a pair of narrow, apparel slits separated0.381mm are illuminated by green light

Question

a pair of narrow, apparel slits separated0.381mm are illuminated by green light of wavelength 555nm. Aninterference pattern is observed on a screen 1.01m away from theplane of the slits. Calculate the distance from the central maximumto the first bright region on either side of the central maximum.Answer in units of mm. B). Calculate the distance between the firstand second dark bands. Answer in units of mm. a pair of narrow, apparel slits separated0.381mm are illuminated by green light of wavelength 555nm. Aninterference pattern is observed on a screen 1.01m away from theplane of the slits. Calculate the distance from the central maximumto the first bright region on either side of the central maximum.Answer in units of mm. B). Calculate the distance between the firstand second dark bands. Answer in units of mm.

Explanation / Answer

A)the genaral condition for destructive interference is sindark = m * (/a) m =±1,±2,±3,................. the distance from the central maximum to the first brightregion on either side of the central maximum y = L *  sindark = L * m *(/a) L = 1.01 m,m = 1, = 555 nm = 555 * 10-9 m anda = 0.381 mm = 0.381 * 10-3 m B)the distance between the first and second dark bands = [(m + (1/2)) * * L/a)]

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