The displacement of the wave is given by equation \( y(x, t)=a \sin (k x-\omega t+\phi) \). Taki...

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The displacement of the wave is given by equation \( y(x, t)=a \sin (k x-\omega t+\phi) \). Taking \( \phi=0 \) at point \( x \) and \( t=0 \), the displacement is \( y^{\prime} \). The point at which the displacement is same as that of \( x \) is
(a) \( x+2 n \pi \)
(b) \( x+\frac{2 n \pi}{k} \)
(c) \( k x+2 n \pi \)
(d) Both (a) and (b)
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