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A wave motion has the function $y = a_{0} \sin (ω t - k x)$ . The graph in figure shows the variation of displacement y at a fixed point with time t. Which one of the labelled points shows a displacement equal to that at the position $x = \frac{π}{2 k}$ at time $t = 0$

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answer is B.

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Detailed Solution

$y = a_{0} \sin (ω t - k x)$

$At t = 0$

$y = a_{0} \sin (- k x)$

$Put x = \frac{π}{2 x}$

$y = a_{0} \sin (- k . \frac{π}{2}) = - a_{0}$

$\Rightarrow P t' Q' is at - v e maximum$

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