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 5.0 hz. one of the violinists measures with an electronic tuner and finds her a string is at 462 hz. what are the possible frequencies for the a string of the other violinist? (multiple answers)

462 hz
452 hz
457 hz
467 hz
472 hz

The possible frequencies for the A string of the other violinist is 457 Hz and 467 Hz.

(3) and (4) is correct option.

Explanation:

Given that,

Beat frequency f = 5.0 Hz

Frequency f'= 462 Hz

We need to calculate the possible frequencies for the A string of the other violinist

Using formula of frequency

...(I)

...(II)

Where, f= beat frequency

f₁ = frequency

Put the value in both equations

Hence, The possible frequencies for the A string of the other violinist is 467 Hz and 457 Hz.

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a and b sometimes have a positive value