Calculate the critical angle for light to travel from glass (n = 1.56) to water (n = 1.33).

(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 =

Consider a light ray that enters and exits a prism as shown below. Suppose the material of the prism is unknown but the surrounding material has index of refraction n, = 1.3. Find the index of refraction for the material of the prism. n2 n1 22° 38° 9. n, = А. 1.479 D. 1.586 В. 1.635 Е. 1.333 С. 1.389 F. 1.527

A light ray in air (n = 1.00) hits turpentine (n = 1.47) at an angle of 35° to the surface. Determine the angle of refraction.

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

Consider white light incident on a plate of crown glass. The angle of incidence is 29.4 degrees.   What is the difference in the angle of refraction between red (660 nm) and blue (470 nm) rays? (Indices of refraction: nred= 1.52; nblue= 1.531).           The ray now travels inside the glass. What is the minimum angle of incidence for the red ray to be totally reflected?

In the figure, light is incident at angle 8₁ = 39° 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 = 1.28, n₂ = 1.38, n3 = 1.34 and n4 = 1.45, what is the value of (a) 05 and (b) 04? 18₁ Air m n₂ 173 na