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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 S₁and 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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detailed solution

Correct option is B

For dark fringe at PS1P−S2P=Δ=(2n−1)λ2Here n = 3 and λ=6000So, Δ=5λ2=5×60002=15000Å=1.5 micron

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