When light passes from a more-dense to a less-dense medium—from glass to air, for example—the angle of refraction predicted by snell's law can be 90° or larger. in this case the light beam is actually reflected back into the denser medium. this phenomenon, called total internal reflection, is the principle behind fiber optics. snell's law is given below. sin(θ1) sin(θ2) = v1 v2 set θ2 = 90° in snell's law and solve for θ1 to determine the critical angle of incidence at which total internal reflection begins to occur when light passes from diamond to air. (note that the index of refraction from diamond to air is the reciprocal of the index from air to diamond. round your answer to one decimal place.)

Explanation:

= Refractive index of air = 1

= Refractive index of diamond = 2.41

= Angle in air

= Angle in diamond = 90° (TIR)

From Snell's law we have

The angle will be

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.