Home
Class 11
PHYSICS
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?

Text Solution

Verified by Experts

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`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A string of mass 2.5 kg is under a tension of 200N. The length of stretched stirng is 20m. If a transverse jerk is struck at one end of the string, how long the disturbance take to reach the other end ?

A string 50 cm long is under a tension of 20N force. Caculate the frequency of fundamental mode given that mass of the string is 1 g.

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

    • Similar Questions

    Explore conceptually related problems

    A string 50 cm long is under a tension of 20N force. Caculate the frequency of fundamental mode given that mass of the string is 1 g.

    A uniform string of length 6.5 m is subjected to a tension of 40 N . Mass of the string is 162.5 g . One end of the string is fixed and the other end is tied to a source (s). which produces a transverse oscillation. The displacement of the end of the string tied to the source can be expressed as y = (3 mm) sin (40 pi t) , where ‘t’ is time. Find the displacement of point P of the string at a distance of 3.75 m from the fixed end, at time t = 0.3 s .

    A string of length 0.4 m and mass 10^(-2) kg is clamped at its ends. The tension in the string is 1.6 N. When a pulse travels along the string the shape of the string is found to be the same at times t and t+trianglet . The value trianglet is

    A string is stretched by a force of 40 newton. The mass of 10 m length of this string is 0.01 kg. the speed of transverse waves in this string will be

    A string of length 0.5m and linear density 10^(-4) kg/m is stretched under a tension of 100 N. If the frequency of the vibration of the string is 4000 Hz, how many loops are formed on the string?

    Home
    Profile