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Q.

A wave represented by the given equation y=a coskx-wt  is superposed with another wave to form a stationary wave such that the point x=0 is a node. The equation for the other wave is

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a

y=-a sinkx-wt

b

y= -a coskx+wt

c

y=-a coskx-wt

d

y=a sinkx+wt

answer is B.

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Detailed Solution

 y1= a coskx-ωt, if we take

y2 = -a coskx+ωt, then

y = y1 + y2 = 2asinkxcos ωt

     = Acos ωt

For x = 0, A = 0, which represents node.

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