BHU PMT BHU PMT (Mains) Solved Paper-2011

  • question_answer
    Two waves each of frequency 540 Hz travel at a speed of 330 m/s. If the source are in phase, in the beginning, the phase difference of the waves at a point 4 m from one source and 4.4 m from the other is

    A)  \[59{}^\circ \]                                  

    B) \[118{}^\circ \]

    C)  \[177{}^\circ \]                                

    D) \[236{}^\circ \]

    Correct Answer: D

    Solution :

                     Wavelength of waves\[\lambda =\frac{v}{n}\] \[=\frac{330}{540}=\frac{11}{18}m\] Path difference between the waves, \[\Delta x=4.4\text{ }m-4\text{ }m\] \[=0.4\text{ }m\] Phase difference\[=\frac{2\pi }{\lambda }\times \] path difference \[\therefore \] \[\Delta \phi =\frac{2\pi }{11/18}\times 0.4=\frac{14.4}{11}\pi \]rad                 \[=\frac{14.4\pi }{11}\times \frac{{{360}^{o}}}{2\pi }\]                 \[\simeq {{360}^{o}}\]


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