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Two coherent sources of intensity ratio ...

Two coherent sources of intensity ratio `alpha` interfere. The value of `(I_("max")-I_("min"))/(I_("max") + I_("min")` is

A

`2sqrt((alpha)/(1 + alpha))`

B

`(2sqrt(alpha))/(1 + alpha)`

C

`(1 + alpha)/(2sqrt(alpha))`

D

`(1 - alpha)/(1 + alpha)`

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When waves from two coherent source of amplitudes a and b superimpose , the amplitude R of the resultant wave is given by R = sqrt(a^(2)+b^(2)+2ab cos phi). where phi is the constant phase angle between the two waves. The resultant intensity I is directly proportional to the square of the amplitude of the resultant wave i.e I prop R^(2) i.e, I prop (a^(2) +b^(2) +2ab cos phi ) For constructive interference , phi = 2n pi " ""and"" " I _("max") = (a+b)^(2) For destructive interference , phi = (2n-1) pi "and" I_("min") = (a-b)^(2) If I_(1) I_(2) are intensities from two slits of width w_(1) "and" w_(2) then I_(1)/I_(2)=w_(1)/w_(2)=a^(2)/b^(2) Light waves from two coherent sources of intensity ratio 81 : 1 produce interference. With the help of the passage choose the most appropriate alternative for each of the following questions The ratio of slit widths of the two sources is

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