In Young's double slit experiment,a mica shee | vedclass

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(B) When a mica sheet of thickness $t$ and refractive index $\mu$ is introduced in the path of one of the interfering beams,an additional optical path

Vedclass · Accepted Answer

$\frac{D}{d}(\mu - 1)t$

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(B) When a mica sheet of thickness $t$ and refractive index $\mu$ is introduced in the path of one of the interfering beams,an additional optical path difference is created.The optical path difference introduced is $\Delta x = (\mu - 1)t$.Let the fringe pattern shift by a distance $y$ on the screen. The path difference at a point $y$ on the screen is given by $\Delta x = \frac{yd}{D}$,where $d$ is the distance between the slits and $D$ is the distance between the slits and the screen.Equating the two expressions for path difference:$(\mu - 1)t = \frac{yd}{D}$Solving for $y$:$y = \frac{D}{d}(\mu - 1)t$Therefore,the fringe pattern is displaced by a distance of $\frac{D}{d}(\mu - 1)t$. Thus,option $B$ is correct.

In Young's double slit experiment,a mica sheet of thickness $t$ and refractive index $\mu$ is introduced in the path of the ray from the first source $S_1$. By what distance will the fringe pattern be displaced?

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