A wave motion has the function y=a0sin(ω t−kx). The graph in 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
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a
P
b
Q
c
R
d
S
answer is B.
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Detailed Solution
At t = 0 and x=π2k. The displacementy=a0sin ω0−k×π2k=−a0sinπ2=−a0from graph. Point of maximum displacement (a0) in negative direction is Q.