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In Young's double slit experiment , describe briefly how bright and dark fringes are obtained on the screen kept in front of a double slit . Hence obtain the expression for the fringe width. OR Describe Young's double slit experiment to produce interference pattern due to a monochromatic source of light. Deduce the expression or the fringe width. (b) The ratio of the intensities at the minima to the maxima in the Young's double slit experiment is 9 : 25 . Find the ratio of the widths of the two slits. |
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Answer» Solution :(a) (b) We have `(I_(max))/(I_(MIN))=((a_(1)+a_(2))^(2))/((a_(1)-a_(2))^(2))=(25)/(9)` `:.(a_(1)+a_(2))/(a_(1)-a_(2))=(5)/(3)implies(a_(1))/(a_(2))=(4)/(1)` Then ratio of width `omega_(1)` & `omega_(2)` of two SLITS is given by `:.(omega_(1))/(omega_(2))=(I_(1))/(I_(2))=((a_(1))^(2))/((a_(2))^(2))=(16)/(1)` |
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