The wave motion has the function y=a0sin(ωt−kx). The graph in the figure shows how the displacement y at a fixed point varies with time t. Which one of the labelled points shows a displacement equal to that at the position x=π2k at time t = 0?
A
P
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B
Q
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C
R
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D
S
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Solution
The correct option is B Q Given y=a0sin(ωt−kx) Put t = 0 and x=π2k y=a0sin(ω×0−kπ2k)⇒y=−a0 This corresponds to point Q.