AMU Medical AMU Solved Paper-1998

  • question_answer
    The intensity ratio of the maxima and minima in an interference pattern produced by two coherent sources of light is 9 1. The intensities of the used light sources are in ratio

    A)  \[3:1\]             

    B)  \[4:1\]

    C)  \[9:1\]             

    D)  \[10:1\]

    Correct Answer: B

    Solution :

    \[\frac{{{I}_{\max }}}{{{I}_{\min }}}=\frac{{{(a+b)}^{2}}}{{{(a-b)}^{2}}}\] \[\frac{9}{1}=\frac{{{(a+b)}^{2}}}{{{(a-b)}^{2}}}\] or \[\frac{3}{1}=\frac{a+b}{a-b}\] or \[3a-3b=a+b\] or\[2a=4b\]or \[a=2b\] \[\therefore \] \[\frac{{{I}_{1}}}{{{I}_{2}}}=\frac{{{a}^{2}}}{{{b}^{2}}}=\frac{4}{1}\]


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