The equation of a wave on a string of linear mass density

Question:

The equation of a wave on a string of linear mass density $0.04 \mathrm{~kg} \mathrm{~m}^{-1}$ is given by

$\mathrm{y}=0.02(\mathrm{~m}) \sin \left[2 \pi\left(\frac{\mathrm{t}}{0.04(\mathrm{~s})}-\frac{\mathrm{x}}{0.50(\mathrm{~m})}\right)\right]$. The tension in the string is :

 

  1. $6.25 \mathrm{~N}$

  2. $4.0 \mathrm{~N}$

  3. $12.5 \mathrm{~N}$

  4. $0.5 \mathrm{~N}$


Correct Option: 1

Solution:

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