JEE Main & Advanced Physics Wave Mechanics Question Bank Stationary Waves

  • question_answer
    A standing wave is represented by \[Y=A\sin (100t)\cos (0.01x)\]            where Y and A are in millimetre, t is in seconds and x is in metre. The velocity of wave is      [CBSE PMT 1994; AFMC 2002]

    A)            \[{{10}^{4}}\,m/s\]            

    B)            \[1\,m/s\]

    C)            \[{{10}^{-4}}\,m/s\]

    D)            Not derivable from above data

    Correct Answer: A

    Solution :

                          By comparing given equation with \[y=a\sin (\omega t)\cos kx\]                    Þ\[v=\frac{\omega }{k}=\frac{100}{0.01}={{10}^{4}}\]\[m/s\]


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