A sonometer wire of resonating length 90 cm has a fundamental frequency of 400 Hz under a certain tension. Under the same tension, the resonating length for a fundamental frequency of 600 Hz is cm.

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Accepted Answer

60. At fixed tension and linear density, f∝1/L, so f₁L₁=f₂L₂. L₂=(400×90)/(600)=60 cm.

A sonometer wire of resonating length 90 cm has a fundamental frequency of 400 Hz under a certain tension. Under the same tension, the resonating length for a fundamental frequency of 600 Hz is ______ cm.

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