A wave motion has the function y=aosin(ωt−kx). The graph in figure shows how the displacement y at a fixed point varies with time t. Which one of the labelled points represents the same displacement as will be 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 BQ The equation of wave is, y=aosin(ωt−kx) At t=0 and position x=π2k, from above equation we get y=aosin(−π2)=−ao ∴ At position x=π2k, displacement of the point is y=−ao This is equal to amplitude of wave but displacement is along −ve,y−direction. Hence point Q correctly represents it. ⇒Option (b) is correct.