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The equation of plane progressive wave m...

The equation of plane progressive wave motion is `y=a sin (2pi)/lamda (vt-x)`. Velocity of the particle is

A

`y(dv)/(dx)`

B

`v(dy)/(dx)`

C

`-y(dv)/(dx)`

D

`-v(dy)/(dx)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The equation of a progressive wave is Y=asin(omegat-kx) , then the velocity of the wave is

    A
    `komega`
    B
    `k//omega`
    C
    `omega//k`
    D
    `aomega`
  • The equation of the progressive wave is y =a sin pi (nt -(x)/(5)) the ratio maximum paritcle velocity to wave velocity is

    A
    `(pi a)/(5)`
    B
    `(2pi a)/(5)`
    C
    `(3pi a)/(5)`
    D
    `(4pia)/(5)`
  • The equation of the progressive wave is y =a sin pi (nt -(x)/(5)) the ratio maximum paritcle velocity to wave velocity is

    A
    `(pi a)/(5)`
    B
    `(2pi a)/(5)`
    C
    `(3pi a)/(5)`
    D
    `(4pia)/(5)`
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    The equation of a plane progressive wave is given by the equation y=10 sin 2pi(t-0.005x) where y and x are in cm and t in seconds. Calculate the amplitude, frequency, wave length and velocity of the wave.

    The equation of a plane progressive wave is y=50sin2pi(4t-5x) . Where y and x are in an and t in seconds. Calculate the amplitude, frequency, wavelength and velocity of the wave.

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