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} $