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Two light beams of intensities in the ratio of 9 : 4 are allowed to interfere. The ratio of the intensity of maxima and minima ______. -

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Question

Two light beams of intensities in the ratio of 9 : 4 are allowed to interfere. The ratio of the intensity of maxima and minima ______.

Options

  • 2 : 3

  • 16 : 81

  • 25 : 169

  • 25 : 1

MCQ
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Solution

Two light beams of intensities in the ratio of 9 : 4 are allowed to interfere. The ratio of the intensity of maxima and minima 25 : 1.

Explanation:

`"I"_"max"/"I"_"min" = ((sqrt"I"_1+sqrt"I"_2)^2)/((sqrt"I"_1-sqrt"I"_2)^2)`  

= `((sqrt9+sqrt4)^2)/((sqrt9-sqrt4)^2)`  

= `25/1`

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