Two coherent sources of intensity ratio `9 : 4` produce interference. The intensity ratio of maxima and minima of the interference pattern is

Options

A. `13 : 6`
B. `5 : 1`
C. `25 : 1`
D. `3 : 2`

Answer

C

Explanation

Given that the ratio of source intensity `(I_1)/(I_2)=(9)/(4)`
For the interference pattern,
`(I_"max")/(I_"min")=((sqrt(I_1)+sqrt(I_2))/(sqrt(I_1)-sqrt(I_2)))^(2)=((sqrt(9)+sqrt(4))/(sqrt(9)-sqrt(4)))^(2)=(((3)/(2)-1)/((3)/(2)+1))^(2)=(25)/(1)`