A tuning fork is known to vibrate with frequency 262 Hz. When it is sounded along with a mandolin string, four beats are heard every second. Next, a bit of tape is put onto each tine of the tuning fork, and the tuning fork now produces five beats per second with the same mandolin string. What is the frequency of the string?

The frequency of the string is 266 Hz

Explanation:

The frequency of the instrument is equal:

Where

fbeat = beat frequency = 4 Hz

ffork = frequency of the fork = 262 Hz

Replacing:

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explanation: