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 _

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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 .

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Frequency of sonometer wire is given by, f = 1 2 L T μ Therefore, f 1 = 1 2 6 μ f 2 = 1 2 54 μ Hence, f 1 f 2 = 1 3 Also it is given that, f 2 - f 1 = 12 So, f 1 = 6 Hz .

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 .

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