Category: sunlight

At what angles do light rays reflect out of a prism? — BC, Farmersville, TX

It depends on the shape of the prism and the angle at which the light arrived at the prism. Whenever light’s speed changes as it passes through a surface at an angle, the light bends. Since light travels faster in air than in glass (or plastic), it bends when it goes from air to glass or from glass to air. When light enters glass, it slows down and it bends toward the normal to the surface (toward the line that’s at right angles to the surface). When light leaves glass, it speeds up and it bends away from the normal to the surface. To know exactly how far the light bends, you need to know how much the glass slows light (the glass’s refractive index) and the angle at which the light encountered the glass surface (the angle of incidence). You can then use one of the basic laws of optics, Snell’s law, to determine the angle at which the light continues through the glass. You can then do the same for the light’s emergence from the glass and determine the angle at which it leaves.

What does the SPF on sun screens mean? – RC

Sunscreens contain pigments that absorb invisible ultraviolet radiation. While they appear clear and transmit visible light so that you can’t see them when they’re on your skin, sunscreens are almost opaque to ultraviolet light. A sunscreen’s SPF is related to the fraction of ultraviolet light that it absorbs. An SPF of 15 means that a normal layer of this sunscreen on your skin transmits only 1 part in 15 of the ultraviolet light that reaches it from the sun. An SPF of 40 means that a layer of this sunscreen transmits only 1 part in 40 of the ultraviolet light. The true transmission of the sunscreen depends somewhat on how you apply it and how much you apply, so these SPF ratings are only approximate. A sunscreen contains a mixture of dye molecules that transmit visible light but absorb ultraviolet light (and convert its the light’s energy into thermal energy). Most if not all of these dye molecules are artificial organic compounds that have been carefully selected to be non-toxic and non-irritating. The first popular sunscreen contained a compound called PABA that caused skin reactions in many people, but more recent dye choices are less likely to cause skin trouble.

Why do the earth’s oceans appear blue to an observer on the moon?

The earth’s oceans and sky both appear blue to everyone who observes them. They do this because water absorbs blue light less strongly than it absorbs other colors. When ocean water is exposed to sunlight (white light), it absorbs most of the red light quickly and a good fraction of the green light. But the blue light penetrates to considerable depth in the water and there is a reasonable chance that this light will be scattered back upward to an observer on the shore, in the air, or even on the moon.

Does light have mass? If so, then how can it travel at the speed of light? Doesn’t the mass of an object (particle) approach infinity as its velocity approaches the speed of light?

Light has precisely zero mass and that makes all the difference. You’re right that taking a massive particle up to the speed of light is impossible because doing so would, in a certain sense, give the particle an infinite mass. But the more important issue here is that doing so would require an infinite amount of energy and momentum.

Most physicists use the word mass to mean a particle’s mass at rest—its rest mass—and as you bring the particle to higher and higher speeds, its rest mass doesn’t change. However, the relationship between the particle’s energy and its momentum does change with speed and the particle’s momentum begins to increase more rapidly than it should according to the older, pre-relativistic mechanical theories. In an effort to explain this anomalous increase in momentum while retaining the old Newtonian laws of motion, people sometimes assign a fictitious “mass” to the particle; one that equals the rest mass when the particle is stationary but that increases as the particle’s speed increases. As a particle approaches the speed of light, its momentum increases without limit and so does its “mass.” Not surprisingly, the limitless rises in energy, momentum, and “mass” prevent the massive particle from ever reaching the speed of light.

As for light, it really does have zero mass and therefore can’t be described by the Newtonian laws of motion. All light has is its momentum and its energy. In fact, light can’t travel slower than the speed of light because that would require it to have a mass! So the world of particles is divided into two groups: massless particles that must travel at the speed of light and massive particles that can never travel at the speed of light.

During a total solar eclipse, does the moon make first contact with the sun on the eastern limb or the western limb? Can you explain this to me?

The moon orbits the earth from west to east. By that, I mean that if the earth were to stop turning, the moon would then rise in the west and set in the east. During a total solar eclipse, the moon is drifting directly in front of the sun. Since the moon moves from west to east, it will first block the western edge of the sun, the western limb. In contrast, during a total lunar eclipse, the moon is drifting into the earth’s shadow. Since it is moving from west to east, its eastern edge will enter the shadow first.

Is it possible to create a “fog” in a small enclosed area without using dry ice or ultrasound?

The two techniques you mention, dry ice and ultrasound, are both intended to make tiny droplets of water in the air, effectively producing an artificial cloud. While I can’t think of any better ways to make such water droplets, I can think of ways to make fogs of other materials. Tiny particles of any clear material will work because what you are seeing is the random scattering of light as it’s partially reflected from the front and back surfaces of clear particles. I’d suggest a chemical process that produces tiny clear particles. The easiest one I can think of is to place a dish of household ammonia (ammonium hydroxide—ammonia gas dissolved in water) and a dish of hydrochloric acid (hydrogen chloride gas dissolved in water, sold as muriatic acid by hardware stores) in your enclosed area. The two gases will diffuse throughout your enclosure and react to form tiny clear particles of ammonium chloride. The enclosure will fill with a dense white fog. The particles are so small, that they will remain in the air for a very long time, but they will eventually settle on surfaces and leave a white powdery residue. So, unlike a water fog, this chemical fog is a little messy. You shouldn’t breathe the fog, either.

How come I never find the pot of gold at the base of the rainbow?

The people who invented that tale were well aware of the impossibility of reaching the rainbow itself. Knowing that the rainbow moves with you, they were free to promise anything about what lies at the base of the rainbow.

When I look up at the sky on a clear day, there is the sun, then a surrounding circle of white-blue light covering maybe half the sky, encircled by deep blue down to the horizon, followed by a white layer at the horizon itself. Please explain these zones.

The ring that you see surrounding the sun is probably the 22° halo caused by refraction from ice crystals in the upper atmosphere. These tiny ice crystals are hexagonal prisms and they deflect the light that passes through them to form a ring of light around the sun. Because the particles are large enough to bend all the colors of light equally, the ring appears white—or blue-white when superimposed on the blue sky. The deep blue of the surrounding sky is caused by Rayleigh scattering of the sunlight passing through it. In this process, small groups of air molecules and tiny dust particles deflect sunlight toward your eye. Since they deflect short wavelength light (blue light) more effectively than long wavelength light (red light), they give the sky a bluish glow. Finally, the white appearance of the horizon is probably light scattered toward your eyes by surface haze. Relatively large particles in the air scatter sunlight in all directions so that you see a white glow from the air near the ground.

A wonderful reference for some of these ideas is “Rainbows, Halos, and Glories” by Robert Greenler.

Why, if white doesn’t absorb heat, do I get very hot when I wear a white shirt?

A white shirt doesn’t absorb visible light (or at least very much visible light), but it may absorb lots of infrared light. Since much of the sun’s light and heat are in the form of invisible infrared light, that infrared absorption can be very important. There are many materials that appear white to your eye that do absorb strongly in the infrared and thus get very hot in sunlight.

How do oil spills/spots (i.e. in parking lots and streets) create rainbows?

A thin layer of oil on water creates interference effects, just like those seen in a thin soap film. Sunlight reflects from both the top and the bottom of the oil layer and these two reflections can interfere with one another. If the blue/green wavelengths of light interfere destructively on their way to your eye, you will see the oil layer as red. If the green/red wavelengths of light interfere destructively, you will see the oil layer as blue. How you see the oil layer depends on its thickness and the angles of the light.