Optics Question 1032

Question: Two coherent sources have intensity in the ratio of $ \frac{100}{1} $ . Ratio of (intensity) max/(intensity) min is

[RPET 2000]

Options:

A) $ \frac{1}{100} $

B) $ \frac{1}{10} $

C) $ \frac{10}{1} $

D) $ \frac{3}{2} $

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Answer:

Correct Answer: D

Solution:

$ \frac{I _{1}}{I _{2}}=\frac{100}{1} $ Now $ \frac{{I _{\max }}}{{I _{\min }}}={{( \frac{\sqrt{\frac{I _{1}}{I _{2}}}+1}{\sqrt{\frac{I _{1}}{I _{2}}}-1} )}^{2}}={{( \frac{\sqrt{100}+1}{\sqrt{100}-1} )}^{2}}=\frac{121}{81}\approx \frac{3}{2} $



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