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Question: Answered & Verified by Expert
Two identical narrow slits S1 and S2 are illuminated by the light of a wavelength λ  from a point source P.



If, as shown in the diagram above, the light is then allowed to fall on a screen, and if n is a positive integer, the condition for destructive interference at Q is
PhysicsWave OpticsNEET
Options:
  • A l 1 - l 2 = 2 n + 1 λ / 2
  • B l 3 - l 4 = 2 n + 1 λ / 2
  • C l 1 + l 2 - l 3 + l 4 = n λ
  • D l 1 + l 3 - l 2 + l 4 = 2 n + 1 λ / 2
Solution:
1913 Upvotes Verified Answer
The correct answer is: l 1 + l 3 - l 2 + l 4 = 2 n + 1 λ / 2
Path difference = l 1 + l 3 - l 2 + l 4           ...(i)

for destructive interference

Path difference = 2 n + 1 λ / 2                   ...(ii)

l 1 + l 3 - l 2 + l 4 = 2 n + 1 λ / 2

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