In a Young’s double slit experiment, 12 fringes are observed to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If the wavelength of light is changed to 400 nm, number of fringes observed in the same segment of the screen is given by

Question

In a Young’s double slit experiment, 12 fringes are observed to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If the wavelength of light is changed to 400 nm, number of fringes observed in the same segment of the screen is given by, 12, 18, 24, 30

MARKS App · Accepted Answer

In Young’s double slit experiment, a fringe width = λ D d Given, that x 2 − x 1 = 12 λ 1 D d ... ( i ) ( w h e r e λ 1 = 600 n m ) Also, x 2 - x 1 = k λ 2 D ⁡ d ⁡ (Where k is the number of fringes) Dividing (i) and (ii) 1 = 12 λ 1 k λ 2 ∴ k = 12 × 600 400 = 18 ∴ The number of fringes observed now = 18.

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