In the adjacent diagram, \( C P \) represents a wavefront and \( A O \) and \( B P \), the corre...

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In the adjacent diagram, \( C P \) represents a wavefront and \( A O \) and \( B P \), the corresponding two rays. Find the condition on \( \theta \) for constructive interference at \( P \) between the ray \( B P \) and reflected ray \( O P \)
(a) \( \cos \theta=\frac{2 \lambda}{2 d} \)
(b) \( \cos \theta=\frac{\lambda}{4 d} \)
(c) \( \sec \theta-\cos \theta=\frac{\lambda}{d} \)
(d) \( \sec \theta-\cos \theta=\frac{4 \lambda}{d} \)
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