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Question

Light waves from two coherent sources having intensities $$I$$ and $$2I$$ cross each other at a point with a phase difference of $${60}^{o}$$. What is the resultant intensity at the point?


Solution

Given -   $$I_{1}=I , I_{2}=2I , \theta=60^{o}$$
We have , resultant intensity
              $$I_{R}=I_{1}+I_{2}+2\sqrt{I_{1}I_{2}}\cos\theta$$
or          $$I_{R}=I+2I+2\sqrt{I\times2I}\cos60$$
or          $$I_{R}=3I+2I\sqrt{2}\times1/2=I(3+\sqrt2)$$

Physics

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