Q. What happens to the fringe pattern when the Young's double slit experiment is performed in water instead of air?

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Solution:

In water, wavelength of light decreases by a factor , the refractive index of water. In Young's double slit experiment, let screen is placed at a distance is the distance between coherent sources.
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The fringe width is given by

where, is wavelength of light used.
When the whole setup is dipped in water, wavelength is hence, it decreases.
Therefore, fringe width decreases and hence, fringe pattern shrinks.