Respuesta :
Answer:
The frequency of the string is 266 Hz
Explanation:
The frequency of the instrument is equal:
[tex]f_{inst} =f_{beat} +f_{fork}[/tex]
Where
fbeat = beat frequency = 4 Hz
ffork = frequency of the fork = 262 Hz
Replacing:
[tex]f_{inst} =4+262=266Hz[/tex]
The frequency of the mandolin strings is; f = 266 Hz
We are given;
Frequency of vibration of tuning fork; f_fork = 262 Hz
Now, the beats that are heard are called beat frequencies.
The beat frequency can be gotten from the formula is;
f_instrument = f_beat + f_fork
We are told that when the tuning fork is sounded along with a mandolin string, four beats are heard every second. Thus;
f_beat = 4 Hz
Thus;
f_instrument = 4 + 262
f_instrument = 266 Hz
In conclusion, the frequency of the strings is 266 Hz
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