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The Nature of Light Electromagnetic Waves and the Electromagnetic Spectrum What is Light? Electric charges repel or attract each other. + + + This attraction / repulsion travels at the speed of light. If you move a proton here, the change in “force” will take time to travel out into the Universe. This change in the force field is an electromagnetic wave. — — — + — Light: Waves in What? A water wave is a disturbance in water’s surface. A sound wave is a variation in the air pressure. Light is fundamentally different. Light doesn’t need a substance to travel through. Light can travel thru the vacuum of space! Electromagnetic Waves Electromagnetic Waves The speed of a wave is related to the wavelength and the frequency: speed = wavelength × frequency The speed of EM waves is a constant, so frequency and wavelength are inversely related: • If frequency increases, wavelength decreases. • If wavelength increases, frequency decreases. The Range of Visible Light Visible light comes in many colors. Each color has a particular wavelength and frequency. Red: longest wavelength & lowest frequency Violet: shortest wavelength & highest frequency The Range of Visible Light The human eye is most sensitive to green light, with a wavelength of about 500 nanometers. (1 nanometer = 1 nm = 1 billionth of a meter.) The reddest light has a wavelength near 700 nm. The most violet light has a wavelength near 350 nm. The eye is sensitive to a very narrow range of wavelengths! The unit of frequency on this diagram is the Hertz. 1 Hertz = 1 Hz = 1 wave per second. The unit of wavelength is the meter, but the range spans from thousands of meters (km) to trillionths of a meter (pm). The Speed of Light The modern measured value for the speed of light: c = 300,000 kilometers per second This is the same speed for all EM waves: ¾ radio waves have the same speed as visible light ¾ gamma rays travel at the same speed as x-rays ¾ ultraviolet & infrared light have the same speed The Energy of Light Light carries energy. The amount of energy carried by a single “packet” of light depends only on the wave’s frequency. The energy (E) is related to frequency (f): E = h× f Higher frequency means more energy per wave. “h” is a tiny quantity known as Planck’s constant. Individual light waves carry a tiny bit of energy. Which of the following is not a form of light? A. radio waves B. x-rays C. ultraviolet light D. All of the above are forms of light. E. None of the above are forms of light. Which has the shortest wavelength? A. radio waves B. x-rays C. ultraviolet light D. blue light Which has the lowest frequency? A. radio waves B. x-rays C. ultraviolet light D. blue light Which carries the highest energy? A. radio waves B. x-rays C. ultraviolet light D. blue light Which travels at the highest speed? A. radio waves B. x-rays C. ultraviolet light D. All of the above. Thermal (or Blackbody) Spectrum A hot, dense object will emit a continuous range of colors known as a thermal spectrum (just like the hot filament of the light bulb). This type of spectrum is also called a blackbody. Intensity short Wavelength long Blackbody Temperature The height and the peak of the spectrum shift as temperature changes. Blackbody Temperature The frequency or wavelength of the peak of the blackbody curve depends on the temperature of the emitting object. The higher the temperature, the higher the energy and frequency of the peak. This means that the wavelength of the peak gets shorter. By observing an object’s thermal spectrum, we can determine the temperature of the object. A 15,000 K star is brightest in which part of the electromagnetic spectrum? A. radio B. infrared C. visible light D. ultraviolet What is the true visual color of a star like the Sun? A. Violet B. Bluish C. White D. Reddish Which object is hotter? A. Object A B. Object B Which of these objects is largest? (Think back to luminosity vs. temperature vs. size) A. Object A B. Object B C. Object C D. Object D If an astronomer wanted to find the temperature of a distant object, which feature of the object’s spectrum should be examined? A. which spectral lines are present B. the total intensity of the object’s spectrum C. the wavelength of the peak of the spectrum Atomic Structure You will often see an atom drawn this way. However, electrons do not move on fixed orbits like planets. Instead, they can be found buzzing around anywhere near the nucleus. The electrons are said to occupy an electron cloud. A Simple Spectrum Imagine a toy hydrogen atom with 1 proton and 1 electron. The electron is only allowed to have two amounts of energy… electron proton lower energy level upper energy level A jump by an electron from one energy level to the other creates or destroys a photon, a single “packet” of light. Photons can have different amounts of energy, depending on the size of the electron’s jump: photon absorbed photon emitted In this toy 2-level atom, the electron can only gain or lose a specific amount of energy. This means that the atom can only emit light of one energy! (Only 1 wavelength, frequency, and color, too.) The emission spectrum of this toy 2-level atom is a single bright line, called an emission line. The line’s color corresponds to the electron’s jump. The color of the spectral line is determined by the difference in energy between two energy levels. The electrons in an atom can be excited in a variety of ways: • absorption of light energy (radiative energy) • collision with fast-moving atoms (kinetic energy) • collision with free-floating electrons (kinetic, too) Excited electrons drop to lower energy levels and release the energy as light. A spectrum with bright lines on a dark background is known as an emission spectrum. The spectrum of an element is unique and acts like a fingerprint. The spectral lines in the light from an object tell us the composition! The same is true of molecules… here’s H2. The energy lost by an emitting electron equals the energy absorbed by that electron jumping up. Emission lines and absorption lines match exactly. The light absorbed by the atoms is missing from the spectrum. An absorption spectrum appears as dark lines against a continuous background. hydrogen You observe the spectrum of a distant unknown object. You recognize emission lines of carbon and absorption lines of iron. What can you say about the object’s composition? A. It must contain carbon, but no iron. B. It must contain iron, but no carbon. C. It contains both carbon and iron. D. It cannot contain either carbon or iron. Which type of spectrum would be emitted by a glowing gas cloud heated by an O-type star? O star A. A continuous spectrum B. An absorption spectrum C. An emission spectrum The spectrum of typical emission nebula A normal star has a very hot core surrounded by a cooler atmosphere. Normal stars emit what kind of spectra? A. Emission B. Absorption C. Continuous The spectrum of Procyon (A-type dwarf star) The spectrum of the Sun The spectrum of Arcturus (K-type giant star) Doppler Shift: Observer and Source So far we have talked about the light source and observer being stationary relative to each other. If the source is approaching the observer (or vice versa), light waves will arrive more often. The light waves appear to be compressed. What happens to the apparent color of the light? If the source is receding from the observer (or vice versa), light waves will arrive less often. The light waves appear to be stretched out. What happens to the apparent color of the light? Doppler: a Subtle Change in Color The motion of an object changes the color of light emitted by the object. Approaching, light waves are compressed and blue-shifted. Receding, the light waves are stretched and red-shifted. This effect only depends on motion, not distance. It is visible for nearby planets or distant galaxies. You observe the spectrum of a distant unknown object. You recognize a spectral line of helium at a wavelength of 1024 nm. In the lab, this line has a rest wavelength of 512 nm. What can you say about the object’s motion? A. It must be moving toward us fast! B. It must be moving toward us slowly. C. It must be moving away from us fast! D. It must be moving away from us slowly. E. It cannot be moving toward or away from us.