AP EAMCET · PHYSICS · Wave Optics
\(P Q\) represents a wavefront and \(A O\) and \(B P\), the corresponding two rays. Find the condition on \(Q\) for constructive interference at \(P\) between ray \(B P\) and reflected ray \(O P\).
- A \(\cos \theta=\frac{3 \lambda}{2 d}\)
- B \(\cos \theta=\frac{\lambda}{4 d}\)
- C \(\sec \theta-\cos \theta=\frac{\lambda}{d}\)
- D \(\sec \theta-\cos \theta=\frac{4 \lambda}{d}\)
Answer & Solution
Correct Answer
(B) \(\cos \theta=\frac{\lambda}{4 d}\)
Step-by-step Solution
Detailed explanation
According to figure, point \(P\) and point \(Q\) are at same phase. According to figure, In \(\triangle P O R\), \(\begin{aligned} & \cos \theta=\frac{P R}{O P}=\frac{d}{O P} \\ & \Rightarrow \quad O P=\frac{d}{\cos \theta} \quad \ldots (i) \end{aligned}\) In…
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