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  4. A string of mass 3 kg is under tension of 400 N The length of the stretched string is 25 cm . If the transverse jerk is stuck at one end of the string how long does the disturbance take to reach the other end?

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Q. A string of mass $ 3\,kg $ is under tension of $ 400\,N $ The length of the stretched string is $ 25\,cm $ . If the transverse jerk is stuck at one end of the string how long does the disturbance take to reach the other end?

J & K CETJ & K CET 2014Oscillations

Solution:

Speed of the wave $ =\sqrt{\frac{T}{\mu }}=\sqrt{\frac{500}{m/I}} $
$ =\sqrt{\frac{\frac{400}{3}}{0.25}}=\sqrt{\frac{400\times 25}{3\times 100}} $
$ =5.77 $ $ \Rightarrow $ So time taken by disturbance to reach after end
$ =\frac{0.25}{5.77}=0.043\,s=0.47 $