JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Self Evaluation Test - Wave Optics

  • question_answer
    A narrow monochromatic beam of light of intensity I is incident on a glass plate as shown in figure. Another identical glass plate is kept close to the first one   and parallel to it. Each glass plate reflects 25 per cent of the light incident on it and transmits the remaining. Find the ratio of the minimum and the maximum intensities in the interference pattern formed by the two beams obtained after one reflection at each plate.

    A) \[1:30\]

    B) \[1:49\]        

    C) \[1:51\]

    D) \[1:73\]        

    Correct Answer: B

    Solution :

    [b] As shown in the figure, the interference will be between \[0.25I={{I}_{1}}\] and \[0.14I={{I}_{2}}\] \[\frac{{{I}_{\max }}}{{{I}_{\min }}}=\frac{{{\left( \sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}} \right)}^{2}}}{{{\left( \sqrt{{{I}_{1}}}-\sqrt{{{I}_{2}}} \right)}^{2}}}=\frac{{{[\sqrt{0.25I}+\sqrt{0.14I}]}^{2}}}{{{[\sqrt{0.25I}-\sqrt{0.14I}]}^{2}}}=\frac{49}{1}\]


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