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Q.

In Young's double slit experiment, the slits are 2 mm apart and are illuminated by photons of two wavelengths λ1 = 12000 A0 and λ2 = 10000 A0. At what mmimum distance from the common central bright fringe on the screen 2 m from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other? [NEET 2013]

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a

8 mm

b

6 mm

c

4 mm

d

3 mm

answer is B.

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Detailed Solution

Given,   λ1=12000A0   and  λ2=10000A0,  D=2 m

and d = 2mm = 2 x 10-3 m

We have,   λ1λ2=1200010000=65=n2n1

As,   x=n1λ1Dd=5×12000×10-10×22×10-3

=5×1.2×104×10-10×103=6 mm

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