JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति JEE PYQ - Work Energy Power and Collision

  • question_answer
    In a Young’s double slit experiment, the path difference, at a certain point on the screen, between two interfering waves is \[\frac{1}{8}th\] of wavelength. The ratio of the intensity at this point to that at the centre of a bright fringe is close to-   [JEE Main 11-Jan-2019 Morning]

    A) 0.80

    B) 0.94

    C) 0.85

    D) 0.74

    Correct Answer: C

    Solution :

    [c] The phase difference between two waves is given as\[\Delta x\times \frac{2\pi }{\lambda }=\frac{\lambda }{8}\times \frac{2\pi }{\lambda }=\frac{\pi }{4}\]
    So, the intensity at this point is
    \[I={{I}_{0}}{{\cos }^{2}}\frac{\pi }{8}\]
    \[I={{I}_{0}}\left( \frac{1+\cos \frac{\pi }{4}}{2} \right)\]
    \[I={{I}_{0}}\left( \frac{1+\frac{1}{\sqrt{2}}}{2} \right)=0.85{{I}_{0}}\]


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