A certain type of glass has an index of refraction of $1.62$ for red light. $\text{(a)}$ At what angle will light (in air) be completely polarized when reflected by the glass? $\text{(b)}$ Will the reflection angle for complete polarization of blue light be larger or smaller?

In the figure, the light is incident at an angle ${\text{θ}}_1=40.1°$ 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 $n_1=1.30, n_2=1.40$, $n_3=1.32$ and $n_4=1.75,$ what is the value of (a) ${\text{θ}}_5$ in the air and (b) ${\text{θ}}_4$ in the bottom material?

An isotropic point source emits light at wavelength $500 \mathrm{nm}$ at the rate of $300 \mathrm{W}.$ A light detector is positioned $400 \mathrm{m}$ from the source. What is the maximum rate $\frac{\partial B}{\partial t}$ at which the magnetic component of the light changes with time at the detector's location?

Dispersion in a window pane. In the figure (a), a beam of white light is incident at angle $\mathrm{\theta }=40°$ on a common window pane (shown in cross section). For the pane's type of glass, the index of refraction for visible light ranges from $1.524$ at the blue end of the spectrum to $1.509$ at the red end. The two sides of the pane are parallel. What is the angular spread of the colors in the beam (a) when the light enters the pane and (b) when it emerges from the opposite side? (Hint: When you look at an object through a window pane are the colors in the light from the object dispersed as shown in figure (b, c)?)

(a)

(b) 

(c) 

In the figure, a ray of light is perpendicular to the face $ab$ $(n=1.81).$ Find the largest value for the angle $\mathrm{\varphi }$, so that the ray is totally reflected at face $ac$ if the prism is immersed (a) in air and (b) in water.

Figure shows the light reflecting from two perpendicular reflecting surfaces $A$ and $B.$ Find the angle between the incoming ray $i$ and the outgoing ray $r^{\mathit{\text{'}}}.$

In the figure (a), a beam of light in material $1$ is incident on a boundary at an angle of ${\text{θ}}_1=30°.$ The extent of refraction of the light into material $2$ depends on the index of refraction $n_2$ of material $2 .$ Figure (b) gives the angle of refraction ${\text{θ}}_2$ versus $n_2$ for a range of possible $n_2$ values. The vertical axis scale is set by ${\text{θ}}_{2\mathrm{a}}=20.0°$ and ${\text{θ}}_{2\mathrm{b}}=40.0°.$ (a) What is the index of refraction of material $1?$ (b) If the incident angle is changed to $65°$ and material $2$ has $n_2=2.4,$ then what is angle ${\text{θ}}_2?$

$\left(\mathrm{a}\right)$ 

$\left(\mathrm{b}\right)$