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⚛️ Physics  ·  Wave Optics  ·  NEET & JEE

For the condition of destructive interference, path difference must equal:

Answer: Odd multiples of λ/2: λ/2, 3λ/2, 5λ/2....

  • A Odd multiples of λ/2: λ/2, 3λ/2, 5λ/2...
  • B Even multiples of λ/2: λ, 2λ, 3λ...
  • C Zero
  • D Any value

Correct answer: A. Odd multiples of λ/2: λ/2, 3λ/2, 5λ/2...

Explanation: Destructive interference (dark fringe) requires path difference = (2n-1)λ/2, i.e., λ/2, 3λ/2, 5λ/2, ... These give a phase difference of π (180°) between the waves.

Young's Double Slit Experimentsourceslits S₁,S₂dscreenbrightdarkPath difference at the screen determines bright (constructive, nλ) vs dark (destructive, (2n-1)λ/2) fringes

Two coherent slits S₁ and S₂ act as secondary sources; at each point on the screen, the path difference between light from S₁ and S₂ determines whether the waves arrive in phase (bright fringe) or out of phase (dark fringe), producing the characteristic alternating fringe pattern.

Concept context

Huygens principle, Young's double slit, diffraction, polarization. Essential for JEE.

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