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  4. Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are

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Q. Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are

IIT JEEIIT JEE 1988

Solution:

$I_{max}=(\sqrt{I_1}+\sqrt{I_2})^2=(\sqrt{4I}+\sqrt I)^2=9I$
$I_{min}=(\sqrt{I_1}-\sqrt{I_2})^2=(\sqrt{4I}-\sqrt I)^2=I$
$\therefore $ Correct option is (c ).