Question

A ray R
incident on the plane surface of the glass slab(kept in air)
of refractive index
V2
at an angle of incidence equal to the critical angle for this
air glass system. The refracted ray
Piz
undergoes partial reflection and refraction at the other
surface. The angle between reflected ray
Piz and the refracted ray P4 at that surface is:
R
R
R.
R​

Answer 1

Explanation:

sinϕ1=n1=21⟹ϕ1=4π

sinϕ1=n1=21⟹ϕ1=4πAccording to the law of refraction;

sinϕ1=n1=21⟹ϕ1=4πAccording to the law of refraction;sinϕ1=n.sinϕr

sinϕ1=n1=21⟹ϕ1=4πAccording to the law of refraction;sinϕ1=n.sinϕrTherefore,

sinϕ1=n1=21⟹ϕ1=4πAccording to the law of refraction;sinϕ1=n.sinϕrTherefore,sinϕr=nsinϕi=21⟹ϕr=6π

The angle θ between rays R3 and R4 is given by,

θ=π−(ϕi+ϕr)=π−(4π+6π)=127π=1050