JEE Main & Advanced Physics Wave Mechanics Question Bank Stationary Waves

  • question_answer
    Consider the three waves \[{{z}_{1}},{{z}_{2}}\] and \[{{z}_{3}}\] as            \[{{z}_{1}}=A\sin (kx-\omega \,t)\], \[{{z}_{2}}=A\sin (kx+\omega \,t)\] and \[{{z}_{3}}=A\sin (ky-\omega \,t)\]. Which of the following represents a standing wave                                        [DCE 2004]

    A)            \[{{z}_{1}}+{{z}_{2}}\]      

    B)            \[{{z}_{2}}+{{z}_{3}}\]

    C)            \[{{z}_{3}}+{{z}_{1}}\]      

    D)            \[{{z}_{1}}+{{z}_{2}}+{{z}_{3}}\]

    Correct Answer: A

    Solution :

                         Waves  \[{{Z}_{1}}=A\sin (kx-\omega t)\] is travelling towards positive x-direction. Wave \[{{Z}_{2}}=A\sin (kx+\omega t)\], is travelling towards negative x-direction. Wave \[{{Z}_{3}}=A\sin (ky-\omega t)\] is travelling towards positive y direction. Since waves Z1 and Z2 are travelling along the same line so they will produce stationary wave.


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