A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00-cm-thick flat piece of crown glass and back to air again. The beam strikes at a $30.0^{\circ}$ incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?

Three polarizing sheets are placed together such that the transmission axis of the second sheet is oriented at $25.0^{\circ}$ to the axis of the first, whereas the transmission axis of the third sheet is oriented at $40.0^{\circ}$ (in the same sense) to the axis of the first. What fraction of the intensity of an incident unpolarized beam is transmitted by the combination?

At what minimum angle will you get total internal reflection of light traveling in water and reflected from ice?

Determine the critical numbers of the given function and classify each critical point as a relative maximum, a relative minimum, or neither. $f(t)=2 t^{3}+6 t^{2}+6 t+5$

The path of a light beam in air goes from an angle of incidence of $35^{\circ}$ to an angle of refraction of $22^{\circ}$ when it enters a rectangular block of plastic. What is the index of refraction of the plastic?

A beam of white light goes from air into water at an incident angle of $75.0^{\circ}$. At what angles are the red (660 nm) and violet (410 nm) parts of the light refracted?

How far does light travel underwater during a time interval of $1.50 \times 10^{-6}$ s ?

A light ray entering an optical fiber surrounded by air is first refracted and then reflected as shown in the given figure. Verify that if the fiber is made from crown glass, any incident ray will be totally internally reflected.

Add: 70.02 + 0.0013 + 9.062 + 0.142

Components of some computers communicate with each other through optical fibers having an index of refraction $n = 1.55$. What time in nanoseconds is required for a signal to travel 0.200 m through such a fiber?

A scuba diver training in a pool looks at his instructor. What angle does the ray from the instructor’s face make with the perpendicular to the water at the point where the ray enters? The angle between the ray in the water and the perpendicular to the water is $25.0^{\circ}$ .

A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00 cm thick flat piece of crown glass and back to air again. The beam strikes at a $30.0^{\circ}$ incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?

When the first two astronauts landed on the Moon, a third astronaut remained in an orbiter in circular orbit near the Moon’s surface. During half of every complete orbit, the orbiter was behind the Moon and out of radio contact with the Earth. On each orbit, how long was the time when radio contact was lost?

A monochromatic light source with power output 60.0 W radiates light of wavelength 700 nm uniformly in all directions. Calculate $E_{\max }$ and B for the 700-nm light at a distance of 5.00 m from the source.