a ray of light incident on one of the faces of a glass prism of angle A has an angle of incidence 2A. the refracted ray in the prism strikes the opposite face which is silvered,the reflected ray from it retracting its path. find the relation between the refractive index of the prism and the angle of the prism
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angle of incidence=2A
from the figure:∠ MON=90-A
∠r=90-(90-A)
∠r= A
by snell's law
:n=sin i/sinr
=sin2A/sinA
=2sinAcosA/sinA
=2CosA
∴Relation between n and A is n=2CosA
from the figure:∠ MON=90-A
∠r=90-(90-A)
∠r= A
by snell's law
:n=sin i/sinr
=sin2A/sinA
=2sinAcosA/sinA
=2CosA
∴Relation between n and A is n=2CosA
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