1.

(a) In Young's double-slit experiments, deduce the conditions for obtaining constructive and desctructive interference fringes. Hence deduce the expression for the fringe width. (b) Show that the fringe pattern on the screen is actually a superposition of single slit diffraction from each slit. (c ) What should be the width of each slit to obtain 10 maxima of the double-slit pattern within the central maximum of the single slit pattern, for green light of wavelength 500 nm, if the separation between two slits is 1 mm?

Answer»

SOLUTION :(c ) `d = 1 mm = 10^(-3) m`
`BETA = (2 lambda D)/(a)`
`10 (lambda D)/(d) = (2 lambda D)/a`
`a = d/5 = (10^(-3))/5 = 0.2 XX 10^(-3) m`.


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