AMU Medical AMU Solved Paper-2007

  • 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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