Question
If the separation between the slits in a Young's double slit experiment is increased, what happens to the fringe-width? If the separation is increased too much, will the fringe pattern remain detectable?

Answer

The fringe width in Young's double slit experiment depends on the separation of the slits.
$\text{x}=\frac{\lambda\text{D}}{\text{d}},$
where
$\lambda$ = wavelength
x = fringe width
D = distance between slits and screen
d = separation between slits
On increasing d, fringe width decreases. If the separation is increased too much, the fringes will merge with each other and the fringe pattern won't be detectable.

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