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Let a wave \( y(x, t)=a \sin (k x-\omega t) \) is reflected from an open boundary and then the incident and reflected waves overlap. Then the amplitude of resultant wave is
(a) \( 2 a \cos k x \)
(b) \( 2 a \sin k x \)
(c) \( 2 a \sin \left(\frac{k x}{2}\right) \)
(d) \( a \sin k x \)
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