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If the ratio of the intensity of two coh...

If the ratio of the intensity of two coherent sources is 4 then the visibility `[(I_(max)-I_(min))//(I_(max)+I_(min))]` of the fringes is

A

4

B

`4//5`

C

`3//5`

D

9

Text Solution

Verified by Experts

The correct Answer is:
B

`(I_(max)-I_("min"))/(I_(max)+I_("min"))=((sqrt(I_(1))+sqrt(I_(2)))^(2)-(sqrt(I_(1))-sqrt(I_(2)))^(2))/((sqrt(I_(1))+sqrt(I_(2)))^(2)+(sqrt(I_(1))-sqrt(I_(2)))^(2))`
`=((1+2)^(2)-(1-2)^(2))/((1+2)^(2)+(1-2)^(2))=(8)/(10)=(4)/(5)`.
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