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A note produces 5 beats per second with ...

A note produces 5 beats per second with a tuning fork of frequency 480Hz. What is the frequency of the note given that it produces 7 beats with 482Hz?

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Number of beats heard per second with 480Hz is 5
So unknown frequency `=480 pm 5 =485 or 475 Hz`
Number of beats heard per second with 482 Hz is 7
So unknown frequency `=482 pm 7=489 or 475 Hz`
475 Hz is the common frequency in the two cases. So the unknown frequency is 475 Hz.
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