Light waves form two coherent source having intensity ration `81:1` produce interference. Then, the ratio of maxima and minima in the interference pattern will be

Explanation

Given, `(I_(1))/(I_(2))=(A_(1)^(2))/(A_(2)^(2))=(81)/(1)`
`:. (A_(1))/(A_(2))=(9)/(1) or A_(1)=9 A_(2)` . . . (1)
`:. (I_("max"))/(I_("min")) = ((A_(1)+A_(2))^(2))/((A_(1)-A_(2))^(2))`
From Eq. (i) , we get
`(I_("max"))/(I_("min")) = ((9 A_(2)=A_(2))^(2))/((9A_(2)-A_(2))^(2)) = ((10)^(2))/((8)^(2)) = (25)/(16)`