White light is used to illuminate the two slits in a Young's double slit experiment. The separation between the slits is d and the screen is at a distance D(> d) from the slits. At a point on the screen directly in front of one of the slits, certain wavelengths are missing. Some of these missing wavelengths are :

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$λ = \frac{d^{2}}{3 D}$

$λ = \frac{2 d^{2}}{3 D}$

$λ = \frac{d^{2}}{D}$

$λ = \frac{2 d^{2}}{D}$

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for missing wavelength, minima is formed

$∴ D_{x} = \frac{(\frac{d}{2}) \times d}{D} = (n + \frac{1}{2}) λ$ for n=0 $λ = \frac{d^{2}}{D}$

$\frac{d}{2 D} = (2 n + 1) \frac{λ}{2}$ n=1 $λ = \frac{d^{2}}{3 D}$