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For small angles, what is the approximate path difference at a point a distance \\(x\\) from the central bright fringe?

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Question

For small angles, what is the approximate path difference at a point a distance \(x\) from the central bright fringe?

Options

  • \[\Delta=\frac{Dx}{d}\]

  • \[\Delta=\frac{dx}{D}\]

  • \[\Delta=\frac{x}{dD}\]

  • \[\Delta=\frac{dD}{x}\]

MCQ
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Solution

For small angles, the path difference depends on slit separation \(d\), screen distance \(D\), and position \(x\). The approximation is \[\Delta=\frac{dx}{D}\].

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