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  • A string of mass 2.50 kg is under a tension of 200 N. The length of the stretched string is 20.0 m. If the transverse jerk is struck at one end of the string, how long does the disturbance take to reach the other end?

Q.15.1 A string of mass 2.50 \; kg is under a tension of 200\; N. The length of the stretched string is 20.0 \; m. If the transverse jerk is struck at one end of the string, how long does the disturbance take to reach the other end?

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Mass per unit length of the string is

\\\mu =\frac{M}{l}\\ =\frac{2.50}{20}\\ =0.125\ kg\ m^{-1}

The velocity of the transverse wave in the string will be

\\v=\sqrt{\frac{T}{\mu }}\\ =\sqrt{\frac{200}{0.125}}\\ =\sqrt{1600} \\=40\ m\ s^{-1}

Time taken by the disturbance to travel from one end to the other is

\\t=\frac{l}{v}\\ =\frac{20}{40}\\ =0.5\ s

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