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JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

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    The equation of a wave motion (with \[t\] in seconds and \[x\] in metres) is given by \[y=7\sin \,\left[ 7\pi t-0.4\pi x+\frac{\pi }{3} \right]\]. The velocity of the wave will be [BHU 2002]

    A)            17.5 m/s                                 

    B)            \[49\pi \] m/s

    C)            \[\frac{49}{2\pi }m/s\]     

    D)            \[\frac{2\pi }{49}m/s\]

    Correct Answer: A

    Solution :

               \[v=\frac{\omega }{k}=\frac{7\pi }{0.4\pi }=17.5\]\[m/s\]


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