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The maximum intensity of fringes in Youn...

The maximum intensity of fringes in Young's experiment is I. If one of the slit is closed, then the intensity at that place becomes `I_o`. Which of the following relation is true?

Text Solution

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Suppose slit width's are equal, so they produces waves of equal intensity say I'. resultant intensity at any point `I_R=4 I' cos^2 phi` where `pi`is the phase difference between the waves at the point of observation.
For maximum intensity `phi=0^@impliesI_(max)=41'=I`.....(i)
If one of slit is closed, Resultant intensity at the same point will be I' only i.e., `I_0`.....(ii)
Comparing equations (i) and (ii) we get
`I=4I_0`
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