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Two coherent sources of intensity ratio ...

Two coherent sources of intensity ratio ` beta^2` interfere. Then, the value of `(I_(max)- I_(min))//(I_(max)+I_(min))` is

A

`(1+beta)/(sqrt beta)`

B

`(sqrt(1+beta)/beta)`

C

`(1+beta)/beta`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D

`I_1/I_2 =beta^2`
So let, `I_2 = 1unit, then I_1=beta`
`I_(max) = (sqrtI_1+sqrtI_2)^2 = (I+beta)^2`
`I_(min) = (sqrtI_1+sqrtI_2)^2 = (I+beta)^2`
`= I_(max) - I_(min) =4beta`
` I_(max) + I_(min) = 2(1+beta^2)`
:. The asked ratio is `(2beta)/(1+beta^2).`
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