Two coherent sources are 0.15mm apart and fringes are observed at 1m away with monochromatic light of $λ = 6000 A^{0}$ find the fringe width in air and in a liquid of refractive index 5/2

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2mm 1.6

1.6mm 4mm

4mm,2mm

4mm, 1.6mm

answer is C.

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Detailed Solution

$\begin{array}{l} β = \frac{λD}{d} = \frac{6000 \times 10^{- 10} \times 1}{0 .15 \times 10^{- 3}} \Rightarrow β = 4 mm \\ β_{med} = \frac{β}{μ} = \frac{4}{5 / 2} = \frac{8}{5} = 1 .6 mm \end{array}$

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