Question

akash is currently tuning their guitar with the help of a tuning fork. the fifth string on the guitar is currently out of tune, and they would like to tune it to the correct value of . (you can assume the tuning fork is perfectly in tune.) when akash strikes the tuning fork and plucks the guitar string, they hear a beat with a frequency of . (a) what are the two possible frequencies the guitar string is currently at?

Answer 1

Akash hears beats when tuning a guitar string with a tuning fork; the string's frequency is either the sum or the difference of the fork's frequency and the beat frequency.

Step-by-step explanation:

When Akash is tuning their guitar with a tuning fork and hears a beat, they are experiencing the phenomenon of beat frequency. If the tuning fork has a known frequency and the string produces a beat frequency when played together with it, the string could be at one of two possible frequencies.

These frequencies are the sum or the difference of the tuning fork frequency and the beat frequency. For instance, if a 264 Hz tuning fork produces a beat frequency every 2 seconds (i.e., 0.5 Hz beat frequency), the string could be at 264.5 Hz (264 Hz + 0.5 Hz) or 263.5 Hz (264 Hz - 0.5 Hz).