The nature of light • Register your clickers at https://www1.iclicker.com/ • Course evaluations • Midterm next Tuesday (and a reduced homework assignment due next Thursday) Atoms Atoms consist of a nucleus of protons (which have a positive electrical charge) and neutrons (no charge), surrounded by a cloud of electrons (negative charge) Atoms The type of element is determined the number of protons, also called the atomic number. Sometimes atoms of the same element can have different number of neurons; these are called isotopes of that element. Atoms Atoms The electrons can have different energy levels. What’s really interesting is that the electrons can’t have just any amount of energy, but can only have particular amounts of energy (i.e. the energy levels are discrete, or quantized. They are not continuous.) Atoms Electrons aren’t like particles that orbit the nucleus in the way that planets orbit stars. Individual electrons really are “smeared out” into clouds. But we often visualize electron energy levels like this anyway: Atoms Electrons aren’t like particles that orbit the nucleus in the way that planets orbit stars. Individual electrons really are “smeared out” into clouds. But we often visualize electron energy levels like this anyway: n=1 (the ground state) n=2 If an electron gains or loses the exact n=3 right amount of energy, it can transition n=4 between different energy levels. n=5 Atoms Energy level diagrams: different elements have different electron energy levels Atoms Energy level diagrams: different elements have different electron energy levels ionization — this is when an electron gets enough energy to escape the atom The nature of light There are some key experiments that reveal the nature of light • Diffracting light through a prism — reveals that white light is made of many colors. • The double-slit experiment — shining (monochromatic) light on a screen with two slits produces strange patterns on the other side. Reveals the wave nature of light. • The photoelectric effect — shining light on a surface can free electrons, but only if the light has the right color. Reveals the particle nature of light. The nature of light There are some key experiments that reveal the nature of light • Diffracting light through a prism — reveals that white light is made of many colors. • The double-slit experiment — shining (monochromatic) light on a screen with two slits produces strange patterns on the other side. Reveals the wave nature of light. • The photoelectric effect — shining light on a surface can free electrons, but only if the light has the right color. Reveals the particle nature of light. The diffraction of light The diffraction of light But Newton showed that if you shine light of only a single color it through a prism, it does not diffract. This shows that the different colors were present in the light originally, and that they are not created inside of the prism we look at a rainbow. Light’can come,in: an array of types . A spectral curve (like the one:shown:.below) isa graph given off by an object each second’versuSthe different The diffraction light a specific color of light onofthe horizontal axis, the height energy is being given off at’that particular wavelength.. for an object orange !ight than color. This is You canemitting make amore plotred of and brightness versus d end of the curve is higher than the, yioletend so the called a spectrum. n color. atest ___— ere ow be observed? I V I I I B I G I Y I 0 I R ost Violet Indigo Blue Green Yellow Orange Red n 2? Figure 1 2) Imagine that the blue light and orange light from the source were blocked. What color(s) would now be present in the spectrum of light observed? The diffraction of light ___— I V I I B I I G I Y I 0 3) Which of the following is the most Violet Indigo Blue Green Yellow Orange accurate spectral curve for the You can make a plot of brightness versus color. This is spectrum described in Question 2? Figure 1 called a spectrum. a) b) c) 0 0 0 C) C) VIBGYOR C) VIBGYOR 4) What colors of light are present in 3b above? VIBGYOR Light can be made up of some combination of many different colors, or only one color. I R Red The nature of light There are some key experiments that reveal the nature of light • Diffracting light through a prism — reveals that white light is made of many colors. • The double-slit experiment — shining (monochromatic) light on a screen with two slits produces strange patterns on the other side. Reveals the wave nature of light. • The photoelectric effect — shining light on a surface can free electrons, but only if the light has the right color. Reveals the particle nature of light. The double-slit experiment If you shine light of a single color through two slits, it makes a pattern on the other side The double-slit experiment What’s going on? Light behaves like a wave. And when you add two waves together, sometimes they add up constructively, and sometimes they add destructively The double-slit experiment What’s going on? Light behaves like a wave. And when you add two waves together, sometimes they add up constructively, and sometimes they add destructively + The double-slit experiment What’s going on? Light behaves like a wave. And when you add two waves together, sometimes they add up constructively, and sometimes they add destructively + = The double-slit experiment What’s going on? Light behaves like a wave. And when you add two waves together, sometimes they add up constructively, and sometimes they add destructively + The double-slit experiment What’s going on? Light behaves like a wave. And when you add two waves together, sometimes they add up constructively, and sometimes they add destructively + = The double-slit experiment What’s going on? Light behaves like a wave. And when you add two waves together, sometimes they add up constructively, and sometimes they add destructively The double-slit experiment What’s going on? Light behaves like a wave. And when you add two waves together, sometimes they add up constructively, and sometimes they add destructively Waves A wave is something that transmits energy without carrying material along with it Waves A wave is something that transmits energy without carrying material along with it wavelength — the distance between adjacent peaks frequency — the number of times each second that a point moves up and down When wavelength goes up, frequency goes down: frequency = c/wavelength Waves The color of light is determined by it’s wavelength or frequency. • Redder light has higher wavelength and lower frequency • Bluer light has lower wavelength and higher frequency Waves So a spectrum is really a plot of brightness versus wavelength Waves So a spectrum is really a plot of brightness versus wavelength Waves So a spectrum is really a plot of brightness versus wavelength Waves The human eye is only sensitive to a narrow range in wavelength or frequency. That’s why you can’t see light with shorter wavelengths (like x-rays) or longer wavelengths (like infrared and radio). The thermal spectrum (aka “blackbody” spectrum) Dense objects emit light with a certain spectrum depending on their temperature. Objects with relatively cold temperatures emit most of their light at long wavelengths (like in the infrared). Objects with high enough temperatures can emit light in at visible wavelengths. The thermal spectrum (aka “blackbody” spectrum) • Midterm on Tuesday (scantron and fill-in-the-blank/ short answer) • No homework next week Review Atoms consist of a nucleus of protons and neutrons surrounded by a cloud of electrons. The type of element is determined the number of protons, also called the atomic number. Sometimes atoms of an element can have different numbers of neutrons; these are called isotopes. Review Electrons aren’t like particles that orbit the nucleus in the way that planets orbit stars. Individual electrons really are “smeared out” into clouds. But we often visualize electron energy levels like this anyway: n=1 (the ground state) If an electron gains or loses the exactn=2 right amount of energy, it can transition n=3 between different energy levels. But if it n=4 gets enough energy then it can escape the atom entirely. n=5 Review There are some key experiments that reveal the nature of light • Diffracting light through a prism — reveals that white light is made of many colors. • The double-slit experiment — shining (monochromatic) light on a screen with two slits produces strange patterns on the other side. Reveals the wave nature of light. that displays the amount of energy given off by an object each second’versuSthe different 2) Imagine that thecolor blueoflight wavelengths (or colors) of light. For a specific lightand on the horizontal axis, the height orange light from the source a) of the curve will indicate how much energy is being given offwere particular wavelength.. b) at’that blocked. What color(s) would now be Figure 1 shows the spectral curve for an object emitting more red and orange !ight than present in the spectrum light 0observed? 0 indigo and violet. Notice that the red end of the curve isofhigher C) than the, yioletend so the C) I I I object will appear slightly reddish in color. ___— Review V of the following is the most 1) Which color of light has3)theWhich greatest energy output in Figure 1? accurate spectral curve for the spectrum described in Question 2? 2) Imagine that the blue light and orange light from the sourcea)were blocked. What color(s) would now be present in the spectrum of light observed? 0 b) 0 VIBGYO c) 4) What colors of light are present in 3b above? 0 0 C) I I I B I I G I Y C) I 0 I R Violet Indigo Blue Green Yellow Orange Red 5 Figure 1 What colors are resent in 3c above? Would this o VIBGYOR 0 I Y Figure 1 VIBGYOR V a) I G Violet Indigo Blue Green Yellow Oran ___— C) 3) Which of the following is the most accurate spectral curve for the spectrum described in Question 2? B I VIBGYOR b) VIBGYOR c) 4) What colors of light are present in 3b above? 0 C) 0 C) C) ©r2QO8iearson Education, Inc., PubIishingas Pearson Addison-Wesley. 5 VIBGYOR LE What colors are resent in 3c above? Would this obect appear reddish or bluish? VIBGYOR VIBGYOR 4) What colors of light are present in 3b above? Light can be made up of some combination of many different colors, or only one color. This is shown by looking at it’s5 spectrum. What colors are resent in 3c above? Would this obect appear reddish or bluish? ©r2QO8iearson Education, Inc., PubIishingas Pearson Addison-Wesley. LECTURE-TUTORIALS FOR INTRODUCTORY A SECON Review If you shine light of a single color through two slits, it makes a pattern on the other side. This is because light behaves as a wave, adding up constructively or destructively Review What’s going on? Light behaves like a wave. And when you add two waves together, sometimes they add up constructively, and sometimes they add destructively + = Review What’s going on? Light behaves like a wave. And when you add two waves together, sometimes they add up constructively, and sometimes they add destructively + = Review What’s going on? Light behaves like a wave. And when you add two waves together, sometimes they add up constructively, and sometimes they add destructively Review A wave is something that transmits energy without carrying material along with it wavelength — the distance between adjacent peaks frequency — the number of times each second that a point moves up and down When wavelength goes up, frequency goes down: frequency = c/wavelength Review The human eye is only sensitive to a narrow range in wavelength or frequency. That’s why you can’t see light with shorter wavelengths (like x-rays) or longer wavelengths (like infrared and radio). Review Dense objects emit a thermal (aka blackbody) spectrum based on their temperature. Hotter objects are brighter at all wavelengths, and peak and a shorter wavelength The nature of light There are some key experiments that reveal the nature of light • Diffracting light through a prism — reveals that white light is made of many colors. • The double-slit experiment — shining (monochromatic) light on a screen with two slits produces strange patterns on the other side. Reveals the wave nature of light. • The photoelectric effect — shining light on a surface can free electrons, but only if the light has the right color. Reveals the particle nature of light. The photoelectric effect For centuries people argued over whether light is continuous or whether it consists of a lot of individual particles. Discovery of the wave nature of light suggested that light is continuous. But this idea was challenged by an experiment: The photoelectric effect • In the 19th century physicists knew that light was a wave, and that light carries energy. • So they thought that shining light onto a material would give the electrons enough energy to become ionized if the light was shining for long enough, or if the light was bright enough. • But this turned out not to be the case! Experiments showed that electrons are released only if the light has high enough frequency. If the frequency is too low, it does not matter how bright the light is nor how long it shines on the material. The photoelectric effect So what does this mean? Light is emitted or absorbed in discrete packets. In other words, light behaves like a particle. We call these particles photons. energy of a photon: E=hf (where h is a constant and f is the frequency) The photoelectric effect So an individual photon can free an individual electron only if it has enough energy (i.e. a high enough frequency). Otherwise, no matter how many photons you shine on a material, the electrons will never absorb the photons. Q: The higher energy of a photon, A. the longer it’s wavelength B. the shorter it’s wavelength C. energy is independent of wavelength Q: The higher energy of a photon, A. the longer it’s wavelength B. the shorter it’s wavelength C. energy is independent of wavelength The nature of light We’ve established three very important things about light: • Light can be described by it’s spectrum (brightness vs. wavelength) • Light behaves like a wave; it has a wavelength and a frequency (l=c/f) • Light also behaves like a particle; it is absorbed and emitted in individual photons (also sometimes called wavepackets) with energy E=hf How does light interact with matter? There are three ways: • emission • absorption • transmission (i.e. light passes through the object) • reflection How does light interact with matter? Q: You see a rose in a garden. It is red. Which process describes the light from the rose? A. the rose emits red light B. the rose absorbs red light C. the rose transmits red light D. the rose reflects red light E. none of the above Q: You see a rose in a garden. It is red. Which process describes the light from the rose? A. the rose emits red light B. the rose absorbs red light C. the rose transmits red light D. the rose reflects red light E. none of the above A red object absorbs the light at most wavelengths but it reflect the red light Three different types of spectra Continuous spectrum: Emission line spectrum: Absorption line spectrum: Three different types of spectra Three different types of spectra A dense object will emit a continuous spectrum. This will depend on it’s temperature, which is why it’s also called a thermal spectrum (also a blackbody spectrum) Three different types of spectra A hot cloud of gas will emit an emission line spectrum. Because of the thermal energy in the gas, some of the electrons will get bumped up to higher energy levels. When they move back down to lower energy levels, they will emit photons corresponding to the difference in energy. Three different types of spectra If an electron is bumped up to a higher energy level, it will move back down very quickly, releasing a photon Three different types of spectra If an electron is bumped up to a higher energy level, it will move back down very quickly, releasing a photon Three different types of spectra A hot dense object illuminating a cool cloud of gas will produce an absorption line spectrum. Most of the electrons in the gas will be in the ground state. But photons from the source that have exactly the right amount of energy will be absorbed by the electrons, moving them into a higher energy state. Chemical fingerprints Different elements have different electron energy levels. So by studying looking at the wavelengths of the emission/absorption lines, you can figure out what element you’re looking at! Chemical fingerprints Different elements have different electron energy levels. So by studying looking at the wavelengths of the emission/absorption lines, you can figure out what element you’re looking at! • 05_MysteryGasComposition.htm Example: the solar spectrum The sun emits an absorption line spectrum, because it has a hot core (thermal spectrum) with cooler gas on the outside that produces absorption lines. These lines tell us that the sun is mostly made of hydrogen and helium with smaller amounts of heavier elements Doppler shift The Doppler shift refers to the change in wavelength and frequency of a wave if the emitting object is moving towards or away from you. Doppler shift The Doppler shift refers to the change in wavelength and frequency of a wave if the emitting object is moving towards or away from you. The waves get bunched up if the object is moving towards you, or stretched out if it is moving away Doppler shift The Doppler shift refers to the change in wavelength and frequency of a wave if the emitting object is moving towards or away from you. Doppler shift This happens for any type of wave, including sound waves and light waves. • For an object moving toward you, the wavelength goes down and the frequency goes up. In the case of light, we call this a blueshift. • For an object moving away from you, the wavelength goes up and the frequency goes down. We call this a redshift. Doppler shift We generally measure the Doppler shift from shifts in the wavelengths of spectral lines Stationary Moving away Away faster Moving toward Toward faster Doppler shift We generally measure the Doppler shift from shifts in the wavelengths of spectral lines Stationary Moving away Redshifted Away faster Moving toward Toward faster Blueshifted Doppler shift • By measuring the shift in the spectrum, we can estimate very accurately the speed with which an object is moving towards or away from us. • But this only gives us the speed along the line-of-sight Large redshift No shift at all, since it is moving perpendicular to the line-of-sight Small redshift, since it is moving away from us but not very quickly
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