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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 31

  • question_answer
    A progressive wave \[y=A\sin \left( kx-\omega t \right)\] is reflected by a rigid wall at x = 0. Then the reflected wave can be represented by -

    A) \[y=A\,sin\left( kx+\omega t \right)\]        

    B) \[y=A\,\cos \left( kx+\omega t \right)\]

    C) \[y=-A\,sin\left( kx-\omega t \right)\]         

    D) \[y=-A\,sin\left( kx+\omega t \right)\]

    Correct Answer: D

    Solution :

    [d]\[y=A\,sin\left( kx-\omega t \right)\] for the wave progressing along the x-axis and for the reflected wave. \[y'=A\,sin\left( kx+\omega t \right).\] But the position of the rigid wall is at\[x=0\]. \[\therefore \] For the given wave, its reflected wave \[y'=-A\,sin\left( kx+\omega t \right)\]


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