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COMEDK · Physics · 16. Waves and Sound

In an interference pattern the ratio of the intensity of light at the bright fringe to that at the dark fringe is \(9: 1\). Then, the ratio of the amplitudes of the two interfering waves

  1. A \(3: 1\)
  2. B \(2: 1\)
  3. C \(1: 4\)
  4. D \(5: 4\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2: 1\)

Step-by-step Solution

Detailed explanation

Given, \(\frac{I_{\max }}{I_{\min }}=9\) Since, intensity \(\propto(\text { amplitude })^{2}\) \(\therefore \quad \frac{A_{\max }}{A_{\min }}=\frac{a_{1}+a_{2}}{a_{1}-a_{2}}=\sqrt{\frac{9}{1}}=\frac{3}{1}\) \(\Rightarrow \quad a_{1}+a_{2}=3 a_{1}-3 a_{2}\)…