MGIMS WARDHA MGIMS WARDHA Solved Paper-2010

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

    A)  10\[I\] and zero              

    B)  10\[I\] and 8\[I\]

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

    D)  16\[I\]and 4\[I\]

    Correct Answer: D

    Solution :

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


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