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COMEDK · Physics · 26. Wave Optics

Two coherent waves of intensities \(I_1\) and \(I_2\) pass through a region at the same time in the same direction. The sum of maximum to minimum intensities is

  1. A \(2\left(I_1+I_2\right)\)
  2. B \(2\left(\sqrt{I_1}+\sqrt{I_2}\right)^2\)
  3. C \(\left(I_1+I_2\right)^2\)
  4. D \(\left(I_1+I_2\right)\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(2\left(I_1+I_2\right)\)

Step-by-step Solution

Detailed explanation

The resultant intensity \(I\) of two coherent waves with intensities \(I_1\) and \(I_2\) is given by \(I = I_1 + I_2 + 2\sqrt{I_1 I_2} \cos \phi\), where \(\phi\) is the phase difference between the waves. The maximum intensity \(I_{max}\) occurs when \(\cos \phi = 1\), which…