A light source, which emits two wavelength λ1 = 400 nm and λ2 = 600 nm, is used in a Young's double slit experiment. If recorded fringe widths for λ1 and λ2 are β1 and β2 and the number of fringes for them within a distance y on one side of the centre maximum are m1 and m2, respectively, then :

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A light source, which emits two wavelength λ₁ = 400 nm and λ₂ = 600 nm, is used in a Young's double slit experiment. If recorded fringe widths for λ₁ and λ₂ are β₁ and β₂ and the number of fringes for them within a distance y on one side of the centre maximum are m₁ and m₂, respectively, then :

The angular separation of fringes for λ₁ is greater than λ₂

β₂ > β₁

m₁ > m₂

From the centre maximum, 3^rd maximum of λ₂ overlaps with 5^th minimum of λ₁

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$β_{1} = \frac{λ_{1} D}{d}$

$β_{2} = \frac{λ_{2} D}{d}$

$y = \frac{m_{1} λ_{1} D}{d}$

m₁ > m₂

$3^{rd} \max \frac{3 λ_{2} D}{d} = \frac{3 \times 600 D}{d}$

$5^{th} \min \frac{4 .5 λ_{1} D}{d} = 4 .5 \times \frac{400 D}{d}$

$θ = \frac{λ}{d}$