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Question
A piano tuner uses a 512-Hz tuning fork to tune a piano. He strikes the fork and hits a key on the piano and hears a beat frequency of 5 Hz. He tightens the string of the piano, and repeats the procedure. Once again he hears a beat frequency of 5 Hz. What happened?
Solution
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1 of 61 Concepts and Principles
1- The phenomenon of is the periodic variation in intensity at a given point due to the superposition of two waves having slightly different frequencies. The beat frequency is:
where and are the frequencies of the individual waves.
2- : the boundary conditions determine which standing-wave frequencies are allowed. For waves on a string, there must be nodes at both ends. The wavelengths and natural frequencies of normal modes are given by:
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