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The plane wave represented by an eqution...

The plane wave represented by an eqution of the form y = f(x-vt) implies the propagation along the positive x-axis without chang of shape with constant velocity v. Then

A

`(dely)/(delt) = -v((dely)/(delx))`

B

`(dely)/(delt) = -v((del^(2)y)/(delx^(2)))`

C

`(del^(2)y)/(del^(2)t) = -v^(2)((del^(2)y)/(delx\^(2)))`

D

`(del^(2)y)/(delt^(2)) = -v^(2)((del^(2)y)/(delx^(2)))`

Text Solution

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The correct Answer is:
A, D
Standard equation
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Knowledge Check

  • A plane progressive wave propagating along positive x-axis is

    A
    `y=A sin ( omega t + kx)`
    B
    `y=A sin ( omega t - kx )`
    C
    `y=A sin (omega t - ky)`
    D
    `y=A sin omega t sin kx `

  • A wave is represented by the equation y=0.5 sin (10 t-x)m . It is a travelling wave propagating along the + x direction with velocity

    A
    `10 m//s`
    B
    `20 m//s`
    C
    `5 m//s`
    D
    None of these

  • A wavefront is represented by the plane y = 3 - x . The propagation of wave takes place at

    A
    `45^@` with x - direction
    B
    `135^@C` with x-direction
    C
    `60^@` with x-direction
    D
    No sufficient data