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A stringof mass 2.50 kg is under a tensi...

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

Text Solution

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Here` M = 2.50 kg,T =200N, l = 20.0 M `
Mass per unit length, `mu =( M)/(I) =( 2.5)/( 20.0)`
`= 0.125kg//m`
Velocity `V = sqrt((T)/( mu )) = sqrt((200)/9 0.125)) = 40 m //s`
Time taken by disturbance to reach the other end
`t = ( l )/(V ) = (20)/(40) =0.5 s `.
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