The displacement of a particle in a medium due to a wave travelling in the \( x \)-direction thr...

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The displacement of a particle in a medium due to a wave travelling in the \( x \)-direction through the medium is given by \( y=A \sin (\alpha t-\beta x) \), where \( t= \) time, and \( \alpha \) and \( \beta \) are constants :
(A) The frequency of the wave is \( \alpha \)
(B) The frequency of the wave is \( \alpha /(2 \pi) \)
(C) The wavelength is \( (2 \pi) / \beta \)
(D) The velocity of the wave is \( \alpha / \beta \)
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