Fringe width: $\beta = \frac{\lambda D}{d}$
In liquid, $\lambda' = \frac{\lambda}{\mu}$
$$\beta' = \frac{\lambda' D}{d} = \frac{\lambda D}{\mu d} = \frac{\beta}{\mu}$$
Verified 30 May 2026.
In Young's double slit experiment, the fringe width is $\beta$. If the entire arrangement is immersed in a liquid of refractive index $\mu$, the fringe width becomes:
$\frac{\beta}{\mu}$
$\beta\mu$
$\frac{\beta}{\mu^2}$
$\beta\mu^2$
Fringe width: $\beta = \frac{\lambda D}{d}$
In liquid, $\lambda' = \frac{\lambda}{\mu}$
$$\beta' = \frac{\lambda' D}{d} = \frac{\lambda D}{\mu d} = \frac{\beta}{\mu}$$
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