Two sources of intensities ratio 25 : 1 interfere. The ratio of intensities at maxima and minima will be :

Options

A. `9:4`
B. `1 : 5 `
C. `2 : 1`
D. `5 : 1`

Answer

A

Explanation

`(I_(1))/(I_(2)) = (25)/(1 ) " " rArr " " (A_(1)^(2))/(A_(2)^(2)) = (25)/(1) `
or `(A_(1))/(A_(2)) = 5 rArr "amplitude ration" r = 5 `.
Now `(I_(max))/(I_(min)) = ((r+1)^(2))/((r-1)^(2))`
`(lambda)/(2) `
Hence the correct choice is (a) .