Question 326: Wave Optics

Question

One of the slits in Young's double slit experiment is covered with a transparent sheet of thickness $$2.9 	imes 10^{-3} \mathrm{~cm}$$. The central fringe shifts to a position originally occupied by the $$25^{	ext {th }}$$ bright fringe. If $$\lambda=5800$$ $$\mathop A\limits^o $$, the refractive index of the sheet is

Accepted Answer

As it is given that a transparent sheet of certain thickness is inserted, we use
$$\begin{aligned}
& (\mu-1) 	imes t=N \lambda \
& 25 \lambda=(\mu-1) t \
& \mu-1=\frac{25 \lambda}{t}
\end{aligned}$$
$$	herefore \quad$$ The refractive index of the sheet is:
$$\begin{aligned}
& \mu=\frac{25 	imes 5800 	imes 10^{-10}}{2.9 	imes 10^{-5}}+1 \
& \mu=1.50
\end{aligned}$$

Answer

1.65

Answer

1.60

Answer

1.55

Answer

1.50

Wave Optics

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