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Perception of Sound

A piano tuner...

Question

A piano tuner has a tuning fork that sounds with a frequency of 250 Hz. The tuner strikes the fork and plays a key that sounds with a frequency of 200 Hz. What is the frequency of the beats that the piano tuner hears?

A

0 Hz

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B

0.8 Hz

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C

1.25 Hz

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D

50 Hz

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E

450 Hz

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Solution

The correct option is D 50 Hz
The beat frequency is the difference in frequency of two sound waves i.e $f = | f_{1} - f_{2} | = | 250 - 200 | = 50$ Hz

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