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PhysicsMediumNumerical2024 · 01 Feb Shift 1

Q24.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 .

What This Question Tests

The question combines the concept of frequency of vibration of a stretched string (sonometer wire) with the phenomenon of beats. It requires solving for an unknown frequency using two different tension conditions.

Concepts Tested

Frequency of a stretched stringBeat frequencyResonance

Formulas Used

f = (1/2L) * sqrt(T/μ)

f_beat = |f_1 - f_2|

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