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Please solve the given question "":

We have a formula for fundamental frequency,

f = \frac{1}{2 l} \sqrt{\frac{T}{m}} = \frac{1}{2 l} \sqrt{\frac{T}{\frac{{πD}^{2}}{4} \times 1 \times ρ}} Or f = \frac{1}{lD} \sqrt{\frac{T}{πρ}} n_{B} = \frac{1}{lD} \sqrt{\frac{T}{πρ}} n_{A} = \frac{1}{(2 l) (2 D)} \sqrt{\frac{2 T}{π (2 ρ)}} = \frac{1}{4 lD} \sqrt{\frac{T}{πρ}} So, n_{A} = \frac{1}{4} n_{B} Or n_{B} = 4 n_{A}

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