In the Young’s double slit experiment using a monochromatic light of wavelength \lambda, the path difference (in terms of an integer n) corresponding to any point having half the peak intensity is

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In the Young’s double slit experiment using a monochromatic light of wavelength $λ$ , the path difference (in terms of an integer n) corresponding to any point having half the peak intensity is

$(2 n + 1) \frac{λ}{4}$

$(2 n + 1) \frac{λ}{16}$

$(2 n + 1) \frac{λ}{2}$

$(2 n + 1) \frac{λ}{8}$

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$\frac{I_{0}}{2} = I_{R} = I_{0} \cos^{2} (\frac{π}{λ} ΔP)$

$\Rightarrow \cos (\frac{π}{λ} ΔP) = \pm \frac{1}{\sqrt{2}}$

$∴ ΔP = (2 n + 1) \frac{λ}{4}$

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