Problem 08: A triangular glass prism, with index of refraction ng, is immersed in a strongly refracting, transparent liquid (not water!) with index of refraction nµ. A light ray, traveling through the liquid, strikes the bottom-left surface of the prism and is refracted into the prism, as shown below, with the angles a = 72° and B = 39. State the values of the Angle of Incidence (Aol) and of the Angle of Refraction (AoR) of this refraction process, and whether the glass or the liquid has the greater index of re- fraction. B (A) Aol= 72°, AoR=39° (B) Aol= 18 (C) Aol= 18° (D) Aol= 72° , nc > L - AoR= 51° , nL > nG - AoR=51° ng > n . AoR= 39° (E) Aol= 18 AoR= 39°

A ray of light from a coin embedded in an unknow solid undergoes total internal reflection if the angle of incidence is larger than the critical angle. The light in the figure is incident at the critical angle. (a) What is the critical angle? (b) What is the index of refraction of this solid? coin solid, n = ? 18.0 cm air, n = 1 16.0 cm

Using filters, a physicist has created a beam of light that consists of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). He aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of 0, = 43.8°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction n 400 nm = 1.53 n 500 nr = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? 400 nm light is bent the most 500 nm light is bent the most 650 nm light is bent the most all colors are refracted alike (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) O400 nm (ii) O500 nm (iii) O650 n O nm

As shown in the figure, a light beam travels from air, through olive oil, and then into water. If the angle of refraction 0, for the light in the olive oil is 29.6°, determine the angle of incidence 0, in air and the angle of refraction 03 in water. The index of refraction for olive oil is 1.47. 0, = 83 = air n2 oil 13 water