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Q. White light is used in Young's double slit experiment. Separation between slits is $y$ and the screen is at distance $x$ from slits $(x > > y)$. Which of these wavelengths is missing in front of one of the slits?

Wave Optics

Solution:

image
Distance of minima from central maxima
$y_{1}=\frac{(2 m-1) \lambda D}{2 d}$
$y_{1}=\frac{y}{2}, d=y, D=x$
$\lambda=\frac{y^{2}}{(2 m-1) x}$
$m=1,2,3, \ldots$