Home
Class 11
PHYSICS
A wave pulse on a horizontal string is r...

A wave pulse on a horizontal string is represented by the function
`y(x, t) = (5.0)/(1.0 + (x - 2t)^(2))` (CGS units)
plot this function at `t = 0 , 2.5` and `5.0 s`.

Text Solution

Verified by Experts

At the given times the function repressenting the wave pulse is
` y(x, 0)=(5.0)/(1.0 + x^(2))`
`y(x, 2.5 s) =(5.0)/(1.0 + (x- 5.0)^(-2)`
`y(x, 5.0 s) =(5.0)/(1.0 +(x - 10.0)^(2)`

The maximum of `y(x, 0) is `5.0 cm`, at `t = 0`, it is located at `x = 0`. At `t =2.5` and `5.0 s`, the maximum of the pulse has moved to `x= 5.0` and `10.0 cm`, respectively. So, in each `2.5 s` time intervel, the pulse moves `5.0 cm` in the positive x-direction. Its velocity is therefore ` +2.0 cm//s`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WAVE MOTION

    DC PANDEY|Exercise Exercise 17.1|4 Videos

  • WAVE MOTION

    DC PANDEY|Exercise Exercise 17.2|2 Videos

  • WAVE MOTION

    DC PANDEY|Exercise Example Type 5|1 Videos

  • VECTORS

    DC PANDEY|Exercise Medical enrances gallery|9 Videos

  • WORK, ENERGY & POWER

    DC PANDEY|Exercise Level 2 Comprehension Based|2 Videos

Similar Questions

Explore conceptually related problems

A pulse travelling on a string is represented by the function y=a^3/((x-vt)^2+a^2) where a=5 mm and v=20 cms^-1. Sketch the shape of the string at t=0, 1 s and 2s. Take x=0 in the middle of the string.

If at t = 0 , a travelling wave pulse in a string is described by the function, y = (10)/((x^(2) + 2 )) Hence, x and y are in meter and t in second. What will be the wave function representing the pulse at time t , if the pulse is propagating along positive x-axix with speed 2 m//s ?

Knowledge Check

  • A wave is represented by the equation y=(0.001mm)sin[(50s^-10t+(2.0m^-1)x]

    A
    The wave velocity `=100 ms^-1`
    B
    The wavelength =2.0m
    C
    the frequencey `=25/piHz`
    D
    The amplitude `=0.001mm

  • The amplitude of a wave represented by the equation y=3sin(5x-0.5t)+4cos(5x-0.5t) , is

    A
    7
    B
    4
    C
    3
    D
    5

  • If at t = 0 , a travelling wave pulse on a string is described by the function. y = (6)/(x^(2) + 3) What will be the waves function representing the pulse at time t , if the pulse is propagating along positive x-axis with speed 4m//s ?

    A
    `y=(6)/(x+4t)^(2) +3`
    B
    `y=(6)/(x - 4t)^(2) +3`
    C
    `y =(6)/(x - t)^(2)`
    D
    `y =(6)/(x - t)^(2)+12`

    • Similar Questions

    Explore conceptually related problems

    If at t = 0, a travelling wave pulse on a string is described by the function Y = 6/( x^2 + 3) . What will be the wave function representing the pulse at time t, if the pulse is propagating along positive x-axis with speed 4 m/s?

    A wave pulse is travelling on a string at 2 m/s. displacement y of the particle at x = 0 at any time t is given by y=2/(t^2+1) Find (ii) Shape of the pulse at t = 0 and t = 1s.

    A wave pulse is travelling on a string at 2 m/s. displacement y of the particle at x = 0 at any time t is given by y=2/(t^2+1) Find (i) Expression of the function y = (x, t) i.e., displacement of a particle position x and time t.

    The greatest value of the function F(x)= int_(4)^(x) (t^(2) -8t+16) dt on [0,5] is

    At t=0, a transverse wave pulse in a wire is described by the function y=6//(x^(2)-3) where x and y are in metres. The function y(x,t) that describes this wave equation if it is travelling in the positive x direction with a speed of 4.5 m//s is

    Home
    Profile