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The interference patterns is obtained with two coherent light sources of intensity ratio n. I the interference pattern, the ratio (I_("max")-I_("min"))(I_("max")+I_("min")) will be...... |
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Answer» `(SQRT(n))/((n+1)^(2))` `:. (I_(1))/(I_(2))=n` `(A_(1)^(2))/(A_(2)^(2))=n "" [ :. I PROP A^(2)]` `:.(A_(1))/(A_(2))= sqrt(n)` Taking COMPONENDO and dividendo `(A_(1)+A_(2))/(A_(1)-A_(2))=(sqrt(n)+1)/(sqrt(n)-1)` `:. ((A_(1)+A_(2))^(2))/((A_(1)-A_(2))^(2))=(n+2sqrt(n)+1)/(n-2sqrt(n)+1)` `:. (I_("max"))/(I_("min"))=(n+2sqrt(n)+1)/(n-2sqrt(n)+1)` Taking componendo and dividendo again `(I_("max")-I_("min"))/(I_("max")-I_("min))=(n+2sqrt(n)+1-n+2sqrt(n)+1)/(n+2sqrt(n)+1+n-2sqrt(n)+1)` `=(4sqrt(n))/(2(n+1))=(2sqrt(n))/(n+1)` |
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