JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2010

  • 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,                 \[\Delta x=4.4m-4m\]                 \[=0.4\,m\] Phase difference\[=\frac{2\pi }{\lambda }\times \]path difference \[\therefore \]  \[\Delta \phi =\frac{2\pi }{11/18}\times 0.4=\frac{14.4}{11}\pi \,rad\]                 \[=\frac{14.4\pi }{11}\times \frac{360{}^\circ }{2\pi }\]                 \[\simeq 236{}^\circ \]


You need to login to perform this action.
You will be redirected in 3 sec spinner