A tuning fork produced four beats per second with a second, 270-Hz tuning fork. What are the two possible frequencies of the first tuning fork?

frequency of the first tuning fork can be 274 Hz or 266 Hz

Explanation:

Given data:

we have number of beats per second = 4

thus, it can also be written as

Beat frequency of the tuning fork, v = 4 Hz

Frequency of the tuning fork, f = 270 Hz

now, the beat frequency is actually the difference of the consecutive frequency.

thus, we have

Frequency of the first tuning fork as = 270 Hz + 4 Hz = 274 Hz

or

Frequency of the first tuning fork as = 270 Hz - 4 Hz = 266 Hz

Therefore, the frequency of the first tuning fork can be 274 Hz or 266 Hz