The xy plane is the boundary between two transparent media. Medium 1 with 
has a refractive index of 
and medium 2 with 
has refractive index of 
. A ray of light in medium 1 given by the vector 
is incident of the plance of separation. Find the angle of refraction in medium 2 vector in the direction of the refracted ray in medium 2
Text Solution
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Unit vector representing the normal to the plane 
Component of the incident ray along the normal is 
The unit vector that represents the plane of the incident ray and the normal
Angle between the incident ray and the normal is given by
or 
Therefore, the angle 
The angle of incidence is 
The angle of the refracted beam is given by
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