Two slits in Young's experiment have widths 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

`(I_(max))/(I_("min"))=((sqrt(I_(1))/(I_(2))+1)/(sqrt((I_(1))/(I_(2))-1)))^(2)`
`=(sqrt((1)/(25)+1)/(sqrt((1)/(25)-1)))^(2)=(36)/(16)=(9)/(4)`