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A 200 Hz tuning fork is sounded at the same time as a guitar string and a beat frequency of 4 Hz is heard. Which of the following could be the natural frequency of the guitar string? (a) 192 Hz, (b) 196 Hz, (c) 200 Hz, (d) 208 Hz, (e) 800 Hz.

Respuesta :

Explanation:

It is given that,

Frequency of the tuning fork, f₁ = 200 Hz

Beat frequency, [tex]f_b=4\ Hz[/tex]

The difference of frequencies is called the beat frequency of the tuning fork. It is given by :

[tex]|f_1-f_2|=4[/tex]

[tex]200-f_2=\pm 4[/tex]

[tex]f_2=196\ Hz[/tex]

or

[tex]f_2=200\ Hz[/tex]

So, the correct option is (b) "196 hertz". Hence, this is the required solution.

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