Prove that `mu=1/sinC` where C is the critical angle?

For a ray of light travelling from a denser medium of refractive index mu_1 to a rarer medium of refractive index mu_2 ,prove that (mu_2)/(mu_1) = sin C , where C is the critical angle of incidence for the media.

What do you mean by critical angle?

How polarising angle is related to critical angle.?

A glass slab is immersed in water.Find the critical angle at glass-water interface.Given, mu^a_g = 1.5 and mu^a_w=1.33 .

For glass-air interface,the critical angle is C.Will the critical angle for glass-water interface be greater or less than C?

A right angle prism (45^@-90^@-45^@) of refractive index mu has a plate of refractive index mu,(mu_1 lower than mu) cemented to its diagonal face.The assembly is in air.A ray is incident at face AB as shown in Fig.3.15 . Calculate the angle of incidence at face AB for which the ray strikes the diagonal face at critical angle.

Show that the limiting value of the angle of prism is twice its critical angle.

What happens if angle of incidence is more than critical angle?

Derive a relation between refractive index and critical angle.