JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

  • question_answer
    A simple harmonic progressive wave is represented by the equation : \[y=8\sin 2\pi (0.1x-2t)\] where \[x\] and \[y\] are in cm and \[t\] is in seconds. At any instant the phase difference between two particles separated by 2.0 cm in the x-direction is [MP PMT 2000]

    A)            18o

    B)            36o

    C)            54o

    D)            72o

    Correct Answer: D

    Solution :

               From the given equation \[k=0.2\pi \]                    Þ\[\frac{2\pi }{\lambda }=0.2\pi \Rightarrow \lambda =10\]cm                    \[\Delta \varphi =\frac{2\pi }{\lambda }\,\Delta x=\frac{2\pi }{10}\times 2=\frac{2\pi }{5}={{72}^{o}}\,\]


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