CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

  • question_answer
    Two coherent monochromatic light beams of intensities\[I\]and \[9I\]are super imposed. The  maximum and the minimum intensities of the resultant beam are:

    A)  \[10I\]and zero               

    B)  \[10I\]and\[8I\]              

    C)  \[10I\]and\[4I\]              

    D)         \[16I\]and\[4I\]

    E)  \[16I\]and zero               

    Correct Answer: D

    Solution :

    The ratio of maximum to minimum intensity is \[\frac{{{I}_{\max }}}{{{I}_{\min }}}=\frac{{{(\sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}})}^{2}}}{{{(\sqrt{{{I}_{1}}}-\sqrt{{{I}_{2}}})}^{2}}}=\frac{{{(1+3)}^{2}}}{(1-3)}=\frac{{{4}^{2}}}{{{2}^{2}}}\]                                                                 \[=\frac{16}{4}\]


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