The drawing shows a ray of light traveling through three materials whose surfaces are parallel to each other. The refracted rays (but not the reflected rays) are shown as the light passes through each material. A ray of light strikes the a–b interface at a 50.0° angle of incidence. The index of refraction of material a is na=20. The angles of refraction in materials b and c are, respectively, 45.0° and 56.7°. a) Find the indices of refraction in these two media. b) What is the critical angle for the b-c interface?

A layer of oil (n = 1.45) floats on an unknown liquid. A ray of light originates in the oil and passes into the unknown liquid. The angle of incidence is 62.8 degrees, and the angle of refraction is 62.0 degrees. What is the index of refraction of the unknown liquid?

A ray of light travels from air into another medium, making an angle of θ1 = 45.0° with the normal A light ray in air is moving down and to the right and is incident on a second medium. It makes an angle θ1 with the vertical. Inside the vertical, it continues to move down and to the right but at a steeper slope than the incident ray. It makes an angle θ2 with the vertical. (a) Find the angle of refraction θ2 if the second medium is sodium chloride. °(b) Find the angle of refraction θ2 if the second medium is diamond. °(c) Find the angle of refraction θ2 if the second medium is benzene. °

A ray of light strikes a slab of glass at an angle of incidence of 35°. The angle of refraction in the glass is O 22° O 15.4° O 29.5° O 27.6° 35° n = 1.33 Glass n = 1.55

A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction?   Calculate to 1decimal.

Using filters, a physicist has created a beam of light consisting of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). She 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  ?1 = 31.5°. 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 n400 nm = 1.53 n500 nm = 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?   (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) ?400 nm   (ii) ?500 nm   (iii) ?650 nm

A beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 60° with the normal, and the refracted beam make an angle of 50° with the normal. What is the speed of light in the transparent material? (c = 3.0 × 108 m/s) Provide the answer: x 108 m/s

A ray of light crosses the boundary between some substance with n = 1.61 and air, going from the substance into air. If the angle of incidence is 18◦ what is the angle of refraction?   Calculate to 1decimal.

A layer of oil (n = 1.45) floats on an unknown liquid. A ray of light originates in the oil and passes into the unknown liquid. The angle of incidence is 60.9 degrees, and the angle of refraction is 69.2 degrees. What is the index of refraction of the unknown liquid?

A light ray in a vacuum is an incident on an equilateral triangular prism. It makes an angle of 13.2 degrees with the normal of the prism's surface. It makes an angle of 12.4 degrees with the normal after entering the prism. What is the angle it makes with the far side's normal after exiting the prism?