Optics Question 1005

Question: The ratio of intensities of two waves is 9 : 1. They are producing interference. The ratio of maximum and minimum intensities will be

[MNR 1987 MP PET 1999; AMU (Engg.) 1999; AIIMS 2000]

Options:

A) 10 : 8

B) 9 : 1

C) 4 : 1

D) 2 : 1

Show Answer

Answer:

Correct Answer: C

Solution:

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



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