Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2004

  • question_answer
    Two phase related and monochromatic beams of light have intensities \[I\] and \[4I.\] Possible maximum and minimum intensities in the resultant beam obtained due to superposition are,

    A) \[5I\,\text{and}\,I\]                                       

    B)  \[5I\,\text{and}\,3I\]

    C)  \[9I\,\text{and}\,3I\]                                   

    D) \[9I\,\text{and}\,I\]

    Correct Answer: D

    Solution :

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


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