Intensity of two sources are different and waves emitting from source experience interference. If ratio of maximum and minimum intensity in interference is 25, intensity of sources is .......

Options

A. `5:1`
B. `9:4`
C. `25:16`
D. `25:1`

Answer

B

Explanation

`(I_(max))/(I_(min))=(25)/(1)` but `I_(max) prop (A_(1)+A_(2))^(2)`
`:. ((A_(1)+A_(2))^(2))/((A_(1)-A_(2))^(2))=(25)/(1)` but `I_(min) prop (A_(1)- A_(2))^(2)`
`:. (A_(1)+A_(2))/(A_(1)-A_(2))=(5)/(1)`
Taking componendo- dividendo `(A_(1))/(A_(2))=(3)/(2)` `:. (I_(1))/(I_(2))= (9)/(4)`