In a double-slit interference experiment with slit separation d and light wavelength lambda, what is the path difference for the third dark fringe?

Answer and explanation

Correct answer: B. 2.5 * lambda

  1. Step 1: Destructive interference occurs when the path difference satisfies delta x = (m + 0.5) lambda. Step 2. For the first dark fringe m = 0 (0.5lambda); second m = 1 (1.5lambda); third m = 2 (2.5lambda). *Answer: 2.5 lambda. Why not the others:* Integer multiples mlambda yield constructive bright fringes.

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In a double-slit interference… | New Zealand Scholarship