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Question

(C) When a light wave enters a medium of refractive index $\mu$, its wavelength becomes $\lambda^{\prime} = \frac{\lambda}{\mu}$.Fringe width in $	ex

Vedclass · Accepted Answer

$1.35$

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(C) When a light wave enters a medium of refractive index $\mu$, its wavelength becomes $\lambda^{\prime} = \frac{\lambda}{\mu}$.Fringe width in $	ext{YDSE}$ is given by $\beta = \frac{\lambda^{\prime} D}{d}$.Given: $\lambda = 550 	imes 10^{-9} \ m$, $D = 0.6 \ m$, $d = 0.2 	imes 10^{-3} \ m$, and $\mu = \frac{11}{9}$.Substituting the values:$\beta = \frac{(\lambda / \mu) D}{d} = \frac{\lambda D}{\mu d} = \frac{550 	imes 10^{-9} 	imes 0.6}{(11/9) 	imes 0.2 	imes 10^{-3}}$.$\beta = \frac{550 	imes 10^{-9} 	imes 0.6 	imes 9}{11 	imes 0.2 	imes 10^{-3}} = \frac{330 	imes 10^{-9} 	imes 9}{2.2 	imes 10^{-3}} = \frac{2970 	imes 10^{-9}}{2.2 	imes 10^{-3}} = 1350 	imes 10^{-6} \ m = 1.35 \ mm$.

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