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What path difference between corresponding rays from the two equal halves of the slit causes them to cancel?

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Question

What path difference between corresponding rays from the two equal halves of the slit causes them to cancel?

Options

  • \[2\lambda\]

  • \[\lambda\]

  • \[0\]

  • \[\frac{\lambda}{2}\]

MCQ
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Solution

Corresponding rays with a path difference of \[\frac{\lambda}{2}\] cancel by destructive interference. Pairing rays across the slit in this way produces a dark fringe.

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