What is the frequency of an instrument if it is played with a tuning fork having a frequency of 386 Hz and it produces a 2 Hz beat frequency, and when played with a 381 Hz tuning fork it produces a beat frequency of 3 Hz? Number Units

College Physics
11th Edition
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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What is the frequency of an instrument if it is played with a tuning fork having a frequency of 386 Hz and it produces a 2 Hz beat frequency, and when played
with a 381 Hz tuning fork it produces a beat frequency of 3 Hz?
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Transcribed Image Text:What is the frequency of an instrument if it is played with a tuning fork having a frequency of 386 Hz and it produces a 2 Hz beat frequency, and when played with a 381 Hz tuning fork it produces a beat frequency of 3 Hz? Number Units
Expert Solution
Step 1

Frequency of first tuning fork = 386 Hz 

Beat frequency = 2 Hz 

Thus, possible frequencies of instrument = 386+2 or 386-2 

 = 388 Hz or 384 Hz 

 

Step 2

Frequency of first tuning fork = 381 Hz 

 

Beat frequency = 3 Hz 

 

Thus, possible frequencies of instrument = 381+3 or 381-3

 

 = 384 Hz or 378 Hz

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