1.

A string of mass 2.50 kgis 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 ?

Answer»

SOLUTION :Speed of TRANSVERSE wave in a string is,
`v = sqrt ((T)/(mu)) = sqrt ((TL)/(M)) ""(because mu = (M)/(L))`
If time taken by distubance to travel from one to another end of string is t then, br> `v= L/t` (Where L= length of string)
Comparing above two equations,
`L/t = sqrt((TL)/(M)) implies t =L sqrt ((M)/(TL))`
`THEREFORE t = sqrt ((ML)/(T)) = sqrt ((2.5 xx 20)/(200)) = 1/2 =0.5s`


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