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A tuning fork resonates with a sonometer wire of length 1 m stretched with a tension of 6 N. When the tension in the wire is changed to 54 N, the same tuning fork produces 12 beats per second with it. The frequency of the tuning fork is Hz.
6
f = 12L T f T
f2 = f1 546 = 3f1
fork frequency = f1 (resonance at 6 N): beats = f2 - f1 = 2f1 = 12
f1 = 6 Hz
Answer: 6
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