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Question

Two sinusoidal plane waves of the same frequency having intensities I0 and 4I0 are travelling in the same direction. The resultant intensity at a point at which the waves meet with a phase difference of π2 is
  1. 2I0
  2. 5I0
  3. 3I0
  4. 9I0


Solution

The correct option is B 5I0
We know that resultant intensity at a point is given by,
I=I1+I2+2I1I2 cos Δϕ
I=I0+4I0+2I0×4I0cos π2
I=5I0

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