Q.

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 Io. Which of the following relation is true ?

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a

I=I0

b

I=2Io

c

I=4I0

d

There is no relation between I and Io

answer is C.

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Detailed Solution

Suppose slit width’s are equal, so they produces waves of equal intensity say I′. Resultant intensity at any point IR=4I′cos2⁡ϕ where ϕ is the phase difference between the waves at the point of observation. For maximum intensity ϕ=0∘⇒Imax=4I'=I ....(i)  If one of slit is closed, Resultant intensity at the same point will be I′ only i.e. I′=Io ...(ii)  Comparing equation (i) and (ii) we get  I=4IO
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