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In interference pattern if the slit widt...

In interference pattern if the slit widths are in the ratio `1:9` then find out the ratio of minimum and maximum intensity
Slit width ratio `(w_(1))/(w_(2))=(1)/(9)`
`because(I_(1))/(I_(2))=(w_(1))/(w_(2))=(a_(1)^(2))/(a_(2)^(2))=(1)/(9)implies(a_(1))/(a_(2))=(1)/(3)implies3a_(1)=a_(2)`
`therefore(I_(min))/(I_(max))=((a_(1)-a_(2))^(2))/((a_(1)+a_(2))^(2))=((a_(1)-3a_(1))^(2))/((a_(1)+3a_(1))^(2))=(4)/(16)=1:4`

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