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  4. A string wave equation is given y = 0.002 sin (300t - 15x) and mass density is (μ=(0.1 kg/m)) . Then find the tension in the string

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Q. A string wave equation is given y = 0.002 sin (300t - 15x) and mass density is $\left(\mu=\frac{0.1 kg}{m}\right)$ . Then find the tension in the string

AIIMSAIIMS 2019

Solution:

In string wave speed is
$V=\sqrt{\frac{T}{\mu}}$
$T=mV^{2}$
$T=.1\times20\times20=40 N$
$V=\frac{\omega}{k}=\frac{300}{15}=20 $ M/S