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A sonometer wire of resonating length 90 ~cm has a fundamental frequency of 400 ~Hz when kept under some tension. The resonating length of the wire with fundamental frequency of 600 ~Hz under same tension _____ cm .

Correct answer

0

Step-by-step solution

aligned & f ₀=400 ~Hz ; v = T = constant & 2 = L ; v = f ₀ aligned aligned & v 2 f ₀ = L v =2 Lf ₀ & ~L ^ = v 2 f ^ = 2 Lf ₀ 2 f ^ & = Lf ₀ f ^ = 90 400 600 =60 aligned

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