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

Explanation

Given `M = 2.50 kg, T= 200 N, L = 20.0 m`
`mu =( M)/( L ) = ( 2.5)/( 20.0) = 0.125kgm^(-1)`
velocity of wave in the string `v= sqrt((T)/( mu ))`
i.e., `v = sqrt((200)/( 0.125))= 40ms^(-1)`
Time taken by the wave to reach the other end of the string `= ( L)/( v) = (20)/( 40)`
`t = 0.5 s `