In Young's double slit experiment, the slits are 2 mm apart and are illuminated by photons of two wavelengths λ 1 = 12000 Å and λ 2 = 10000 Å . At what minimum distance from the common central bright fringe on the screen 2 m from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other?

Question

In Young's double slit experiment, the slits are 2 mm apart and are illuminated by photons of two wavelengths λ 1 = 12000 Å and λ 2 = 10000 Å . At what minimum distance from the common central bright fringe on the screen 2 m from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other?, 8 mm, 6 mm, 4 mm, 3 mm

MARKS App · Accepted Answer

Given, λ 1 = 12000 Å and λ 2 = 10000 Å D = 2 cm d = 2 mm = 2 × 10 - 3 m We have, λ 1 λ 2 = n 2 n 1 = 12000 10000 = 6 5 as X = n 1 λ 1 D d n 1 = 5 = 5 × 12000 × 10 - 10 × 2 2 × 10 - 3 = 5 × 1 . 2 × 10 4 × 10 - 10 × 10 3 = 6 mm

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