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Q.

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.
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