Optics Question 1017

Question: If two light waves having same frequency have intensity ratio 4 : 1 and they interfere, the ratio of maximum to minimum intensity in the pattern will be

[BHU 1995; MP PMT 1995; DPMT 1999; CPMT 2003]

Options:

A) 9 : 1

B) 3 : 1

C) 25 : 9

D) 16 : 25

Show Answer

Answer:

Correct Answer: A

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{4}{1}}+1}{\sqrt{\frac{4}{1}}-1} )}^{2}}=\frac{9}{1} $



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