Question

You have 2 tuning forks in your hands; one plays the note D (297 Hz) and the other plays the note A (220 Hz). Your classmate plays a third fork with an unknown note and listens to the new combined frequency. Assuming that you can measure the combined frequency like 275 Hz when all three forks are played simultaneously, which of the following notes is most likely to correspond to the mysterious tuning fork

a. C (264 Hz)

b. F (352 Hz)

Answer 1

2 tuning forks in your hands with frequencies (297 Hz) and (220 Hz).

a third fork with an unknown frequency f..

when all three forks are played combined,

frequencies can add up or subtracted from each other and give resultant frequency. I used trial and error method to get combined frequency.

1. f - 297 + 220 = 275

will give f = 352 hz

2. 297+220 -f = 275

Will give f= 242 hz

So most most likely to correspond to the mysterious tuning fork would be b) F (352Hz)..