RAJASTHAN ­ PET Rajasthan PET Solved Paper-2009

  • question_answer
    When two coherent monochromatic beams of intensity I and 9l interfere, the possible maximum and minimum intensities of the resulting beam are

    A)  \[9I\] and\[I\]         

    B)  \[9I\]and\[4I\]

    C)  \[16I\]and\[4I\]       

    D)  \[16I\]and\[I\]

    Correct Answer: C

    Solution :

     Given,\[{{I}_{1}}=I\]and \[{{I}_{2}}=9I\] Maximum intensity \[={{(\sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}})}^{2}}\] \[={{(\sqrt{I}+\sqrt{9I})}^{2}}\] \[=16I\] Minimum intensity \[={{(\sqrt{{{I}_{1}}}-\sqrt{{{I}_{2}}})}^{2}}\] \[={{(\sqrt{I}-\sqrt{9I})}^{2}}=4I\]


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