A wave travelling in the positive \( x \)-direction having displacement along \( y \)-direction ...

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A wave travelling in the positive \( x \)-direction having displacement along \( y \)-direction \( 1 \mathrm{~m} \), wavelength \( (2 \pi) \mathrm{m} \) and frequency of \( (1 / \pi) \mathrm{Hz} \) is represented by
(a) \( y=\sin (x-2 t) \)
(b) \( y=\sin (2 \pi x-2 \pi t) \)
(c) \( y=\sin (10 \pi x-20 \pi t) \)
(d) \( y=\sin (2 \pi x+2 \pi t) \)
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