If an interference pattern have maximum and minimum intensities in `36:1` ratio, then what will be the ratio of amplitudes?

Options

A. `5:7`
B. `7:4`
C. `4:7`
D. `7:5`

Answer

D

Explanation

`(I_(max))/(I_(min))=(36)/(16),(a_(1))/(a_(2))=?`
`(I_(max))/(I_(min))=((a_(1)+a_(2))^(2))/((a_(1)-a_(2))^(2))`
`(36)/(1)=((a_(1)+a_(2))^(2))/((a_(1)-a_(2))^(2))` on solving it
`:.(a_(1))/(a_(2))=(7)/(5)`