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Question

A wave motion has the function y=aosin(ωtkx). 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 B Q
The equation of wave is,
y=aosin(ωtkx)
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, ydirection. Hence point Q correctly represents it.
Option (b) is correct.

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