Home
Class 12
PHYSICS
At t=0, transverse pulse in a wire is de...

At t=0, transverse pulse in a wire is described by the function
`y=(6)/(x^(2)+3)`
where x and y are in metres. Write the function `y(x,t)` that describe this plus if it is travelling in the positive x-direction with a speed of `4.50 m//s`.

Text Solution

Verified by Experts

The correct Answer is:
`(6)/((x-4.5t)^(2) + 3)`
`y = (6)/(x^(2) + 3) = f(x)`
As `y(x, t) = f(x - vt) = (6)/((x-4.5t)^(2) + 3)`
Promotional Banner

Topper's Solved these Questions

  • WAVE ON STRING

    RESONANCE ENGLISH|Exercise Board Level Exercise|27 Videos

  • WAVE ON STRING

    RESONANCE ENGLISH|Exercise Exercise- 1 PART I|23 Videos

  • WAVE ON STRING

    RESONANCE ENGLISH|Exercise Exercise- 3 PART II|7 Videos

  • TRAVELLING WAVES

    RESONANCE ENGLISH|Exercise Exercise- 3 PART I|19 Videos

  • WAVE OPTICS

    RESONANCE ENGLISH|Exercise Advanced Level Problems|8 Videos

Similar Questions

Explore conceptually related problems

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

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 ?

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 ?

At t=0, the shape of a travelling pulse is given by y(x,0)=(4xx10^(-3))/(8-(x)^(-2) where x and y are in metres. The wave function for the travelling pulse if the velocity of propagation is 5 m//s in the x direction is given by

A wave disturbance in a medium is described by y(x, t) = 0.02 cos(50pit + (pi)/(2))cos(10pix) where x and y are in meter and t is in second

A motion is described by y = 3e^x.e^(-3t) where y,x arc in metrd and t is in seconds.

A motion is described by Y = 4e^(x) (e ^- (5t)) , Where y,x are in meters and t is in second .

The wave described by y = 0.25 "sin"(10 pi x - 2pit) , where x and y are in metres and t in seconds , is a wave travelling along the:

A wave pulse is described by y(x, t) = ae^-(bx - ct)^(2) , where a,b,and c are positive constants. What is speed of this wave?

The wave described by y = 0.25 sin ( 10 pix -2pi t ) where x and y are in meters and t in seconds , is a wave travelling along the