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A sonometer wire is vibrating in resonance with a tuning fork.

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A sonometer wire is vibrating in resonance with a tuning fork. Keeping the tension applied same, the length of the wire is doubled. Under what conditions would the tuning fork still be is resonance with the wire?

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Wire of twice the length vibrates in its second harmonic. Thus if the tuning fork resonaters at L, it will resonate at 2L.

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