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Q.

Young’s double slit experiment is first performed in air and then in a medium other than air.It is found that 8th bright fringe in the medium lies where 5th dark fringe lies in air. The refractive index of the medium is nearly:

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a

1.69

b

1.25

c

1.59

d

1.78

answer is A.

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Detailed Solution

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$\begin{array}{l} y_{1} = y_{2} \Rightarrow \frac{({Δx}_{1}) D}{d} = \frac{({Δx}_{2}) D}{d} \\ \Rightarrow η_{1} λ_{m} = \frac{(2 n_{2} - 1) λ_{a}}{2}; 8 λ_{m} = \frac{(2 \times 5 - 1) λ_{a}}{2} \\ \frac{8}{4 .5} = \frac{λ_{a}}{λ_{m}} = μ; μ = \frac{16}{9} = 1 .77 \end{array}$

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