Two light waves having the same wavelength $\lambda $ in vacuum are in phase initially. Then the first wave travels a path L1 through a medium of refractive index n1 while the second wave travels a path of length L2 through a medium of refractive index n2 . After this the phase difference between the two waves is :

Question

Two light waves having the same wavelength $\lambda $ in vacuum are in phase initially. Then the first wave travels a path L₁ through a medium of refractive index n₁ while the second wave travels a path of length L₂ through a medium of refractive index n₂ . After this the phase difference between the two waves is :

${{2\pi } \over \lambda }\left( {{n_1}{L_1} - {n_2}{L_2}} \right)$

${{2\pi } \over \lambda }\left( {{n_2}{L_1} - {n_1}{L_2}} \right)$

${{2\pi } \over \lambda }\left( {{{{L_1}} \over {{n_1}}} - {{{L_2}} \over {{n_2}}}} \right)$

${{2\pi } \over \lambda }\left( {{{{L_2}} \over {{n_1}}} - {{{L_1}} \over {{n_2}}}} \right)$

Solution

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