JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

  • question_answer
    At a moment in a progressive wave, the phase of a particle executing S.H.M. is \[\frac{\pi }{3}\]. Then the phase of the particle 15 cm ahead and at the time \[\frac{T}{2}\] will be, if the wavelength is 60 cm

    A)            \[\frac{\pi }{2}\]                 

    B)            \[\frac{2\pi }{3}\]

    C)            Zero                                         

    D)            \[\frac{5\pi }{6}\]

    Correct Answer: D

    Solution :

               Let the phase of second particle be \[\varphi \]. Hence phase difference between two particles is            \[\Delta \varphi =\frac{2\pi }{\lambda }\Delta x\]                    Þ \[\left( \varphi -\frac{\pi }{3} \right)=\frac{2\pi }{60}\times 15\] \[\Rightarrow \varphi -\frac{\pi }{3}=\frac{\pi }{2}\Rightarrow \varphi =\frac{5\pi }{6}\]


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