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  4. In Young's double slit experiment with monochromatic light, the central fringe will be

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Q. In Young's double slit experiment with monochromatic light, the central fringe will be

J & K CETJ & K CET 2005Wave Optics

Solution:

In Young's double slit experiment, for maximum intensity (bright fringe)
$ x=m\frac{D\lambda }{d} $
where $m$ is path difference, $D$ the distance between screen and coherent sources, $d$ the distance between coherent sources and $k$ the wavelength.
Putting $ m=0, $ we get the position of the central bright fringe (which is called zero order fringe).
Hence, at point $O$ the path difference between two wavelets is zero.
Hence, at $O$ there is always a bright fringe. This is called the central fringe.

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