In Young's double slit experiment, the interference pattern is found to have an intensity ratio between bright and dark fringes is 9. This implies the

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For bright fringes, ∣ m a x ​ = ( a + b ) 2 For dark fringes, I m i n ​ = ( a − b ) 2 Now I m i n ​ I m a x ​ ​ = 9 = ( a − b ) 2 ( a + b ) 2 ​ ⇒ a − b a + b ​ = 3 ⇒ a + b = 3 ( a − b ) ⇒ a + b = 3 a − 3 b ⇒ 2 a = 4 b b a ​ = 2 ⇒ b 2 a 2 ​ = 4 ∴ Ratio of intensities of the two slits, I 2 ​ I 1 ​ ​ = b 2 a 2 ​ = 1 4 ​

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