Interference and Intensity Ratio – Rankers Physics
Topic: Waves
Subtopic: Principle of Superposition, Interference and Beats

Interference and Intensity Ratio

Two waves having the intensities in the ratio of 9 : 1 produce interference. The ratio of maximum to minimum intensity is equal to:
10 : 8
9 : 1
4 : 1
2 : 1

Solution:

The ratio of maximum to minimum intensity is given by \(frac{I_{\text{max}}}{I_{\text{min}}} = \left(\frac{\sqrt{I_1/I_2} + 1}{\sqrt{I_1/I_2} - 1}\right)^2\). Substituting \(\frac{I_1}{I_2} = 9\) yields \(\left(\frac{3 + 1}{3 - 1}\right\)^2 = 4\), which is \(4:1\).

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