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Q.

In Young’s double slit experiment, the slits are 2mm apart and are illuminated by photons of two wavelengthsλ1=12000A and λ2=10,000A. At what minimum distance from the common central bright fringe on the screen 2m from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other ?

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a

3 mm

b

8 mm

c

6 mm

d

4 mm

answer is C.

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Detailed Solution

1=(n+1)λ2;n(12000)=(n+1)(10000)6n=(n+1)5;n=5n+1=61=ydD;5×12000×1010=y×2×1032y=60×107103;y=6×103; y=6mm

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