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JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

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    The equation of a travelling wave is given by \[y=0.5\sin (20x-400t)\] where x and y are in meter and t is in second. The velocity of the wave is              [UPSEAT 2004]

    A)            10 m/s                                    

    B)            20 m/s

    C)            200 m/s                                  

    D)            400 m/s

    Correct Answer: B

    Solution :

               Given, \[y=0.5\sin \,(20x-400\,t)\]                    Comparing with \[y=a\sin (\omega t-kx)\]                    Gives velocity of wave \[v=\frac{\omega }{k}\]\[=\frac{400}{20}=20\,m/s.\]


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