First slide

Coherent sources and their importance in interference

Question

A young’s double slit arrangement produce interference fringes for sodium light $λ = 5890 \overset{o}{A}$
that are ${0.15}^{0}$ apart. What is the angular fringe separation, if the entire arrangement is immersed in liquid of refractive index 5/3.

Moderate

A

${0.09}^{0}$
B

${0.12}^{0}$
C

${0.15}^{0}$
D

${0.20}^{0}$

Solution

$θ = \frac{β}{D} F r i n g e w i d t h, β = \frac{D λ}{d} \Rightarrow θ = \frac{λ}{d} W h e n w h o l e s y s t e m i s i m m e r s e d i n l i q u i d t h e n λ b e c o m e s \frac{λ}{n} \Rightarrow θ = \frac{3 λ / 5}{d} = \frac{3}{5} (\frac{λ}{d}) = \frac{3}{5} (0.15) = {0.09}^{0}$

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