A wave motion has the function $y = a_{0}\sin{(\omega t - kx)}.$ 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 $x = \frac{\pi}{2k}$ at time $t = 0$

Question

Dr. Abubacker · Accepted Answer

(b) At $t = 0$ and $x = \frac{\pi}{2k}.$ The displacement
$y = a_{0}\sin{\left( \omega x_{0} - k 	imes \frac{\pi}{2x} ight) = - a_{0}\sin{\frac{\pi}{2} = - a_{0}}}$
from graph. Point of maximum displacement $(a_{0})$ in negative direction is $Q$

Q. A wave motion has the function $y = a_{0}\sin{(\omega t - kx)}.$ 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 $x = \frac{\pi}{2k}$ at time $t = 0$

Explanation

Reviewed by Dr. Abubacker

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