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Q.

In a Young’s double slit experiment, two slits are illuminated by a mixture of two wavelengths 12000A0 and 10000A0 . At 6.0 mm from the common central bright fringe on a screen 2 m away from the slits, a bright fringe of one interference pattern coincides with the bright fringe of other. Calculate the distance (in mm) between the slits.

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a

1

b

2

c

3

d

4

answer is B.

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Detailed Solution

Let say the distance of common bright fringe from CB is x. Also, nth Maxima of λ1 coincides with (n+1)th Maxima of λ2. x=nλ1Dd=n+1λ2Dd ⇒n×12000=n+1×10000 ⇒n=5  Now, use  x=nλDd ⇒d=nλDx=5×12000×10−10×26×10−3=2×10−3m=2 mm
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