JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Wave Nature and Interference of Light

  • question_answer
    Two coherent monochromatic light beams of intensities I  and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are [IIT-JEE 1988; RPMT 1995; AIIMS 1997; MP PMT 1997;MP PET 1999; BHU 2002; KCET 2000, 05]

    A)            5I and I                                   

    B)            5I and 3I

    C)            9I and I                                   

    D)            9I and 3I

    Correct Answer: C

    Solution :

                       \[{{I}_{\max }}={{(\sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}})}^{2}}={{(\sqrt{I}+\sqrt{4I})}^{2}}=9I\] \[{{I}_{\min }}={{(\sqrt{{{I}_{1}}}-\sqrt{{{I}_{2}}})}^{2}}={{(\sqrt{I}-\sqrt{4I})}^{2}}=I\]


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