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At a point where the path difference between two coherent light waves is 3λ/2, the interference is

A{'text': 'Constructive (bright)', 'label': 'A'}
B{'text': 'Neither bright nor dark', 'label': 'B'}
C{'text': 'Destructive (dark)', 'label': 'C'}
D{'text': 'Depends on intensity', 'label': 'D'}
Answer & Solution
Correct answer: C. {'text': 'Destructive (dark)', 'label': 'C'}
1. Constructive interference: path difference = n λ (n = 0, 1, 2, …). 2. Destructive interference: path difference = (2n + 1) λ / 2. 3. 3λ/2 corresponds to n = 1: (2×1 + 1) λ / 2 = 3λ/2. 4. So this is a dark fringe (destructive interference). _Source: NCERT Class 12 Physics, Ch 10 "Wave Optics", §10.4_
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