Question

An "E" tuning fork with a frequency of 329 Hz is used to test the "E" note of a piano. Four beats are heard. This means _____.

The piano key is in tune.
The piano key is out of tune and has a frequency of 333 Hz.
The piano key is out of tune and has a frequency of 325 Hz.
The piano key is out of tune and has a frequency of either 325 or 333 Hz.

Answer 1

The piano key is out of tune and has a frequency of either 325 or 333 Hz.
Either one would produce 4 beats per second with a 329 Hz tuning fork.

Answer 2

Answer: The piano key is out of tune and has a frequency of either 325 or 333 Hz

Step-by-step explanation:

if they were in tune there would be no beats since beats are heard therefore piano key cannot be in tune.

when two sound waves are producing sound , number of beats b=n±m ,where n and m are the frequencies of two sound instruments . where we have n=329 , b=4 therefore

frequency of piano key m=329±4=329-4 or 329+4 that is 325 or 333