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Mechanical Properties Of Fluids

Question
CBSEENPH11018752

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

Solution

Velocity of wave in stretched string is given by, 
                           straight v equals square root of straight T over straight m end root 
where,
T is the tension, and 
m is the mass per unit length.
If Error converting from MathML to accessible text. is length of string then time taken by wave to reach the other end of string is, 
straight t equals ell over straight v equals ell square root of straight m over straight T end root 
We have,
ell equals 20 straight m comma space space space space space space space space space space space space space space straight T equals 200 straight N 
 straight m over ell equals fraction numerator 2.5 over denominator 20 end fraction equals 1 over 8 kg divided by straight m 
Therefore,
Time taken to reach the other end of the string is,
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