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

A string of mass 2.50kg is under a tension os 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?

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Tension, T=200 N,
Length, ,=20.0 m , Mass ,M=2.50 kg
Mass per unit length, `mu=(250)/(20.0) kg m^(-1)=0.125 kgm^(-1)`
Wave velocity `v=sqrt((T)/(mu))=sqrt((200 N)/(0.125 kg m^(-1)))`
or `v=sqrt(1600) ms^(-1)=40 m s^(-1)`
Time, `t=(1)/(v)=(200)/(40)s=(1)/(2)s=0.5 s`
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Knowledge Check

  • A string of mass 3 kg is under tension of 400 N. the length of the stretched strin is 25 cm. iff the transverse jerk is stuck at tone end of the string how long does the disturbance take to reach the other end?

    A
    0.043s
    B
    4.33S
    C
    0.055 s
    D
    0.034 s
  • A string of mass 0.250 kg is under a tension of 2 N. The length of the stretched string is 2 m. A transverse wave disturbance starts at one end of the string . How long will the disturbance take to reach the other end ?

    A
    `1,5` s
    B
    `1. 5` s
    C
    1 s
    D
    `0.5` s
  • A string of length 10.0 m and mass 1.25kg stretched with a tension of 50N. If a transverse pulse is created at one end of the string, how long does it take to reach the other end ?

    A
    0.5s
    B
    1.0s
    C
    1.5s
    D
    2.0s
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