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Q.

In Young's double slit experiment, an interference pattern is obtained on a screen by a light of wavelength 6000 A0   coming from the coherent sources S1  and S2 . At certain point p on the screen fifth dark fringe is formed. Then the path difference S1p−S2p  in micron is

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a

1.5

b

4.5

c

5.4

d

2.7

answer is D.

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Detailed Solution

Wavelength λ=6000 A0=6000×10−10 m Number of fringes n=5           Path difference Δx=(2n−1)λ2                          =(2×5−1)6×10−72                           =(10−1)6×10−72                            =9×6×10−72=5.4 2      ∴   S1P−S2P=2.7 microns
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