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A vibrating string produces 2 beats per ...

A vibrating string produces 2 beats per secod when sounded with a turning fork of frequency `256Hz`. Slightly increasing the tension in the string produces 3 beats per second. The initial frequency of the string may have been

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A tuning fork of frequency 256 Hz produces 4 beats per second when sounded with a stringed instrument. What is the frequency produced by the instrument?