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# Intro Physics I PHYS 2211

GPA 3.67

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This 0 page Class Notes was uploaded by Kylie Bartoletti DVM on Monday November 2, 2015. The Class Notes belongs to PHYS 2211 at Georgia Institute of Technology - Main Campus taught by Fernandez-Nieves in Fall. Since its upload, it has received 8 views. For similar materials see /class/234271/phys-2211-georgia-institute-of-technology-main-campus in Physics 2 at Georgia Institute of Technology - Main Campus.

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Date Created: 11/02/15

144 pointsAllV39SubmissionsNotesQuestio n MI3 83x0391 7 Match the description of a process with the corresponding diagram IE Emission of a photon whose energy is Ez Eo E Absorption of a photon whose energy is El Eo quotdark linequot spectrum IEIIEI El Absorption from an excited state this hardly ever happens in dark line spectrum absorption experiments at low temperatures El because an excited state drops back to the ground state so quickly that there is never a significant number of atoms in an excited state capable of absorbing the photon Emission of a photon whose energy is E3 E1 V In drawing arrows to represent energy transitions which of the following statements are correct F The head of the arrow is drawn on the final stately For emission the arrow points downp For absorption the arrow points upr It doesn39t matter which direction you draw the arrow as long as it connects the initial and final states The tail of the arrow is drawn on the initial state Section 83 2i4l4 pointsAlI Submissions NotesQuestion MIS 831Xj01639 A hydrogen atom is in state N 3 where N 1 is the lowest energy state What is KU in electron volts for this atomic hydrogen energy state E3 v Elev The hydrogen atom makes a transition to state N 2 What is KU in electron volts for this lower atomic hydrogen energy state Elev What is the energy in electron volts of the photon emitted in the transition from levelN 3toN 2 Ephoton 189 Elev Which of the graphs below represents this transition V Solution or Explanation ha 7WW G KJZL r 3 MINI IJr ark JIHKIC I ALJKH Hxx fx AL C HR r rxJLWArxJI The energy of level N is EN KUe Ephoton Einitial 39 Efinal Section 83 Practice Another Version 3454L5 pointsAIl Submissions NotesQuestion M38339PO 26 Suppose a hypothetical object has just four quantum states with the following energies 05 eV third excited state 09 eV second excited state 23 eV first excited state 45 eV ground state a Suppose that material containing many such objects is hit with a beam of energetic electrons that ensures that there are always some objects in all of these states What are the six energies of photons that could be strongly emitted by the material In actual quantum objects there are often quotselection rulesquot that forbid certain emissions even though there is enough energy assume that there are no such restrictions here List the photon emission energies in order from largest to smallest If two different t39ransitions would produce photons of the same energy list that energy twice v Elev largest v Elev viquot Elev smallest b Next suppose that the beam of electrons is shut off so that all of the objects are in the ground state almost all the time If electromagnetic radiation with a wide range of energies is passed through the material what will be the three energies of photons corresponding to missing quotdarkquot lines in the spectrum Remember that there is hardly any absorption from excited states because emission from an excited state happens very quickly so there is never a significant number of objects in an excited state Assume that the detector is sensitive to a wide range of photon energies not just energies in the visible region List the dark line energies in order from largest to smallest 4 W39 Elev largest Elev v EleV smallest Solution or Explanation Call the four states 0 g round state 1 2 and 3 If the initial state is the highest quantum state 3 photon emissions can occur through transitions to states 0 1 and 2 and the photon energies correspond to the energy lost by the object If the initial state is the next highest state 2 photon emissions can occur only to the lower states 0 and 1 If the initial state is the lowest excited state 1 the only emission possible is to the ground state No emissions are possible starting from the ground state Section 83 Fi39actice Another Version 4414 pointsAll SubmiS39sions NotesQuestion MI2 07P18 Suppose we have reason to suspect that a certain quantum object has only three quantum states When we excite a collection of such objects we observe that they emit electromagnetic radiation of three different energies 01 eV infrared 22 eV visible and 23 eV visible a Draw a possible energy level diagram for one of the quantum objects which has three bound states On the diagram indicate the transitions corresponding to the emitted photons and check that the possible transitions produce the observed photons and no others When you are sure that your energy level diagram is consistent with the observed photon energies enter the energies of each level KU which is negative Enter ALL levels before submitting all of the energies must be correct to be properly scored The energy KU of the ground state is 6 eV v Elev energy of highest level 2nd excited state r Elev energy of next highest level lst excited state 6 eV energy of ground state b The material is now cooled down to a very low temperature and the photon detector stops detecting photon emissions Next a beam of light with a continuous range of energies from infrared through ultraviolet shines on the material and the photon detector observes the beam of light after it passes through the material What photon energies in this beam of light are observed to be significantly reduced in intensity quotdark absorption linesquot Energy of hig hest energy dark line 2 VS Elev Energy of lowest energy dark line 6quot Elev c There exists another possible set of energy levels for these objects which produces the same photon emission spectrum On an alternative energy level diagram different from the one you drew in part a indicate the transitions corresponding to the emitted photons and check that the possible transitions produce the observed photons and no others When you are sure that your alternative energy level diagram is consistent with the observed photon energies enter the energies of each level KU which isnegative Enter ALL levels before submitting all of the energies must be correct to be properly scored w Elev energy of highest level 2nd excited state 9 Elev energy of next highest level lst excited state 6 eV energy of ground state d For your second proposed energy level scheme what photon energies would be observed to be significantly reduced in intensity in an absorption experiment quotdark absorption linesquot Given the differences from part b you can see that an absorption measurement can be used to tell which of your two energy level schemes is correct Energy of hig hest energy dark line Elev Energy of lowest energy dark line leV Solution or Explanation Here is a detailed solution Fi39actice Another Version 511 pointsAll Submissions NotesQuestion MI3 8 2 X015r A certain laser outputs pure green light photon energy 25 eV with power 600 milliwatts 06 watts How many photons per second does this laser emit f Elp hotonss Solution or Explanation If there are N photons of energy E emitted in one second the output power is NE Js Solve for N remembering to express the photon energy in joules where 1 eV 16 x 103919 J Section 82 Fi39actice Another Version 6515 pointsAll Submissions Notes The Bohr model The Bohr model correctly predicts the main energy levels not only for atomic hydrogen but also for other quotone electronquot atoms where all but one of the atomic electrons has been moved as as in He one electron removed or Li two electrons removed To help you derive an equation for the N energy levels for a system consisting of a nucleus containing Zprotons and just one electron answer the following questions Your answer may use some or all of the following variables N Z hbar pi epsilonO e and m a What are the allowed Bohr radii r INquot2hbarquot214piepsilonOequot2m Z w I Nquot2Zhbarquot214piepsilon0equot2mI III b What is the allowed kinetic energy Instead of substituting in your answer for part a you may use the variable r k EM I c What is the allowed electric potential energy Instead of substituting in your answer for part a you may use the variable r L1 Z4piepsilon0equot2r EV 14piepsion0equot2rZ III d Combining your answers from part a b and c what are the allowed energy levels ouranswer should not contain the the variable r use your result from part a E 12Z4piepsion0e 2Nquot2hbarquot214piepsilon0equot2mZ EV I 14piepsilon0quot2equot4Zquot2m2N A2hbar2 239 symbolic formatting help e The negative muon if behaves like a heavy electron with the same charge as the electron but with a mass 207 times as large as the electron mass As a moving if comes to rest in matter it tends to knock electrons out of atoms and settle down onto a nucleus to form a quotone muonquot atom Calculate the radius of the smallest Bohr orbit for a p bound to a nucleus containing 68 protons and 67 neutrons Your answer should be numeric and in terms of meters Elm H39actice Another Version 7111 pointsAll Submissions NotesQuestion MIS 83X019 The Franck Hertz experiment involved shooting electrons into a low density gas of mercury atoms and observing discrete amounts of kinetic energy loss by the electrons Suppose instead a similar experiment is done with a very cold gas of atomic hydrogen so that all of the hydrogen atoms are initially in the ground state If the kinetic energy of an electron is 11eV just before it collides with a hydrogen atom how much kinetic energy will the electron have just after it collides with and excites the hydrogen atom Kfinal leV Solution or Explanation The ground electronic state of hydrogen is 136 eV The first excited state is 34 eV The electron will lose 34 136 102 eV if it excites the hydrogen atom The final kinetic energy of the electron is this much less than its initial kinetic energy Note that the electron doesn39t have enough initial kinetic energy to excite the second excited state of hydrogen Section 83 Ftactice Another Version 83t3 pointsAll Submissions NotesQuestion M3 8 2X005r Suppose you had a collection of a large number of hypothetical quantum objects each of whose individual energy levels were 42 eV 25 eV 20 eV and 09 eV If nearly all of these identical objects were in the ground state what would be the energies of dark spectral lines in an absorption spectrum if visible white light 18 to 31 eV passes through the material Enter the energies in order of increasing energy followed by entering 0 in any later boxes for which there is no dark line within the visible spectrum That is if your answers were 1 2 and 3 eV you would enter 1 in the first box 2 in the second box and 3 in the third box If your answers were 1 and 2 eV you would enter 1 in the first box 2 in the second box and 0 in the third box If your answer isjust 1 eV you would enter 1 in the first box 0 in the second box and 0 in the third box Smallest energy of a dark line V Elev Next larger energy of a dark line or 0 EV Dev Next larger energy of a dark line or 0 El E leV Solution or Explanation The quantum objects can only absorb photons with energies corresponding to the energy differences between excited states and the ground state The quantum objects will not stay excited long enough to absorb photons with energies corresponding to energy differences between excited states Section 82 Fi39actice Another Version 9iIi pointsAllSubmissionsNotesQuestio n M3 87x033 Match the type of system or situation to the appropriate energy level diagram IEHEI HIE IEIIEI HIE IEIIEI vibrational states of a diatomic molecule such as 02 nuclear such as the nucleus of a carbon atom electronic vibrational and rotational states of a diatomic molecule such as 02 idealized quantized spring mass oscillator rotational states of a diatomic molecule such as a b T nically 100 MeV C Tn mlly l M EV d El electronic states of a single atom such as El hydrogen hadronic such as A c l l39jx39 nicallj 000131 e39 llllll V Section 87 1088 peintsAll Submissions th SQues t ionz MI3 83P027a39t01 a The diagram below is a graph of potential energy vs interatomic separation for a particular diatomic molecule that is a molecule consisting of two atoms Enr rgjr For the energy level shown on the graph imagine drawing a line whose length represents the kinetic energy when the interatomic separation is re This line runs from where to where E from 4 to 2E from 2 to 3 E from 1 to 2 from 4 to SE3 from 1 to 38 from 2 b The graph below shows all of the quantized energies bound states for one of these molecules For this molecule E0 22 eV E1 119 eV E2 054 eV and E3 029 eV What is the minimum amount of energy required to break a molecule apart if it is initially in the ground state Note that the final state must be an unbound state the unbound states are not quantized v IeV Energy c If the temperature is high enough in a collection of these molecules there will be at all times some molecules in each of these states and light will be emitted What photon energies could be detected in the emitted light List the energies in ascending order Here are seven particles each with the same magnitude of momentum H 35 kg ms but with different directions of momentum and different positions relative to location A The distances shown in the diagram have these values w l8mh27mandd26m Calculate the 2 component of angular momentum LA2 for each particle X to the right y up 2 out of the page Make sure you give the correct sign 1 LA2 945 kg m2s 2 LA2 945 kg m2s 3 LA2 945 kg m2s 4 LA2 630 kg m2s 5 LA2 0 kg m2s 6 LA2 0 kg m2s 7 LA2 910 kg m2s Section 111 2 88 points All Submissions Notes Question M13 lllX002alt01 Determine both the magnitude and direction of the translational angular momentum of the particle at location 0 relative to each point A B C D E F G and H The magnitude of the momentum p 70 kgms and the distances are h 11 m b 8 m and w 10 m Assume the usual coordinate system X to the right y up and 2 out of the page toward you lAl 560 kg m2s Direction 2 Bl 560 kg m2s Direction 2 lCl 0 kg m2s Direction lDl 770 kg m2s Direction 2 lEl 770 kg m2s Direction 2 lFl 770 kg m2s Direction 2 lGl 0 kg m2s Direction lHl 560 kg m2s Direction 2 Section 111 3 22 points All Submissions Notes Question M13 lllX0020l What are the magnitude and direction of the angular momentum about location K for the object shown below The magnitude of the object s momentum H 6 kgms the distance H 04 m and the angle 115 degrees lKl 2175 kgm2s into page leClConve1terInpuUVJCG26XSXSDltt5220l1 74646 AM Section 111 4 88 points All Submissions Notes Question M13 111X031alt01 A common amusement park ride is a Ferris wheel not drawn to scale Riders sit in chairs that are on pivots so they remain level as the wheel turns at a constant rate A particular Ferris wheel has a radius of 26 meters and it makes one complete revolution around its aXle at location A in 20 seconds In all of the following questions consider location A at the center of the aXle as the location around which we will calculate the angular momentum At the instant shown in the diagram a child of mass 38 kg sitting at location H is traveling with velocity lt 0 82 0gt ms What is the momentum of the child 0 3116 0 kgms In the definition what is the vector 26 0 0 m What is 26 m What is the magnitude of the angular momentum of the child about location A 81016 kgm2s Use the righthand rule to determine the zcomponent of the angular momentum of the child about location A 81016 kgm2s You used the righthand rule to determine the zcomponent of the angular momentum but as a check calculate in terms of position and momentum What is 81016 kgm2s What is 0 kgm2s What is the zcomponent of the angular momentum of the child about location A 81016 kgm2s The Ferris wheel keeps turning and at a later time the same child is at location G with coordinates lt 18385 18385 0 gt m relative to location A moving with velocity lt 5798 5798 0 gt ms Now what is 405066 kgm2s What is 405066 kgm2s What is the zcomponent of the angular momentum of the child about location A 810131 kgm2s Section 111 leClConve1terInpuUVJCG26XSXSDltt522011 74646 AM

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