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In an interference pattern, the slit wid...

In an interference pattern, the slit widths are in the ratio `1 : 9`. Then find out the ratio of minimum and maximum intensity.

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Slit with ratio
`w_1/w_2=1/9becauseI_1/I_2=w_1/w_2=a_1^2/a_2^2=1/9`
`impliesa_1/a_2=1/3implies3a_1=a_2 becauseI_(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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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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