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Question

In a Young's double-slit interference experiment using a yellow light of wavelength λ, with the slits labelled S1 and S2. If P is the centre of a dark fringe on the screen on which the resulting diffraction pattern is projected, Find out the equations relating S1P and S2P which could be true?

A
S1PS2P=12λ
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B
S1PS2P=λ
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C
S1PS2P=2λ
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D
S1PS2P=3λ
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E
S1P=S2P
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Solution

The correct option is A S1PS2P=12λ
A dark fringe is formed due to destructive interference of waves from the two slits. Before entering the slits, the light was in-phase. After transversing different distances, the light from the sources must go out of phase to cause a dark fringe.
Thus S1PS2P=(n+12)λ

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