(a) Ratio of widths of two slits in Yougn's double-slit experiment is 4:1. evaluate the ratio of intensity at maxima and minima in the interference pattern.
(b) Does the appearance of bright and dark fringes in the interference pattern violate, in any way, conservation of energy ? Explain.

Explanation

(a) Here ratio of the widths of slits `r=(w_(1))/(w_(2))=(4)/(1)=4 or sqrt(r)=sqrt(4)=2`.
`therefore (I_(max))/(I_("min"))=(sqrt(r)+1)^(2))/((sqrt(r)-1)^(2))=((2+1)^(2))/((2-1)^(2))=(9)/(1)impliesI_(max):I_("min")=9:1`
(b) N/A