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

Question

In Young's double-slit experiment, 12 fringes are obtained on a certain segment of the screen when light of wavelength 600 nm is used. If the wavelength of light is changed to 400 nm , the number of fringes observed on the same segment of the screen is given by, 18, 24, 30, 36

MARKS App · Accepted Answer

If on a certain segment of the screen, n 1 fringes of wavelength λ 1 are present and n 2 fringes of wavelength λ 2 are present, then n 1 β 1 = n 2 β 2 ⇒ n 1 λ 1 = n 2 λ 2 ∴ n 2 = n 1 λ 1 λ 2 = 12 × 600 400 = 18

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