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VERN HART. Created for Albert.io. Copyright 2016. All rights reserved.

Tuning forks are used to tune musical instruments and ensure they are producing the correct notes. A tuner will strike the fork and play the note at the same time. If the two frequencies are not the same, a periodic "beating" sound will be heard.

Suppose a 261.6 Hz tuning fork is struck while middle C (which is supposed to be 261.6 Hz) is played on a piano. However, a beat frequency of 30 Hz is observed.

Assuming the fork makes the correct sound, which of the following must be true?

A

The frequency of the piano key is 291.6 Hz.

B

The frequency of the piano key is 231.6 Hz.

C

The frequency of the piano key is 261.6 Hz.

D

The frequency of the piano key could either be 231.6 or 291.6, depending on whether its pitch is higher or lower than the tuning fork.

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