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A wave motion has the function \mathrm{y=a_0 \sin (\omega t-k x)}. The graph in figure in following, shows how the displacemen y at a fixed poinnt varies with time t. Which one of the labelled points shows a displacement equal to that at the position  

\mathrm{x=\pi / 2 k \text { at time } t=0 \text { ? }}

Option: 1

P


Option: 2

Q


Option: 3

R


Option: 4

S


Answers (1)

best_answer

\mathrm{ \text { At } t=0 \text { and } x=\pi / 2 k }

Displacement , \mathrm{ \begin{aligned} & y=a_0 \sin \left(-k \times \frac{\pi}{2 x}\right) \\ & y=-a_0 \sin \left(\frac{\pi}{2}\right)=-a_0 \end{aligned} }

Point of maximum displacement \mathrm{a_{0}} in negative direction is a

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Divya Prakash Singh

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