An aquarium contains a 5-cm layer of water (n = 1.33) floating on top of carbon tetrachloride (n = 1.461). If the angle of incidence into the water from the air is 55°, what is the angle of refraction into the carbon tetrachloride?

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

A beaker with a mirrored bottom is filled with a liquid whose index of refraction is nliq = 2.37. A light ray from air strikes the top surface of the liquid at an incident angle θin = 72.9° from the normal line to the liquid surface, as shown in the figure. What is the refraction angleθ1 of the light ray as it enters the liquid (in degrees; remember to use the scientific notation of numbers)?

A ray of light is incident at angle ?θ = 59° on the side of two stacked transparent blocks. The bottom block has index of refraction ?1n1 = 1.41. The ray enters the top block at angle ?ϕ = 40.6°. What is the index of refraction ?2n2 of the top block? Note: Angles may not be drawn to scale.

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

In the figure, light is incident at angle θ1 = 37˚ on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.26, n2 = 1.42, n3 = 1.32 and n4 = 1.45, what is the value of (a) θ5 and (b) θ4?

The critical angle for total internal reflection within a fiber optic cable is θC = 24.1°. What is the index of refraction (n) for the material it's made from?

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?