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JEE Main & Advanced Physics Wave Mechanics Question Bank Graphical Questions

  • question_answer
    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

    A)            P

    B)            Q

    C)            R

    D)            S

    Correct Answer: B

    Solution :

                       At t = 0 and \[x=\frac{\pi }{2k}\]. The displacement \[y={{a}_{0}}\sin \,\left( \omega {{x}_{0}}-k\times \frac{\pi }{2x} \right)=-{{a}_{0}}\sin \frac{\pi }{2}=-{{a}_{0}}\] from graph. Point of maximum displacement (a0) in negative direction is Q.


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