A common trick in fiber optics is to send several colors of light down the same fiber (this is a form of what's called multiplexing). Each color of light can carry a separate signal, letting you squeeze more information into your beam. This, of course, leaves you with the problem of how to separate the colors back out once your beam gets to where it's going. One way to do this involves total internal reflection. Specifically, the index of the glass n and the angular frequency of the light are related by n2=1+C/(w0^2−w^2−C where C = 443 x 10^30 rad^2/s^2 and w = 29.5 1015 rad/s. Since different colors of light see different indices of refraction, different colors of light will see different critical angles. Suppose we have a beam with yellow light (frequency = 3.20 x 10^15 rad/s) and red light (frequency = 2.90 x 10^15 rad/s) traveling through this glass. Eventually it’s going to hit a glass-air boundary. Required:At what angle of incidence should the light hit the boundary if we want the yellow light to stay in the glass and the red light to leave?

the answer is a. the yacht traveled from the dock north to the 200-meter marker in the bay in less than 5 minutes, giving the passengers several more hours to fish.

im doing peak rn so sry if its wrong

so here is the information for current research:

-nrel's geothermal analysts, scientists, and engineers perform a full range of research from developing advanced methods of locating and accessing geothermal resources to exploring innovative technologies to extract and produce clean energy from the heat of the earth

and here is the information for the technology of geothermal energy:

-it's clean and sustainable

-resources of geothermal energy range from the shallow ground to hot water and hot rock found a few miles beneath the earth's surface, and down even deeper to the extremely high temperatures of molten rock called magma

-almost everywhere, the shallow ground or upper 10 feet of the earth's surface maintains a nearly constant temperature between 50° and 60°f (10° and 16°c)

-geothermal heat pumps can tap into this resource to heat and cool buildings

-a geothermal heat pump system consists of a heat pump, an air delivery system (ductwork), and a heat exchanger-a system of pipes buried in the shallow ground near the building

-in the winter, the heat pump removes heat from the heat exchanger and pumps it into the indoor air delivery system

-in the summer, the process is reversed, and the heat pump moves heat from the indoor air into the heat exchanger

-the heat removed from the indoor air during the summer can also be used to provide a free source of hot water

a.   mass number from atomic number