An interference pattern has maximum and minimum intensities in the ratio of 36:1, what is the ratio of theire amplitudes?

Options

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

Answer

D

Explanation

`(I_("max"))/(I_("min"))=((a^(2)+b^(2))^(2))/((a^(2)-b^(2))^(2))=(36)/(1)implies(a+b)/(a-b)=(6)/(1)`
`a+b=6a-6bimplies7b=5a` or `(a)/(b)=(7)/(5)`