Home
Class 11
PHYSICS
A string of mass 2.50kg is under a tensi...

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 ?

Text Solution

Verified by Experts

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 `
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WAVES

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTIONS WITH ANSWERS|11 Videos

  • UNITS AND MEASUREMENTS

    SUBHASH PUBLICATION|Exercise NUMERICALS WITH SOLUTIONS|13 Videos

  • WORK, POWER AND ENERGY

    SUBHASH PUBLICATION|Exercise NUMERICALS WITH SOLUTIONS|33 Videos

Similar Questions

Explore conceptually related problems

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

A steel wire 0.72 m long has a mass of 5.0 xx 10^(-3) kg . If the wire is under a tension of 60 N. What is the speed of transverse waves on the wire ?

Knowledge Check

  • A uniform rope of length 12 metres and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end. A transverse pulse of wavelength 0.06 metre is produced at the lower end of the rope. What is the wavelength of the pulse when it reaches the top of the rope ?

    A
    `0.6` metre
    B
    `0.03` metre
    C
    `0.12` metre
    D
    `0.09` metre.

  • A 5.5 m length of string has a mass of 0.035 kg. If the tension in the string is 77 N, the speed of a wave on the string is :

    A
    `110" ms"^(-1)`
    B
    `165" ms"^(-1)`
    C
    `77" ms"^(-1)`
    D
    `102^(-1)`

  • A string of length 0.4 m and mass 10^(-2) kg is rigidly clamped at its ends. The tension in the string is 1.6 N. Identical wave pulses are produced at one end at equal intervals of time Delta t . The minimum value of Delta t which allows constructive interference between successive pulses is :

    A
    0.05 s
    B
    0.10 s
    C
    0.20 s
    D
    0.40 s

    • Similar Questions

    Explore conceptually related problems

    A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 m s^(-1) . What is the trajectory of the bob if the string is cut when the bob is (a) at one of its extreme positions, (b) at its mean position.

    A string of length 0.4 m and mass 10^(-2) kg is tightly clamped at its ends. The tension in the string is 1.6 N. Identical wave pulses are produced at one end in equal intervals of times Delta t. the minimum value of Delta t, which allows constructive interference between successive pulses , is :

    A string of 0.3 m length is found to resonate in 3 segments (nodes at both ends ) when the driving frequency is 20 Hz. The speed of the wave in the spring is :

    Each of the two strings of length 51.6 cm and 49.1 cm are tensioned separately by 20 N force. Mass per unit length of both the strings is same and equal to 1 g/m. When both the strings vibrate simultaneously the number of beats is :

    A body of mass 13 kg is suspended by two strings of length 5 cm and 12 cm . The other ends of the strings are tied to two pegs 13 cm apart along a horizontal line . The tensions in the strings are

    Home
    Profile