Question

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Q.33. A wire of length one metre under a certain initial tension emits a sound of fundamental frequency 256 Hz. When the tension is increased by 1 kg wt. frequency of the fundamental node increases to 320 Hz. The initial tension is
(1) 3/4 kg wt
(2) 4/3 kg wt
(3) 16/9 kg wt
(4) 20/9 kg wt

Answer 1

Dear Student,


$$\begin{gathered} f=\frac{1}{2l}\sqrt{\frac{T}{\mu }}formulaforthefrequency \\ l=1m, \\ 256=\frac{1}{2}\sqrt{\frac{T}{\mu }} \\ 320=\frac{1}{2}\sqrt{\frac{T+10}{\mu }} \\ \sqrt{\frac{T}{T+10}}=\frac{256}{320} \\ \frac{T}{T+10}=0.64 \\ 0.36T=6.4 \\ T=17.77N=1.77kgwt \\ opton3 \\ Regards \end{gathered}$$