In Young's double slit experiment, slits are separated by 2 mm and the screen is placed at a distance of 1.2 m from the slits. Light consisting of two wavelengths 6500 Å and 5200 Å are used to obtain interference fringes. Then, the separation between the fourth bright fringes of two different patterns produced by the two wavelengths is

Question

In Young's double slit experiment, slits are separated by 2 mm and the screen is placed at a distance of 1.2 m from the slits. Light consisting of two wavelengths 6500 Å and 5200 Å are used to obtain interference fringes. Then, the separation between the fourth bright fringes of two different patterns produced by the two wavelengths is, 0.312 m m, 0 . 123 m m, 0.213 m m, 0.412 m m

MARKS App · Accepted Answer

y 4 = 4 D λ d Separation between the fourth bright fringes = 4 D λ 1 d - 4 D λ 2 d 4 D d λ 1 - λ 2 = 4 × 1.2 2 × 10 - 3 6500 - 5200 × 10 - 10 = 3120 × 10 - 7 = 0.312 mm

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