text stringlengths 790 2.88k |
|---|
zing and Interpreting Communication and Teamwork them. A screen is not needed as the angles are identical, so we can assume the distance to the hypothetical screen is identical to the distance between the lamp and the grating (1.0 m). While one person observes the antinode, a second person is directed to place an ident... |
), calculate the wavelength of red, blue, and green light. 2. Determine the mean wavelength of each colour of light using the ranges given. 3. Calculate the percent difference between the mean wavelength of each colour and your experimentally determined value. 4. Explain why each antinode appears as a rainbow. Hint: Wh... |
pass e LAB For a probeware activity, go to www.pearsoned.ca/ school/physicssource. (a) (b) Figure 13.86 (a) A transverse wave passing through a vertical slit and being absorbed by a horizontal slit (b) A longitudinal wave passing through both a vertical and a horizontal slit Chapter 13 The wave model can be used to de... |
pass through, causing plane polarized light to emerge. If a second polarizing filter is held at right angles to the plane polarized light, then the plane polarized light also is absorbed (Figure 13.89). randomly oriented EMR vertical polarizer horizontal polarizer no waves vertically polarized EMR Figure 13.89 Unpolar... |
.00 m away from the grating, what is the distance between the 1st and central antinodes? 9. Monochromatic light with a frequency of 5.75 1014 Hz is incident on a diffraction grating with 60 lines/cm. What is the distance between the 2nd and 3rd dark fringes when the screen is located 1.20 m away? 10. An unknown light s... |
2 1 2 n2 n1 Conceptual Overview 1 do 1 di 1 f sin n n d n c v xd nl n1 sin 1 n2 sin 2 Summarize this chapter by explaining how the properties of electromagnetic radiation support either the wave model of light or the particle model of light, or both. reflection refraction diffraction Particle Model polarization Wave Mo... |
principal focal point (F) (f) focal length (f) 12. (13.3) Can a diverging mirror produce a real image? Explain. 13. (13.4) Using a ray diagram, illustrate partial reflection and partial refraction for a ray passing from air into water at an angle of 15. On your ray diagram, label the normal line, the index of refracti... |
23. (13.2) An 8-sided mirror is rotating at 5.50 102 Hz. At what distance should the fixed mirror be placed to replicate Michelson’s experiment? 24. (13.2) A fixed mirror and a rotating mirror are separated by 30.0 km. The 8-sided rotating set of mirrors turns at 600 Hz when the light is able to pass through the exper... |
Light enters an unknown material and slows down to a speed of 2.67 108 m/s. What is the refractive index of the unknown material? Compare the refractive index of this material to that of water — which one has a higher index? 36. (13.4) Calculate the critical angle of the following boundaries: (a) water-air (b) diamond... |
order to effectively block interference. Explain how the shielding prevents interference and why it needs to be grounded. 44. When you place the concave side of a spoon on your nose and slowly pull it away from your face, your image disappears at a certain distance. What is the significance of this distance? 45. After... |
Society explain the use of concepts, models, and theories explain the link between scientific knowledge and new technologies Skills observe relationships and plan investigations analyze data and apply models work as members of a team apply the skills and conventions of science 702 Unit VII The wave-particle duality re... |
his inventions. He was one of the driving forces behind the first transatlantic telegraph cable. info BIT This chapter is about the “cloud” that became quantum theory. In 1905, the other “cloud” became Einstein’s theory of special relativity. 14-PearsonPhys30-Chap14 7/24/08 3:57 PM Page 703 14-1 QuickLab 14-1 QuickLab... |
-air flying machines are impossible.” (1895) • “There is nothing new to be discovered in physics now. All that remains is more and more precise measurement.” (1900) • “X rays will prove to be a hoax.” (1899) • “Radio has no future.” (1897) • “[The vector] has never been of the slightest use to any creature.” Chapter 14... |
.0 2.5 2.0 1.5 1.0 5.0 0.0 (c) T 5000 K 0.5 1 1.5 2 2.5 3 3.5 Frequency 1015 (Hz 14 12 10 8.0 6.0 4.0 2.0 0.0 T 2500 K 0.5 1 1.5 2 2.5 3 3.5 Frequency 1015 (Hz) Figure 14.3 Blackbody curves for three different temperatures (Kelvin): 10 000 K, 5000 K, and 2500 K. Frequency is along the horizontal axis, and energy intens... |
. In short, striking a match would incinerate the entire universe! This prediction was called the ultraviolet catastrophe. Fortunately for us, classical physics was incorrect. Figure 14.4 shows a comparison between the prediction made by classical physics and the blackbody radiation curve produced by a hot object. Quan... |
�bundle” of energy that a wavelength of light can possess (pl. quanta) Planck’s formula: light comes in quanta of energy that can be calculated using the equation E nhf quantized: limited to whole multiples of a basic amount (quantum) Chapter 14 The wave-particle duality reminds us that sometimes truth really is strang... |
Since wavelength is given, first find the frequency using the equation c f, where c is the speed of light, f is frequency, and is the wavelength. c f m 3.00 108 s 6.00 107 m 5.00 1014 Hz Then substitute into Planck’s formula: E nhf (1)(6.63 1034 Js)(5.00 1014 s1) 3.32 1019 J 706 Unit VII Electromagnetic Radiation 14-P... |
�s formula to find the error in the analogy. Try to come up with a better analogy for explaining quantization. Chapter 14 The wave-particle duality reminds us that sometimes truth really is stranger than fiction! 707 14-PearsonPhys30-Chap14 7/24/08 3:57 PM Page 708 The next example involves rearranging Planck’s formula... |
gives the various photon energies along the electromagnetic spectrum. 708 Unit VII Electromagnetic Radiation 14-PearsonPhys30-Chap14 7/24/08 3:57 PM Page 709 X rays, for example, can only be emitted by a very hot gas or by a veryhigh-energy interaction between particles. Figure 14.7 shows images of the remnants of an ... |
. (a) What is the frequency of a photon that has an energy of 100 keV? (b) From what part of the electromagnetic spectrum is this photon? Applications 5. How many photons of light are emitted by a 100-W light bulb in 10.0 s if the average wavelength emitted is 550 nm? Assume that 100% of the power is emitted as visible... |
emission of electrons from a zinc metal plate? Materials electroscope UV light source zinc plate glass plate electroscope zinc plate UV source Figure 14.8 Procedure 1 Attach the zinc plate so that it is in contact with the electroscope. 2 Apply a negative charge to the zinc plate and electroscope. What happens to the ... |
a metal to emit electrons? Experiments showed that the electrons required energies of a few electron volts in order to be emitted by the metal. Perhaps the atoms on the surface of the metal absorbed the energy of the light waves. The atoms would begin to vibrate and eventually absorb enough energy to eject an electron... |
but completely unexplained phenomenon until 1905. In 1905, Albert Einstein solved the riddle of the photoelectric effect by applying Planck’s quantum hypothesis: Light energy arrives on the metal surface in discrete bundles, which are absorbed by atoms of the metal. This process takes very little time and all the ener... |
11) and published in 1916. The main result from Millikan’s work is given in Figure 14.12. The graph shows electron kinetic energy as a function of the frequency of the incident light. When the light frequency is Figure 14.11 Robert Andrews Millikan (1868–1953) was awarded the Nobel Prize in physics in 1923 for his work... |
the original energy of the photon, given by E hf, minus the work needed to free the electron from the surface. The equation that expresses this relationship is Ek hf W where Ek is the maximum kinetic energy of the electrons and W is the work function of the metal. You may recall that this equation is an example of the... |
electrons emitted by the metal surface are attracted to the collector and charge begins to move in the apparatus, creating a current. incoming photons collector electron-emitting metal surface evacuated tube Figure 14.13 A simplified diagram depicting an experimental set-up used to investigate the photoelectric effect... |
the collector. At this point, the current in the ammeter drops to zero and the potential difference is now equal to the stopping potential. In summary, qVstopping. The maximum the current drops to zero when 0 Ekmax kinetic energy of electrons may now be expressed as Ekmax qVstopping where Vstopping is the stopping pot... |
You will need to decide on what equipment to assemble to enable you to relate frequency of incident light to kinetic energy of electrons and stopping potentials. In your design, be sure to address what you will need to measure and what variables will be involved, how to record and analyze your data, and how to use the... |
photoemission from cesium metal is 5.07 1014 Hz. This frequency corresponds to photons of wavelength 591 nm, which is in the yellow-orange part of the visible spectrum. You can also use the law of conservation of energy equation for the photoelectric effect to predict the energy and velocity of the electrons released ... |
that sometimes truth really is stranger than fiction! 719 14-PearsonPhys30-Chap14 7/24/08 3:57 PM Page 720 Millikan’s work on the photoelectric effect provided critical evidence in eventually demonstrating the particle or quantized nature of light. As you will see in the next chapter, Millikan also performed a key exp... |
How long would photoemission take from a classical physics point of view? Consider a beam of ultraviolet light with a brightness of 2.0 10–6 W and an area of 1.0 10–4 m2 (about the area of your little fingernail) falling on a zinc metal plate. Use 3.5 eV as the energy that must be absorbed before photoemission can occ... |
a pioneer in high-energy physics. He was awarded the Nobel Prize in 1927 for his discovery of the Compton effect, which provided convincing evidence for the photon model of light. Compton scattering: the scattering of an X ray by an electron Compton effect: the change in wavelength of the scattered X-ray photon where ... |
relationship between the change in the wavelength of the scattered photon and the direction in which the scattered photon travels: f i h (1 cos ) m c where m is the mass of the scattering electron and is the angle through which the X ray scatters. The full derivation of this equation requires applying Einstein’s theor... |
nm? 3. If a 10-nm X ray scattered by an electron becomes an 11-nm X ray, how much energy does the electron gain? Answers 1. 2.0 1017 J 2. 6.6 1026 Ns 3. 1.8 1018 J Chapter 14 The wave-particle duality reminds us that sometimes truth really is stranger than fiction! 723 14-PearsonPhys30-Chap14 7/24/08 3:57 PM Page 724 ... |
wavelength and energy of this photon? 4. Identify the part of the electromagnetic spectrum of the photon in question 3. 5. True or false? One of the major differences between classical physics and quantum physics is that the laws of conservation of energy and momentum do not always work for quantum physics. Explain yo... |
that what we naturally assume to be particles (electrons, for example) can have wave-like properties as well. At the atomic level, an electron is neither a wave nor a particle. What an electron is depends on how we interact with it. De Broglie arrived at his idea by tying together the concepts of momentum and waveleng... |
2 c2 1, where c is the speed of light. THEN, NOW, AND FUTURE The Electron Microscope Modern TEMs are capable of reaching very high magnification and imaging at the atomic level. The scanning electron microscope (SEM) is similar to the TEM but differs in one important way: Electrons are reflected off the sample being im... |
-Chap14 7/24/08 3:58 PM Page 728 The next two examples apply the de Broglie relationship between momentum and wavelength. Example 14.9 What is the momentum of a 500-nm photon of green light? Practice Problem 1. What is the momentum of a 0.010-nm X ray? Answer 1. 6.6 × 10–23 kgm/s e MATH De Broglie showed how electrons ... |
duality of light. Wave-particle duality combines two opposing ideas and teaches us that, at the atomic level, it is essential to use both ideas to accurately model the world. De Broglie’s Wave Hypothesis: Strange but True! Experimental proof of de Broglie’s hypothesis came very quickly and by accident. Between 1925 an... |
Scotland refined the study of electron-wave interference and provided beautiful experimental confirmation of de Broglie’s hypothesis. In 1937, Davisson and Thomson received a Nobel Prize for the discovery of “matter waves.” incoming electron beam detector w 1 cm 54 V I 10 cm y t i s n e t n I scattered electrons refle... |
Davisson– Germer experiment provided graphic evidence of the correctness of de Broglie’s hypothesis. incoming electrons δ path 1 path 2 electron detector scattered electron paths δ length path 1 – length path 2 atomic scatterers Figure 14.23 De Broglie’s Hypothesis — A Key Concept of Quantum Physics Despite its simpli... |
into the box has a wavelength of 2l, where n 1. l n 1, λ 2l n 2, λ l n 4, λ l 2 n 3, λ 2l 3 Figure 14.24 Standing wave patterns for waves trapped inside a box of length l Because the electron is a standing wave, it cannot be at rest. Consequently, it must have a minimum amount of kinetic energy: mv2 m 1 2 m 2 v2 m 2 m... |
particlein-a-box model. As with photons, quantization means that the electron can have only specific amounts or quanta of energy. (Refer to section 14.1.) Example 14.12 Nanotechnology is one of the hottest areas in physics today. It is now possible to create tiny electric circuits in which electrons behave like partic... |
of an electron in the atom itself (about 10–10 m across)? M I N D S O N Planck in a Box Argue that the particle-in-a-box model illustrates Planck’s discovery of quantization, and also demonstrates Planck’s radiation law. Chapter 14 The wave-particle duality reminds us that sometimes truth really is stranger than ficti... |
14.25 Werner Heisenberg (1901–1976) was one of the most influential physicists of the 20th century and a key developer of modern quantum theory. PHYSICS INSIGHT According to the particlein-a-box model, the smaller the space in which a particle is confined, the greater the kinetic energy, and hence momentum, of that pa... |
accept. To help with your answer, consider the importance of precision in classical physics, and Einstein’s famous quote concerning the uncertainty principle: “God does not play dice with the universe!” Chapter 14 The wave-particle duality reminds us that sometimes truth really is stranger than fiction! 735 14-Pearson... |
is mistaken. Albert Einstein The wave-particle duality represents a deep and troubling mystery. For some physicists, most notably Einstein, the duality was seen as a flaw in quantum theory itself. Others, including Bohr, learned to accept rather than understand the duality. In this section, we will opt to accept and w... |
its. Let us choose light, but reduce its intensity by inserting a filter so that only one photon at a time can enter the box (Figure 14.28). Let the light slowly expose a photographic film or enter the detector of your digital camera. slits? incoming beam Figure 14.28 Young’s double-slit experiment, modified such that ... |
0.0 0.2 0.4 Figure 14.30 A two-slit interference pattern Figure 14.31 Richard P. Feynman (1918–1988) was one of the founders of modern quantum theory. He once stated: “I think it is safe to say that no one understands quantum mechanics.” So what does it all mean? To try to understand the double-slit experiment as it a... |
the same set of conditions. Instead, the future develops probabilistically, and quantum physics is the science that allows you to predict the possible range of events that may occur. Although you may think that quantum behaviour is remote and has nothing to do with your life, nothing could be further from the truth. A... |
quantum indeterminacy Key Equations E nhf hf W Ek Ekmax qVstopping p h i f h (1 cos ) m c Conceptual Overview Summarize this chapter by copying and completing the following concept map. discovery of photoelectric effect blackbody spectrum and failure of classical physics Einstein’s explanation of the photoelectric eff... |
�s uncertainty principle. Applications 13. How many photons are emitted each second by a 1.0-W flashlight? Use 600 nm as the average wavelength of the photons. 14. A beam of 300-nm photons is absorbed by a metal surface with work function 1.88 eV. Calculate the maximum kinetic energy of the electrons emitted from the s... |
many photons arrive from the Sun per second per square metre at a distance equal to the Earth-Sun separation. You know that the top of Earth’s atmosphere gets 1.4 kW/m2 of energy from the Sun. (b) Calculate the momentum of each photon and remember that the photons are reflected. (c) Multiply the pressure (force per un... |
ie’s hypothesis, and to Heisenberg’s uncertainty principle. The key evidence and theories along the way have opened up a bounty of applications, from fibre-optic communication networks, to scanning and tunnelling electron microscopes. With our understanding of electromagnetic radiation has come a vast wealth of informa... |
long for one person to complete alone. With this in mind, consider the following questions that could be answered at the end of your presentation. • A relay race has an end. Is there an end in the race to fully understand the nature of electromagnetic radiation and light? If the relay is not over, where do you think w... |
front as many point sources. Young’s experiment showed that two beams of light produce an interference pattern and that light behaves as a wave. Light on a multi-slit diffraction grating produces an interference pattern. Polarization EMR absorption by polarizing filters supports the wave model of light. Chapter 14 The... |
13.7; 13-9 Inquiry Lab Figures 13.67–13.69 Figures 13.70–13.78; Examples 13.8–13.9 Figure 13.80 Figure 13.81; Example 13.10; 13-10 Inquiry Lab 13-1 QuickLab; Figure 13.86; Figures 13.88–13.90 14-1 QuickLab, Figures 14.3–14.4 Examples 14.1, 14.2, 14.3; Minds On: What’s Wrong with This Analogy? Figure 14.6 14-2 QuickLab... |
Maxwell’s original description of electromagnetic radiation. 6. Why does a spark produce electromagnetic radiation? 7. If a metal conductor, such as a spoon, is placed in an operating microwave oven, a spark is produced. Why? 8. Using a ray diagram, show three rays that are needed to identify and verify the characteri... |
dimensional, or three-dimensional? Explain. CHAPTER 14 25. Is a quantum of blue light the same as a quantum of red light? Explain. 26. How much energy is carried by a photon of wavelength 550 nm? 27. Explain how you can estimate the surface temperature of a star by noting its colour. 28. Arrange the following photons f... |
.97 108 m/s for the speed of light. The sixteen-sided rotating mirror completes 1.15 104 revolutions in one minute. How far away was the flat reflecting mirror? 46. An eight-sided mirror like Michelson’s is set up. The light reflects from the rotating mirror and travels to a fixed mirror 5.00 km away. If the rotating m... |
through an angle of 90. How much energy did the electron acquire in this collision and in what important way did the X ray change? 57. A 3.0-cm-high object is placed 10.0 cm from a converging lens with a focal length of 5.0 cm. Using the thin lens equation, determine the image attributes and position. 58. Imagine that... |
of the car and your teacher is 2000 kg. Extensions 66. Traditional radio technology blends a carrier signal and an audio signal with either frequency or amplitude modulation. This generates a signal with two layers of information—one for tuning and one containing the audio information. Describe the two layers of infor... |
the horizontal axis and the kinetic energy of photoelectrons on the vertical axis. From this graph, determine the work function for the metal. 75. Use a ray diagram to show why a double convex lens is called a converging lens and a double concave lens is called a diverging lens. Label the principal axis, principal foc... |
Electric force and energy quantization determine atomic structure. 15.1 The Discovery of the Electron 15.2 Quantization of Charge 15.3 The Discovery of the Nucleus 15.4 The Bohr Model of the Atom 15.5 The Quantum Model of the Atom C H A P T E R 1 6 Nuclear reactions are among the most powerful energy sources in nature... |
if energy is quantized. At first, Planck and his contemporaries did not realize the huge significance of his findings. As you will learn in this chapter, Planck’s discovery led to quantum theory, a concept that revolutionized atomic physics. You will also see that Planck was just the first of many researchers who demo... |
, you may need to darken the room. 3 Bring the magnet close to the tube surface. Note the direction of the magnetic field and the direction in which the beam moves. 4 Repeat step 3 at various positions along the tube. Questions 1. How did you determine the direction of the magnetic field? 2. What do you think causes th... |
to flow from the negative electrode (the cathode) toward the positive electrode. These cathode rays caused the glass to glow when they struck the far side of the tube. The rays could be deflected by a magnetic field. In 1885, after several years of experiments with improved vacuum discharge tubes, William Crookes in E... |
D S O N Are Electrons Positively or Negatively Charged? Outline two different methods for testing whether cathode rays consist of negatively or positively charged particles. Charge-to-mass Ratio of the Electron Thomson did not have a method for measuring either the mass of an electron or the charge that it carried. Ho... |
B E qv v The speed of the particle is, therefore, v E B Practice Problems 1. A beam of electrons passes undeflected through a 2.50-T magnetic field at right angles to a 60-kN/C electric field. How fast are the electrons travelling? 2. What magnitude of electric field will keep protons from being deflected while they m... |
ode rays consist of identical particles with exactly the same negative charge. Thomson’s experiments showed that q m for an electron is roughly 1011 C/kg. This ratio is over a thousand times larger than the ratio for a hydrogen ion. Other physicists had shown that cathode rays can pass through thin metal foils and trav... |
:59 PM Page 758 Concept Check How do you know that the magnetic force on the particle is directed toward the centre of a circular path in Figure 15.5? Example 15.2 When a beam of electrons, accelerated to a speed of 5.93 105 m/s, is directed perpendicular to a uniform 100-T magnetic field, they travel in a circular pat... |
: negative electrons embedded in a positive body 758 Unit VIII Atomic Physics 15-PearsonPhys30-Chap15 7/24/08 3:59 PM Page 759 Concept Check What characteristics should a scientific model have? Does Thomson’s raisin-bun model of the atom have these characteristics? THEN, NOW, AND FUTURE The Mass Spectrometer fields to ... |
�s use of a banned performance-enhancing drug. ionization chamber velocity selector vaporized sample detection chamber heater acceleration plates detector vacuum pump chart recorder amplifier positive ions Figure 15.8 Mass spectrometer Chapter 15 Electric force and energy quantization determine atomic structure. 759 15-... |
if the protons rotate counterclockwise in the same plane as this page. 10. Suppose that a passenger accumulates 5 C of negative charge while walking from left to right across the carpeted floor to the security gate at an airport. (a) If the metal detector at the security gate exerts an upward force on this charge, wha... |
unit of electrical charge. Millikan’s Oil-drop Experiment Millikan and Fletcher used an atomizer to spray tiny drops of oil into the top of a closed vessel containing two parallel metal plates (Figure 15.9). Some of the oil drops fell into the lower part of the vessel through a small hole in the upper plate. Friction ... |
This calculation showed that the mass of the electron is roughly 1800 times less than the mass of the lightest atom, hydrogen. Millikan and Controversy In the mid 1970s, historians of science made a disturbing discovery: Millikan had, on several occasions, stated that he used all of his data in coming to the conclusio... |
. Since F g net 0, then 0 F and F net e F F g e mg qE F g F e. Figure 15.10 Practice Problems 1. How many electrons are gained or lost by a plastic sphere of mass 2.4 1014 kg that is suspended by an electric field of 5.0 105 N/C [up]? 2. What electric field will suspend an oil drop with a mass of 3.2 1014 kg and a char... |
.81 m/s2 [down] 9.81 m/s2 Fe Fg Required acceleration of the plastic sphere (a) Figure 15.11 (a) Analysis and Solution Express the charge on the sphere in coulombs: q 10e 10 (1.60 1019 C) 1.60 1018 C Draw a free-body diagram of the forces acting on the sphere (Figure 15.11 (a)). Because the charge is negative, the elec... |
. 6. An oil droplet with a mass of 6.9 1015 kg is suspended motionless in a uniform electric field of 4.23 104 N/C [down]. (a) Find the charge on this droplet. (b) How many electrons has the droplet either gained or lost? (c) In what direction will the droplet move if the direction of the electric field is suddenly rev... |
the paper. 3 Drop a marble or ball bearing through the opening at the top of the cardboard tube. Retrieve the marble or bearing, then drop it through the tube again, for a total of 50 times. 4 Remove the piece of paper, and look for a pattern in the marks left on it. Questions 1. Discuss with your group what the scatt... |
15.13 Rutherford’s scattering experiment Most of the alpha particles travelled through the foil with a deflection of a degree or less. The number of alpha particles detected dropped off drastically as the scattering angle increased. However, a few alpha particles were scattered at angles greater than 140, and once in ... |
attraction between the positive nucleus and the negative electrons provides the centripetal force that keeps the electrons in their orbits. This model is also known as the solar-system, nuclear, or Rutherford model. To calculate the size of the nucleus, Rutherford applied the law of conservation of energy and an equat... |
56 protons. What is the electric potential energy of a proton located 5.6 1013 m from the centre of an iron nucleus? Answers 1. 1.4 1014 m 2. 2.3 1014 J kq1q2 d, where k is Coulomb’s constant and d is the distance between the alpha particle and the nucleus. The initial distance between the alpha particle and the nucle... |
alpha particles pass closer to the nucleus? Extensions Applications 5. Why did Rutherford conclude that it was just the nucleus that must be extremely tiny in an atom and not the entire atom? 6. (a) By 1900, physicists knew that 1 m3 of gold contains approximately 6 1028 atoms. Use this information to estimate the rad... |
Germany with an expert in spectroscopy. Hansen told Bohr that the wavelengths of the light in the spectrum of hydrogen have a mathematical pattern. No one had yet explained why this pattern occurs. Bohr found the explanation, and provided the first theoretical basis for spectroscopy. spectroscopy: the study of the lig... |
ra characteristic of the elements that produce them? Design and Conduct Your Investigation Investigate the emission spectra produced by various elements. Here are some ways you can heat different elements enough to produce visible light: • Use a Bunsen burner to vaporize a small amount of an element. • Use commercially... |
given in Figure 15.19. Hansen told Bohr about this formula. Bohr later remarked, “As soon as I saw Balmer’s formula, the whole thing was immediately clear to me.” Bohr had realized that the spectral lines corresponded to differences between quantized energy levels in the hydrogen atom. This concept was the foundation ... |
distances from the nucleus. r1 4r1 9r1 16r1 Orbit Sizes Bohr’s model of the hydrogen atom states that electrons can orbit the nucleus only at specific locations given by the expression: rn h2 42mke2 n2 where rn is the radius of the nth possible orbit for an electron and n is the principal quantum number, which can hav... |
than the ground state ionization energy: energy required to remove an electron from an atom Example 15.6 How much energy must a hydrogen atom absorb in order for its electron to move from the ground state to the n 3 energy level? Given ninitial 1 nfinal 3 Required energy absorbed by atom (E) Analysis and Solution The ... |
0.38 0.54 0.85 1.5 3. 13.6 Lyman series (ultraviolet) n 1 Figure 15.21 The first six energy levels for hydrogen. Which arrow represents the transition that releases the most energy? 776 Unit VIII Atomic Physics 15-PearsonPhys30-Chap15 7/24/08 4:00 PM Page 777 15-5 Inquiry Lab 15-5 Inquiry Lab An Emission Spectrum Ques... |
13.5). Sometimes the spacing of the slits, d, is marked on the grating. If not, ask your teacher for this information. 3. Determine the energy difference between the two energy states. 4. Draw an energy level diagram showing the electron transition. Chapter 15 Electric force and energy quantization determine atomic st... |
ission Line Spectrum of Oxygen Alberta skies often display one of nature’s most beautiful phenomena — the aurora borealis, or northern lights, which you first studied in Chapter 12. At altitudes between 100 km and 400 km above the surface of Earth, high-energy electrons, trapped by Earth’s magnetic field, interact with... |
. What colours would these transitions produce? Determine their wavelengths. 4.17 eV to Efinal 15.4 Check and Reflect 15.4 Check and Reflect Knowledge 1. Explain what the phrase “quantized process” means. 2. Sketch the first five orbits in a hydrogen atom. Indicate on your sketch which transitions cause the blue, green... |
n 3 energy levels in hydrogen. (b) Find the energy difference between the n 5 and n 6 energy levels in hydrogen. (c) What happens to the energy difference between successive orbits as the distance from the nucleus increases? 10. The ionization energy for an atom is the energy required to remove an electron completely ... |
accomplishments, the theory has several serious failings: • It does not really explain why energy is quantized, nor why orbiting electrons do not radiate electromagnetic energy. • It is not accurate for atoms that have two or more electrons. • It does not explain why a magnetic field splits the main spectral lines int... |
1 2r2 2, and 2r3 1, 3 In 1926, Erwin Schrödinger (1887–1961) derived an equation for determining how electron waves behave in the electric field surrounding a nucleus. The solutions to Schrödinger’s equation are functions that define the amplitude of the electron wave in the space around a nucleus. Max Born (1882–1970)... |
quantization of charge led to raisin-bun model disproved by led to solar-system model predicts instability led to is basis of reveals energy quantization led to failings led to quantum model Chapter 15 Electric force and energy quantization determine atomic structure. 785 15-PearsonPhys30-Chap15 7/24/08 4:00 PM Page 7... |
and an excited state? 15. (15.4) Here are four energy-level transitions for an electron in a hydrogen atom: 4 → nf 8 → nf ni ni ni ni (a) For which of these transition(s) does the 1 → nf 2 → nf 5 5 3 3 atom gain energy? (b) For which transition does the atom gain the most energy? (c) Which transition emits the photon ... |
is the result of photon emission. (a) Explain which process is involved in transitions A, B, and C. (b) For the transition that produces a photon, determine the wavelength of the photon. collision transfers energy 20.61 eV A 20.66 eV B 18.70 eV C ground state helium neon 24. Determine the electric field that will stop... |
— from Leaves of Grass by Walt Whitman When the American poet Walt Whitman wrote this line in 1855, the reactions within stars were unknown, the nucleus had not been discovered, and there was no clear proof that atoms exist. By the late 1950s, however, a new interpretation of Whitman’s words was possible. Astrophysici... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.