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(a) 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. (b) The ratio of the intensities at 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 :(b) Here `(I_("min"))/(I_(MAX))=(9)/(25)`. Let the ratio of the widths of the two slits `(w_(1))/(w_(2))` be r. then `(I_("min"))/(I_(max))=((sqrt(r)-1)/(sqrt(r)+1))^(2)=(9)/(25)implies(sqrt(r)-1)/(sqrt(r)+1)=(3)/(5)implies sqrt(r)=4 or r=(w_(1))/(w_(2))=(16)/(1)`. |
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