MGIMS WARDHA MGIMS WARDHA Solved Paper-2007

  • question_answer
    Two coherent monochromatic light beams of intensities \[I\] and 4 \[I\] superimpose. The maximum and minimum possible intensities in the resulting beam are respectively

    A) 5\[I\] and \[I\]                  

    B) 5\[I\] and 3\[I\]

    C) 3\[I\]and\[I\]                                    

    D) 9 \[I\]and\[I\]

    Correct Answer: D

    Solution :

    \[{{I}_{\max }}={{I}_{1}}+{{I}_{2}}+2\sqrt{{{I}_{1}}{{I}_{2}}}\] \[=I+4I+2\sqrt{I\times 4I}\]                 \[=5I+2\times 2I\]                 \[=5I+4I=9I\] \[{{I}_{\min }}=I+4I-2\sqrt{I\times 4I}\]                 \[=5I-4I=I\]


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