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JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

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    A plane progressive wave is represented by the equation \[y=0.1\sin \left( 200\pi t-\frac{20\pi x}{17} \right)\] where y is displacement in m, t in second and x is distance from a fixed origin in meter. The frequency, wavelength and speed of the wave respectively are                                                       [Pb. PET 2001]

    A)            100 Hz, 1.7 m, 170 m/s     

    B)            150 Hz, 2.4 m, 200 m/s

    C)            80 Hz, 1.1 m, 90 m/s          

    D)            120 Hz, 1.25 m, 207 m/s

    Correct Answer: A

    Solution :

               Comparing the given equation with standard equation We get \[\omega =2\pi n=200\pi \] Þ n = 100 Hz \[k=\frac{20\pi }{17}\] Þ \[\lambda =\frac{2\pi }{k}=\frac{2\pi }{20\pi /17}=1.7\,m\] and \[v=\frac{\omega }{k}=\frac{200\,\pi }{20\pi /17}=170\,m/s.\]


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