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  • The linear density of a vibrating string is <img alt="10^{-4} \mathrm{~kg} / \mathrm{m}" src="https://entrancecorner.oncodecogs.com/gif.latex?10%5E%7B-4%7D%20%5Cmathrm%7B%7Ekg%7D%20/%20%5Cmathrm%7B

The linear density of a vibrating string is 10^{-4} \mathrm{~kg} / \mathrm{m}. A transverse wave is propagating on the string, which is described by the equation,

y=0.02 \sin (x+30 t) \text {. }

Then tension in the string is-

 

Option: 1

0.09 \mathrm{~N}


Option: 2

0.36 \mathrm{~N}


Option: 3

0.9 \mathrm{~N}


Option: 4

3.6 \mathrm{~N}


Answers (1)

best_answer

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

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Ritika Jonwal

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