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WBJEE · Physics · Wave Optics

Two identical light waves, propagating in the same direction, have a phase difference \(\delta\). After they superpose the intensity of the resulting wave will be proportional to

  1. A \(\cos \delta\)
  2. B \(\cos (\delta / 2)\)
  3. C \(\cos ^2(\delta / 2)\)
  4. D \(\cos ^2 \delta\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\cos ^2(\delta / 2)\)

Step-by-step Solution

Detailed explanation

\(I=4 I_0 \cos ^2\left(\frac{\delta}{2}\right) \Rightarrow I \propto \cos ^2\left(\frac{\delta}{2}\right)\)