Question

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

Answer 1

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

(3) and (4) is correct option.

Step-by-step 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

`f'=f_(1)-f`...(I)

`f'=f_(1)+f`...(II)

Where, f= beat frequency

f₁ = frequency

Put the value in both equations

`f'=462-5=457\ Hz`

`f'=462+5=467\ Hz`

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