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The linear density of a vibrating string is 10-4 kg/m A transverse propagating on the string, which is described by the equation y=0.02sin(x+30t) where x and y are in metre and the time t in second. The tension in the string is-

Option: 1

0.09N


Option: 2

0.36N


Option: 3

0.9N


Option: 4

3.6N


Answers (1)

best_answer

Use,\ \ v=\frac{\omega}{k}=\sqrt{\frac{T}{\mu}}\\ $$ \begin{aligned} \therefore \quad T & =\mu \sqrt{\frac{\omega}{K}}=10^{-4}\left(\frac{30}{1}\right)^2 \\ T & =0.09 \mathrm{~N} \end{aligned}

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Ajit Kumar Dubey

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