A narrow beam of light from a laser travels through air (n=1.00) and strikes point A on the surface of the water (n=1.33) in a lake. The angle of incidence is $55^{\circ}$. The depth of the lake is 3.0 m. On the flat lake-bottom is point B, directly below point A. (a) If refraction did not occur, how far away from point B would the laser beam strike the lake-bottom? (b) Considering refraction, how far away from point B would the laser beam strike the lake-bottom?

A school has a pep band, a sports band, a marching band, and a concert band. In each band, there are 2 trombones for every 5 trumpets. Complete the table for the bands.

$$\begin{array} {|l|c|c|} \hline \text{Band} & \text{Trombones} & \text{Trumpets}\\ \hline \text{Pep} & \text{2} & \text{ }\\ \hline \text{Sports} & \text{4} & \text{ }\\ \hline \text{Marching} & \text{ } & \text{20}\\ \hline \text{Concert} & \text{ } & \text{15}\\ \hline \end{array}$$

A narrow light beam from a laser travels through water and then passes through a hollow right triangular prism filled with air submerged in the water. The light exits the vertical back side of the prism and is now traveling (a) parallel to the original direction. (b) bent down toward the base of the prism. (c) along the identical path that it entered the prism (d) bent upward away from the base of the prism.

The speed of light in a vacuum is $2.998 \times 108 \ \mathrm { m } / \mathrm { s } .$ What is its speed in a

mi/min?

The refractive indices of materials A and B have a ratio of

$$n _ { A } / n _ { B } = 1.33$$

The speed of light in material A is

$$1.25 \times 10 ^ { 8 } \mathrm { m } / \mathrm { s }$$

What is the speed of light in material B?

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 $64.0^{\circ}$, and the angle of refraction is $53.0^{\circ}$. What is the index of refraction of the unknown liquid?

In a certain time, light travels 6.20 km in a vacuum. During the same time, light travels only 3.40 km in a liquid. What is the refractive index of the liquid?

The electric and magnetic fields of an electromagnetic wave at a certain instant. Is the wave traveling into the page or out of it?

The frequency of a light wave is the same when the light travels in ethyl alcohol as it is when it travels in carbon disulfide. Find the ratio of the wavelength of the light in ethyl alcohol to that in carbon disulfide.

A narrow white light beam is incident on a block of fused quartz at an angle of $30.0^{\circ}$. Find the angular width of the light beam inside the quartz.

A plate glass window (n = 1.5) has a thickness of

$$4.0 \times 10 ^ { - 3 } \mathrm { m }$$

How long does it take light to pass perpendicularly through the plate?

A light ray is incident from water, whose index of refraction is $1.33$, on a plate of glass whose index of refraction is $1.73$. What angle of incidence will result in fully polarized reflected light?

A drop of water on a countertop reflects light from a flower held 3.0 cm directly above it. The flower's diameter is 2.0 cm, and the diameter of the flower's image is 0.10 cm. What is the focal length of the water drop, assuming that it may be treated as a convex spherical mirror?

A coin is resting on the bottom of an empty container. The container is then filled to the brim three times, each time with a different liquid. An observer (in air) is directly above the coin and looks down at it. With liquid A in the container, the apparent depth of the coin is 7 cm, with liquid B it is 6 cm, and with liquid C it is 5 cm. Rank the indices of refraction of the liquids in descending order (largest first). (a) $n_{\mathrm{A}}$, $n_{\mathrm{B}}$, $n_{\mathrm{C}}$, (b) $n_{A}$, $n_{C}$, $n_{\mathrm{B}}$, (c) $n_{\mathrm{C}}$, $n_{\mathrm{A}}$, $n_{\mathrm{B}}$, (d) $n_{\mathrm{C}}$, $\mathrm{n}_{\mathbf{B}}$, $n_{\mathrm{A}}$, (e) $n_{\mathrm{B}}$, $n_{\mathrm{A}}$, $n_{\mathrm{C}}$.