In the adjacent diagram,$CP$ represents a wavefront and $AO$ & $BP$ are the corresponding two rays. Find the condition on $\theta$ for constructive interference at $P$ between the ray $BP$ and the reflected ray $OP$.

  • A
    $cos \theta = 3 \lambda / 2d$
  • B
    $cos \theta = \lambda / 4d$
  • C
    $sec \theta - cos \theta = \lambda / d$
  • D
    $sec \theta - cos \theta = 4 \lambda / d$

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