1.

Two coherent sources of intensity ratio beta interfere, the (I_(max) - I_(min))/(I_(max) + I_(min)) is:

Answer»

`(BETA)/(1 + beta)`
`(2 SQRT beta)/(1 + sqrt beta)`
`(2 sqrt beta)/(1 + beta)`
`(2 beta)/(1 + sqrt beta)`

Solution :Using `(I_(max))/(I_(MIN)) = sqrt(I_(1) + sqrtI_(2))^(2)/(sqrtI_(1) - sqrtI_(2))^(2)`
`therefore I_(max)/(I_(min) = (I_(max) - I_(min))/(I_(max) + I_(min))`
` = ((sqrtI_(1) + sqrtI_(2))^(2) - (sqrtI_(1) - sqrt I_(2))^(2))/((sqrtI_(1) + sqrtI_(2))^(2) + (sqrtI_(1) - sqrt I_(2))^(2))`
`(4.sqrtI_(1). sqrtI_(2))/(2(I_(1) + I_(2))`
`2sqrt(I_(1) + I_(2))/(I_(1) + I_(2))= 2 sqrt((I_(1))/(I_(2)))/((I_(1))/(I_(2)) + 1) = (2 sqrtbeta)/(beta + 1)`
`= (2 sqrt beta)/(1 + beta)`


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