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VMMC VMMC Medical Solved Paper-2010

  • 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 is 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 :

    Given, \[y=4\sin \left( 4\pi t-\frac{\pi x}{16} \right)\] Where \[\omega =4\pi \]and \[k=\frac{\pi }{16}\] \[\therefore \]  \[v=\frac{\omega }{k}=\frac{4\pi }{\frac{\pi }{16}}\] v = 64 cm/s along \[+\,x\] direction.


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