MGIMS WARDHA MGIMS WARDHA Solved Paper-2009

  • question_answer
    The intensity ratio of two coherent sources of light is P. They are interfering in same region and produce interference pattern. Then the f, fringe visibility is

    A)  \[\frac{1+p}{2\sqrt{p}}\]                                            

    B) \[\frac{1\sqrt{p}}{1+p}\]

    C) \[\frac{p}{1+p}\]                                             

    D) \[\frac{2p}{1+p}\]

    Correct Answer: B

    Solution :

                     Visibility, \[V=\frac{{{I}_{\max }}-{{I}_{\min }}}{{{I}_{\max }}+{{I}_{\min }}}=\frac{2\sqrt{{{I}_{1}}{{I}_{2}}}}{({{I}_{1}}+{{I}_{2}})}\] \[=\frac{2\sqrt{{{I}_{1}}/{{I}_{2}}}}{\frac{{{I}_{1}}}{{{I}_{2}}}+1}=\frac{2\sqrt{P}}{P+1}\]


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