Materials at 20°C for light with a vacuum wavelength of 589 nm. n Material n Material Material benzene carbon disulfide carbon tetrachloride ethanol glycerine water (fresh) 1.501 1.628 1.461 1.361 1.473 1.333 diamond fluorite glass (crown) glass (flint) ice (0°C) polystyrene 2.419 1.434 1.52 1.66 1.309 1.49 plexiglas quartz (crystalline) quartz (fused) sodium chloride zircon air n 1.51 1.544 1.458 1.544 1.923 1.00029

General Physics II #3 #31

If we consider an instance where light (f1 = 5.5 x 1014 Hz) travels from medium 1 to medium 2. The index of refraction for medium 1 is 1.2 and medium 2 is 1.6. The angle of incidence of Θ1 is 68 degrees. What is the frequency in medium 2?What is the velocity of light in medium 2?Find the angle of refraction, Θ2?

A light ray enters a rectangular block of plastic at an angle 0, = 47.8° and emerges at an angle 0, = 73.2°, as shown in the figure below. (a) Determine the index of refraction of the plastic. (b) If the light ray enters the plastic at a point L = 50.0 cm from the bottom edge, how long does it take the light ray to travel through the plastic? ns

The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n 1.08.) n = 1,60 n = 1.40 n = 1.20 (a) If 0, = 20.0°, what is the angle 0, of the emerging beam? (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium with n. = 1.08?

Air has an index of refraction of 1.00. Water has an index of refraction of 1.33. Consider a pool of water that is perfectly calm and 3.21 meters deep. A ray of light (or a laser beam, if you like) enters the water, refracts, and ultimately hits the bottom of the pool. Find the distance between the point where the light enters the water and the point where the light hits the bottom of the pool if the angle between the ray in air and the surface of the pool is 46.4 degrees. Answer in meters.

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.

(a) A small light fixture on the bottom of a swimming pool is 0.86 m below the surface. The light emerging from the still water forms a circle on the water surface. What is the diameter of this circle? (Give your answer, in m, to at least two decimal places.) m (b) What If? If a 1.58 cm thick layer of oil (noil 1.35) is spread uniformly over the surface of the water, what is the diameter of the circle of light emerging from the swimming pool? (Give your answer, in m, to at least two decimal places.) m =

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?