A progressive wave travelling along the positive x-direction is represented by y(x,t)=A\sin(kx-wt+\phi ). Its snapshot at t=0 is given in the figure.

For this wave, the phase \phi is :

  • Option 1)

    0

  • Option 2)

    -\frac{\pi}{2}

  • Option 3)

    \frac{\pi}{2}

  • Option 4)

    \pi

 

Answers (1)

 

Travelling Wave Equation -

y=A \sin \left ( Kx-\omega t \right )
 

- wherein

K=2\pi /\lambda

\omega = \frac{2\pi }{T}

\lambda =  wave length

T = Time period of oscillation

 

 

y=A\sin(kx-wt+\phi)

at x=0, t=0, y=0

and slope is negative

\Rightarrow \phi=\pi


Option 1)

0

Option 2)

-\frac{\pi}{2}

Option 3)

\frac{\pi}{2}

Option 4)

\pi

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