The ratio of intensities of minima to maxima in Young's double slit experiment is `9 : 25`. Find the ratio of width of two slits.

Answer

`16 : 1`

Explanation

Here, `(I_(min))/(I_(max)) = (9)/(25) , (w_(1))/(w_(2)) = ?`
`((a - b)^(2))/((a + b)^(2)) = (9)/(25) :. (a - b)/(a + b) = (3)/(5)`
`5a - 5b = 3a + 3b`
`2a = 8b or a = 4 b`
`(w_(1))/(w_(2)) = (I_(1))/(I_(2)) = (a^(2))/(b^(2)) = ((4 b^(2)))/(b^(2)) = (16)/(1)`