A wave motion has the function y = a0sin(ωt-kx). The graph in figure shows how the displacement y at a fixed point varies with time l. 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 displacement y = a0sin(ω0-k×π2k) = -a0sin π2 = -a0 from graph. Point of maximum displacement (a0) in negative direction is Q.