Light of frequency 60 x 1014 hertz strikes a glassair

Question

Light of frequency 6.0 x 10^14 hertz strikes a glass/air boundary at an angle of incidence θ₁. The ray is partiallyreflected and partially refracted at the boundary, as shown above.The index of refraction of this glass is 1.6 of this frequency.

a. Determine the value of θ₃ if θ₁=30^o.

b. Determine the value of θ₂ if θ₁=30^o

c.Determine the speed of this light in the glass.

d. Determine the wavelength of this light in the glass.

e. What is the largest value of θ₁ that will resultin a refracted ray.?