JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

  • question_answer
    The equation of a transverse wave travelling on a rope is given by \[y=10\sin \pi (0.01x-2.00t)\] where y and x are in cm and t in seconds. The maximum transverse speed of a particle in the rope is about  [MP PET 1999; AIIMS 2000]

    A)            63 cm/s                                  

    B)            75 cm/s

    C)            100 cm/s                                

    D)            121 cm/s

    Correct Answer: A

    Solution :

               The given equation is \[y=10\sin (0.01\pi x-2\pi t)\] Hence \[\omega =\]coefficient of t = 2p Þ Maximum speed of the particle \[{{v}_{\max }}=a\omega =10\times 2\pi \] = 10 ´ 2 ´ 3.14 = 62.8 » 63 cm/s


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