CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2011

  • question_answer
    In a Youngs double slit experiment, the intensity at a point where the path difference is \[\frac{\lambda }{6}(\lambda =\]wavelength of the light) is\[I\]. If\[{{I}_{0}}\]denotes the maximum intensity, then\[\frac{I}{{{I}_{0}}}\]is equal to

    A)  \[\frac{1}{2}\]                  

    B)         \[\frac{\sqrt{3}}{2}\]                    

    C)         \[\frac{1}{\sqrt{2}}\]                    

    D)         \[\frac{3}{4}\]

    E)  \[\frac{3}{4}\]

    Correct Answer: D

    Solution :

    \[\phi =\frac{\lambda }{6}=\frac{{{360}^{o}}}{6}={{60}^{o}}\] \[I={{I}_{0}}{{\cos }^{2}}\theta ={{I}_{0}}{{\cos }^{2}}{{60}^{o}}=\frac{3}{4}\times {{I}_{0}}\] \[\frac{I}{{{I}_{0}}}=\frac{3}{4}\]


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