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COMEDK · Physics · 26. Wave Optics

Two coherent monochromatic light beams of intensities \(I\) and \(4 I\) are superimposed. The maximum and minimum possible resulting intensities are

  1. A \(5 I\) and 0
  2. B \(5 I\) and \(3 I\)
  3. C \(9 I\) and \(I\)
  4. D 9Iand \(3 I\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(9 I\) and \(I\)

Step-by-step Solution

Detailed explanation

Intensities of two monochromatic sources, \[ I_{1}=I \text { and } I_{2}=4 I \] Maximum intensity, \[ \begin{aligned} I_{\max } &=\left(\sqrt{I_{1}}+\sqrt{I_{2}}\right)^{2} \\ &=I_{1}+I_{2}+2 \sqrt{I_{1} I_{2}} \\ &=I+4 I+2 \sqrt{I} \sqrt{4 I}=9 I \end{aligned} \] Minimum…