Interference fringes are obtained in a Young double slit experiment using beam of light consisting two wavelengths 500 nm and 600 nm . Bright fringes due to both wavelengths coincide at 2 . 5 mm from the central maximum. If the separation between the slits is 3 mm , then the distance between the screen and plane of the slits is

Question

Interference fringes are obtained in a Young double slit experiment using beam of light consisting two wavelengths 500 nm and 600 nm . Bright fringes due to both wavelengths coincide at 2 . 5 mm from the central maximum. If the separation between the slits is 3 mm , then the distance between the screen and plane of the slits is, 1 . 2 m, 2 . 8 m, 2 . 5 m, 3 . 2 m

MARKS App · Accepted Answer

We know, y = n 1 λ 1 D d = n 2 λ 2 D d ⇒ n 1 λ 1 = n 2 λ 2 ⇒ n 1 500 nm = n 2 600 nm ⇒ 5 n 1 = 6 n 2 ∴ n 1 = 6 , n 2 = 5 ∴ n 1 ≠ 0 , n 2 ≠ 0 Consider; y = n 1 λ 1 D d ⇒ 2 . 5 mm = 6 × 500 nm 3 mm × D ⇒ D = 2 . 5 × 3 × 10 - 6 6 × 500 × 10 - 9 ∴ D = 2 . 5 m

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