question archive To tune a guitar string to 329 Hz, you compare its frequency with a 329-Hz tuning fork
To tune a guitar string to 329 Hz, you compare its frequency with a 329-Hz tuning fork
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To tune a guitar string to 329 Hz, you compare its frequency with a 329-Hz tuning fork. Initially, you hear a beat frequency of 5 Hz. Then you slowly tighten the guitar string, which increases its frequency. As a result, the beat frequency decreases steadily to 3 Hz. What are the initial and final frequencies of the guitar string?
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Answer:
Beat frequency is the difference of the frequencies .
Given frequency of tuning fork = 329 Hz
Also increasing the tension increases the frequency
Therefore as for the first case as the beat frequency is 5 Hz ,
Therefore the initial frequency of the guitar = 329- 5 =324 Hz
With the increase in tension there is increase in frequency therefore for beat frequency of 2 Hz as beat frequency decreases by 3 Hz
Frequency of the guitar is = 329-2 = 327 Hz
