Two light rays having the same wavelength
in vacuum are in phase initially. Then, the first ray travels a path
through a medium of refractive index
while the second ray travels a path of length
through a medium of refractive index
. The two waves are then combined to produce interference. Find the phase difference between two waves:
Text Solution
Verified by ExpertsB
The distance traversed by light in a medium of refractive index
in time
is given by:
… ..(i)
where, v is velocity of light in the medium. The distance traversed by light in a vacuum in this time, 
[from Eq. (i)]
… .(ii) 
Here, optical path for first ray
Optical path for second ray
Path difference
Now-phase difference
path difference

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