Q. In an experiment to demonstrate interference of flight using Young's slits, separation of two slits is doubled. In order to maintain same spacing of fringes, distance $D$ of screen from slits must be changed to :

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Solution:

In YDSE, we know fringe width is given as
$\beta=\frac{\lambda D}{d}=\frac{\lambda(2 D)}{2 d}=\beta $
$\Rightarrow D^{\prime} =2 \,D$