wave_mechanics interference_and_superposition_of_waves Question 22
Question: Two waves having the intensities in the ratio of 9 : 1 produce interference. The ratio of maximum to the minimum intensity, is equal to
[CPMT 2001; Pb. PET 2004]
Options:
A) 2 : 1
B) 4 : 1
C) 9 : 1
D) 10 : 8
Show Answer
Answer:
Correct Answer: B
Solution:
$ \frac{I _{max}}{I _{min}}=\frac{{{( \frac{\sqrt{I _{1}}}{\sqrt{I _{2}}}+1 )}^{2}}}{{{( \frac{\sqrt{I _{1}}}{\sqrt{I _{2}}}-1 )}^{2}}}=\frac{{{( \sqrt{\frac{9}{1}}+1 )}^{2}}}{{{( \sqrt{\frac{9}{1}}-1 )}^{2}}}=\frac{4}{1} $