Two slits in Young's experiment have width in the ratio `1 : 25`. The ratio of intensity at the maxima and minima in the interference pattern `(I_(max))/(I_(min))` is :

Options

A. `(4)/(9)`
B. `(9)/(4)`
C. `(121)/(49)`
D. `(49)/(121)`

Answer

B

Explanation

`(w_(1))/(w_(2)) = (I_(1))/(I_(2)) = (25)/(1) = (a^(2))/(b^(2)), :. (a)/(b) = (5)/(1)`
`(I_(max))/(I_(mni)) = ((a + b)^(2))/(a - b)^(2) = (5 + 1)^(2)/(5 - 1)^(2) = (9)/(4)`