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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 .......

Answer»

`5:1`
`9:4`
`25:16`
`25:1`

SOLUTION :`(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)`


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