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A string of mass 2.50 kg is under a ten...

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 ?

Text Solution

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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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