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JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Waves

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

    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 :

    [a] Standing waves are produced when two waves propagate in opposite direction. As \[{{z}_{1}}\] & \[{{z}_{2}}\] are propagating in \[+ve\,x-ax\] is \[-ve\,x-axis\]  so, \[{{z}_{1}}+{{z}_{2}}\] will represent a standing wave.


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