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Two waves having same wavelength $λ$ in vaccum are in phase initially. First wave travels a path length $L_{1}$ in medium of refractive index $n_{1}$ and second wave travels path length $L_{2}$ in medium of refractive index $n_{2}$ . They are now combined in vaccum. Based on above information choose correct option(s).

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Phase difference between waves after combination is $\frac{2 π}{λ} (n_{1} L_{1} - n_{2} L_{2})$

Frequency of both waves remains unchanged when they travel through different medium.

Phase difference between waves after combination is $\frac{2 π}{λ} (\frac{L_{1}}{n_{1}} - \frac{L_{2}}{n_{2}})$

Frequency of wave in medium with more refractive index will be more.

answer is A, B.

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Detailed Solution

Optical path difference = $(n_{1} L_{1} - n_{2} λ_{2})$

$Δ ϕ = \frac{2 π}{λ} Δ x$

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