The intensity variation in the interference pattern obtained with the help of two coherent source is `5%` of the average intensity find out the ratio of intensties of two sources.

Explanation

`(I_(max))/(I_(min))=(105)/(95)=(21)/(19)implies((a_(1)+a_(2))^(2))/((a_(1)+a_(2))^(2))=(21)/(19)`
`implies(a_(1)+a_(2))/(a_(1)-a_(2))=sqrt((21)/(19))=1.05impliesa_(1)+a_(2)=1.05a_(1)-1.05a`
`0.05a_(1)=2.05a_(2)implies(a_(1))/(a_(2))=(2.05)/(0.05)=(41)/(1)`