# 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) $\pi$

S solutionqc

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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