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In Young's double slit experiment two coherent sources of intensity ratio of 64 :1, produce interference fringes. Calculate the ratio of maximum and minimum intensities. Data : I_(1) : I_(2) :: 64 : 1, (I_(max))/(I_(min))=?

Answer»

Solution :`(I_(1))/(I_(2))=(a_(1)^(2))/(a_(2)^(2))=(64)/(1)`
`:.(a_(1))/(a_(2))=(8)/(1)` or `a_(1)=8a_(2)`
`(I_(MAX))/(I_(MIN))=((a_(1)+a_(2))^(2))/((a_(1)-a_(2))^(2))=((8a_(2)+a_(2))^(2))/((8a_(2)-a_(2))^(2))`
`=((9a_(2))^(2))/((7a_(2))^(2))=(81)/(49)`
`:.I_(max) : I_(min) : : 81 : 49`


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