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JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

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    The equation of a wave travelling on a string is \[y=4\sin \frac{\pi }{2}\left( 8t-\frac{x}{8} \right)\]. If x and y are in cm, then velocity of wave is                                           [MP PET 1990]

    A)            64 cm/sec in ? x direction

    B)            32 cm/sec in ? x direction

    C)            32 cm/sec in + x direction

    D)            64 cm/sec in + x direction

    Correct Answer: D

    Solution :

               The given equation can be written as \[y=4\sin \,\left( 4\pi t-\frac{\pi x}{16} \right)\] Þ \[(v)=\frac{\text{Co-efficient of}\,t(\omega )}{\text{Co-efficient  of}\,x(K)}\] Þ \[v=\frac{4\pi }{\pi /16}=64\,cm/sec\] along +x direction.


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