In Young’s double-slit experiment, an interference pattern is obtained on a screen by a light of wavelength 6000 Å, coming from the coherent sources S1 and S2. At certain point P on the screen third dark fringe is formed. Then the path difference S1P – S2P in microns is

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0.75

1.5

3.0

4.5

answer is B.

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Detailed Solution

For dark fringe at P S1P−S2P=Δ=(2n−1)λ/2 Here n=3 and λ=6000 A0 So, Δ=5λ2=5×60002=15000 A0=1.5 micron

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