CMC Medical CMC-Medical VELLORE Solved Paper-2014

  • question_answer
    Two coherent sources whose intensity ratio is 64 : 1 produce interference fringes. The ratio of intensities of maxima and minima is

    A)  9: 7                                       

    B)  8 : 1

    C)  81 : 49                 

    D)  81 : 7

    Correct Answer: C

    Solution :

                    The ratio of intensities of maxima and minima \[\frac{{{I}_{\max }}}{{{I}_{\min }}}=\frac{{{(\sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}})}^{2}}}{{{(\sqrt{{{I}_{1}}}-\sqrt{{{I}_{2}}})}^{2}}}=\frac{{{(\sqrt{64}+\sqrt{1})}^{2}}}{{{(\sqrt{64}-\sqrt{1})}^{2}}}\] \[\frac{{{I}_{\max }}}{{{I}_{\min }}}=\frac{{{(8+1)}^{2}}}{{{(8-1)}^{2}}}=\frac{81}{49}\]


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