The ratio of intensity at maxima and minima in the interference pattern is 25:9. What will be the widths of the two slits in Young's interference experiment ?

Options

A. `18:3`
B. `4:1`
C. `8:1`
D. `16:1`

Answer

D

Explanation

Here, `(I_(max))/(I_(min))=(25)/(9) or ((A_(1)+A_(2))/(A_(1)-A_(2)))^(2)=(25)/(9)`
`((A_(1))/(A_(2))+1)/((A_(1))/(A_(2))-1)=(5)/(3)implies(A_(1))/(A_(2))=4`
` :. ` Width ratio of two slits, `(d_(1))/(d_(2))=A_(1)^(2)/(A_(2)^(2))=(16)/(1)=16:1`