RAJASTHAN PMT Rajasthan - PMT Solved Paper-2006

  • question_answer
    Maximum and minimum intensities obtained by. Two sources having intensities \[4I\] and \[I\]are:

    A)  \[5I,-3I\]                            

    B)  \[9I,I\]

    C)  \[9I,-I\]               

    D)         \[5I,3I\]

    Correct Answer: B

    Solution :

    During interference intensity obtained,                 \[{{I}_{0}}={{I}_{1}}+{{I}_{2}}+2\sqrt{{{I}_{1}}{{I}_{2}}}\cos \alpha \] Clearly, \[{{I}_{0}}\] is maximum when\[\cos \alpha =1\]and minimum when\[\cos \alpha =-1\] \[\therefore \]  \[{{I}_{\max }}=4I+I+2\sqrt{4I\times I}=9I\]                 \[{{I}_{\min }}=4I+I-2\sqrt{4I\times I}=I\]


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