JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Waves

  • question_answer
    The displacement y of a particle in a medium can be expressed as, \[y={{10}^{-6}}\sin \left( 100t+20x+\frac{\pi }{4} \right)m\] where t is in second and x in meter. The speed of the wave is

    A)  \[20m/s\]          

    B)         \[5m/s\]  

    C) \[2000m/s\]       

    D)        \[~57m/s\]  

    Correct Answer: B

    Solution :

    [b] From equation, \[\omega =100\] \[\therefore \,\,\,\frac{2\pi }{T}=100\Rightarrow v=\frac{100}{2\pi }\] \[\frac{2\pi }{\lambda }=20\Rightarrow \lambda =\frac{2\pi }{20}\] \[v=\lambda v=\frac{2\pi }{20}\times \frac{100}{2\pi }=5m/s\]


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