JCECE Medical JCECE Medical Solved Paper-2012

  • question_answer
    A wave travelling along positive \[x-\]axis is given by \[y=A\sin (\omega t-kx).\]If it is reflected from a rigid boundary such that 80% amplitude is reflected, then equation of reflected wave is

    A) \[y=A\sin (\omega t+0.8kx)\]

    B)  \[y=-0.8A\sin (\omega t+kx)\]

    C)  \[y=A\sin (\omega t+kx)\]

    D)  \[y=0.8A\sin (\omega t+kx)\]

    Correct Answer: B

    Solution :

     On getting reflected from a rigid boundary the wave suffers. Hence, if \[{{y}_{incident}}=A\sin (\omega t-kx)\] Then,\[{{y}_{reflected}}=(0.8A)\sin \{\omega t-k(-x)+\pi \}\] \[=-0.8A\sin (\omega t+kx)\] an additional phase change of \[\pi .\]


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