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Q.

A wave represented by the equation y=acos⁡(kx−ωt) is superposed with another wave to from a stationary wave such that the point x=0 is a node. The equation for the other wave is

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a

asin⁡(kx+ωt)

b

−acos⁡(kx+ωt)

c

−acos⁡(kx−ωt)

d

−αsin⁡(kx−ωt)

answer is B.

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Detailed Solution

y=y1+y2 =acos⁡(kx−ωt)−acos⁡(kx+ωt) this gives y=0 for x=0
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