{2}[/tex] l

3 = l 422 - [tex]f_{2}[/tex] l

[tex]f_{2}[/tex] = 422 - 3

[tex]f_{2}[/tex] = 419 HZ

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