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CMC Medical CMC-Medical Ludhiana Solved Paper-2008

  • question_answer
    The equation of a wave travelling on a string is \[y=4\,\sin \left[ \frac{\pi }{2}\left( 8t-\frac{x}{8} \right) \right],\] where x, y are in cm and t in second. The velocity of the wave is

    A)  64 cm/s, in - x direction

    B)  32 cm/s, in - x direction

    C)  32 cm/s, in + x direction

    D)  64 cm/s, in + x direction

    Correct Answer: D

    Solution :

                    \[Y=4\,\sin \,\left( 4\pi t-\frac{\pi \,x}{16} \right)\] where, \[\omega =4\pi \]and \[k=\frac{2\pi }{\lambda }=\frac{\pi }{16}\] \[\Rightarrow \] \[v=\frac{\omega }{k}=\]64 cm/s along + x direction.


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