Question

A ray of light traveling through air is incident upon a sheet of crown glass (n = 1.52) at an angle of 30 degree to the normal. What is the angle of refraction? A ray of light passes into water from air at an angle of 50 degree to the lake's surface. What is the angle of refraction? What is the speed of light in the water? Calculate the s of light in a diamond. A block of unknown material is submerged in water. Light in the water is incident on the surface at an angle of 31 degree. The angle of refraction is 27 degree. What is the speed of light in the unknown material? What is the critical angle for light rays passing from diamond (n = 2.42) into air? What is the critical angle for light rays passing from quartz (n = 1.54) into water (n = 1.33)? The critical angle for light rays passing from water into air is 48.75 degree, what is the index of refraction of water? What is the thinnest film of a 1.40 refractive index coating on glass (n = 1.50) for which destructive interference of the green component (500 nm) of an incident white light beam in air can take place by reflection?
Please show work. Thank you

Answer 1

We know from Snell's law

$\frac{sin\theta_{1}}{sin\theta_{2}} = \frac{n_{2}}{n_{1}}$

Therefore

$\theta_{2} = sin^{-1}\bigg(\frac{n_1}{n_2} sin\theta_1\bigg) = 19.20^0$