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

Answer

D

Explanation

`(I_(1))/(I_(2))= (a_(1)^(2))/(a_(2)^(2))implies (a_(1))/(a_(2))= ((1)/(25))^((1)/(2))= (1)/(5)`
`(I_("max"))/(I_("min"))= (a_(1)+a_(2))^(2)/ (a_(1)-a_(2))^(2)= ((6)/(4))^(2)= (9)/(4)`