wolfson eup3 ch36 test bank

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Essential University Physics, 3e (Wolfson) Chapter 36 Atomic Physics 36.1 Conceptual Questions 1) If two electrons in an atom have the same energy, then they must have the same four quantum numbers. A) true B) false C) They cannot both have the same energy. Answer: B Var: 1 2) If two electrons in the same atom have the same four quantum numbers, then they must have the same energy. A) true B) false C) They cannot both have the same four quantum numbers. Answer: C Var: 1 3) Consider the four quantum numbers of an electron in an atom, n, l, m l , and m s . The energy of an electron in an isolated atom depends on A) n only. B) n and l only. C) n, l, and m l only. D) l, m l , and m s only. E) all four quantum numbers. Answer: A Var: 1 4) For each value of the principal quantum number n, what are the possible values of the electron spin quantum number m s ? (There may be more than one correct choice.) A) 0 B) +1/2 C) -1/2 D) +3/2 E) -3/2 1 Copyright © 2016 Pearson Education, Inc.

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Essential University Physics Test Bank by Wolfson 3rd Edition

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Page 1: Wolfson Eup3 Ch36 Test Bank

Essential University Physics, 3e (Wolfson)Chapter 36 Atomic Physics

36.1 Conceptual Questions

1) If two electrons in an atom have the same energy, then they must have the same four quantum numbers.A) trueB) falseC) They cannot both have the same energy.Answer: BVar: 1

2) If two electrons in the same atom have the same four quantum numbers, then they must have the same energy.A) trueB) falseC) They cannot both have the same four quantum numbers.Answer: CVar: 1

3) Consider the four quantum numbers of an electron in an atom, n, l, ml, and ms. The energy of an electron in an isolated atom depends onA) n only.B) n and l only.C) n, l, and ml only.D) l, ml, and ms only.E) all four quantum numbers.Answer: AVar: 1

4) For each value of the principal quantum number n, what are the possible values of the electron spin quantum number ms? (There may be more than one correct choice.)A) 0B) +1/2C) -1/2D) +3/2E) -3/2Answer: B, CVar: 1

5) Which of the following are characteristics of laser light? (There may be more than one correct choice.)A) It is coherent.B) It is produced by an inverted population of atoms.C) It contains a full spectrum of wavelengths.Answer: A, BVar: 1

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36.2 Problems

1) An electron in a hydrogen atom is in the n = 7 shell. How many possible values of the orbital quantum number l could it have?A) 6B) 7C) 15D) 33E) 98Answer: BVar: 1

2) An electron in a hydrogen atom has orbital quantum number l = 7. How many possible values of the magnetic quantum number ml could it have?A) 6B) 7C) 15D) 33E) 98Answer: CVar: 1

3) An electron in a hydrogen atom has principal quantum number n = 4. How many possible values of the orbital quantum number l could it have?A) 8B) 9C) 3D) 4E) 10Answer: DVar: 1

4) An electron in a hydrogen atom has orbital quantum number l = 4. How many possible values of the magnetic quantum number ml could it have?A) 4B) 10C) 5D) 9E) 3Answer: DVar: 1

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5) If the orbital quantum number is l = 4, which one of the following is a possible value for the principal quantum number n?A) 1B) 2C) 3D) 4E) 8Answer: EVar: 1

6) If the principal quantum number of an electron is n = 5, which one of the following is NOT an allowed magnetic quantum number ml for the electron?A) 0B) 2C) 3D) 4E) 5Answer: EVar: 1

7) If an electron has spin quantum number ms = - what is the possible value for the orbital

quantum number l of the electron?A) 0B) 1C) 2D) 11E) All of the above numbers are possible.Answer: EVar: 1

8) In the ground state, the quantum numbers (n, l, ml, ms) for hydrogen are, respectivelyA) 1, 1, 1, 1B) 1, 0, 0, 0

C) 1, 0, 0, ±

D) 1, 1, 1, ±

E) 1, 1, 0, ±

Answer: CVar: 1

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9) The binding energy of the hydrogen atom in its ground state is -13.6 eV. What is the energy when it is in the n = 5 state?A) 2.72 eVB) -2.72 eVC) 0.544 eVD) -0.544 eVE) -68 eVAnswer: DVar: 1

10) What is the energy of an incident photon that is just enough to excite a hydrogen atom from its ground state to its n = 4 state?A) 12.75 eVB) 10.20 eVC) 3.40 eVD) 0.85 eVAnswer: AVar: 3

11) How fast must a hydrogen atom be traveling for its kinetic energy to be just enough to excite the ground-state atom to its first excited state in a collision? (1 eV = 1.60 × 10-19 J, mH ≈

mproton = 1.67 × 10-27 kg)A) 44.2 km/sB) 21.7 km/sC) 66.5 km/sD) 113 km/sE) 51.0 km/sAnswer: AVar: 1

12) What is the minimum speed needed by a ground-state hydrogen atom for its kinetic energy to be enough to ionize the atom in a collision? (1 eV = 1.60 × 10-19 J, mH ≈ mproton = 1.67 × 10-

27 kg)A) 44.2 km/sB) 21.7 km/sC) 66.5 km/sD) 113 km/sE) 51.0 km/sAnswer: EVar: 1

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13) The normalized wave function for a hydrogen atom in the 1s state is given by ψ(r) =

e-r/α0 where α0 is the Bohr radius, which is equal to 5.29 × 10-11 m. What is the probability of finding the electron at a distance greater than 7.8 α0 from the proton?

A) 2.3 × 10-5

B) 1.2 × 10-5

C) 1.7 × 10-5

D) 4.6 × 10-5

E) 3.5 × 10-5Answer: AVar: 1

14) What is the greatest magnitude of the orbital angular momentum L for an electron in a state with principal quantum number A) 4.47B) 4.90C) 5D) 5.48Answer: AVar: 5

15) What is the greatest total angular momentum J for an electron in the n = 2 shell?A) 1.9B) 2.5C) 0.50D) 3.5E) 1.5Answer: AVar: 1

16) The magnitude of the orbital angular momentum L of an electron in a certain atom is equal to 3.464ħ. What is the orbital quantum number l of the electron?A) 1B) 2C) 3D) 4E) 5Answer: CVar: 1

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17) The magnitude of the orbital angular momentum L of an electron in a certain atom is equal to 3.464ħ. Which one of the following numbers could be the principal quantum number n of the electron?A) 0B) 1C) 2D) 3E) 4Answer: EVar: 1

18) The magnitude of the orbital angular momentum L of an electron in a certain atom is equal to 3.464ħ. Which of the following angles could NOT be the angle between the orbital angular momentum vector of the electron and an arbitrary z-direction?A) 107°B) 90.0°C) 73.2°D) 54.7°E) 0.00°Answer: EVar: 1

19) How many electrons can be found with principal quantum number in a suitably heavy atom?A) 18B) 6C) 20D) 9Answer: AVar: 3

20) An atom has completely filled inner shells and a single valence electron in an excited p state. The filled inner shells have an orbital momentum equal to zero. What is the magnitude of the orbital angular momentum L of the atom?A) 1.0ħB) 1.2ħC) 1.4ħD) 1.7ħE) 2.0ħAnswer: CVar: 1

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21) An atom has completely filled inner shells and a single valence electron in an excited p state. The filled inner shells have an orbital momentum equal to zero. A magnetic field is applied, defining the z-axis along the field. Which of the following sets of angles are possible angles between the magnetic field and the orbital angular momentum?A) 45°B) 90°C) 45°, 90°D) 45°, 135°E) 45°, 90°, 135°Answer: EVar: 1

22) The only VALID electron state and shell designation among the following isA) 1p, K.B) 2s, K.C) 1s, L.D) 2p, L.E) 3f, M.Answer: DVar: 1

23) The only INVALID electron state and shell designation among the following isA) 1s, K.B) 2s, L.C) 2d, L.D) 3s, M.E) 3d, M.Answer: CVar: 1

24) The correct ground state electron configuration of boron, which has 5 electrons, isA) 1s22s22p.B) 1s22s22p3.C) 1s21p22s.D) 1s22p23s.E) 1s22p3.Answer: AVar: 1

25) Consider the n = 9 shell.(a) What is the largest value of the orbital quantum number, l, in this shell?(b) How many electrons can be placed in this shell?Answer: (a) 8 (b) 162Var: 9

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26) An atom with 5 electrons is in its ground state. How many electrons are in its outermost shell?Answer: 3Var: 8

27) How many electrons does it take to fill the d subshell?A) 10B) 6C) 14D) 4E) 8Answer: AVar: 1

28) How many possible sets of quantum numbers (electron states) are there in the 5f subshell?A) 2B) 6C) 8D) 10E) 14Answer: EVar: 1

29) A neutral atom has an electron configuration of 1s22s22p63s23p2. How many protons does it have in its nucleus?A) 5B) 11C) 14D) 20E) 26Answer: CVar: 1

30) What is the electron configuration for ground state Li, which has 3 electrons?A) 1s3

B) 1s12s2

C) 1s22s1

D) 1s21p1

E) 1s11p2Answer: CVar: 1

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31) What is the correct electronic configuration for ground state carbon, which has 6 electrons?A) 1s22s22p2

B) 1s12p1

C) 1s12s22p1

D) 1s12s12p1

E) 1s22s22p4Answer: AVar: 1

32) What is the correct electronic configuration for the ground state sodium atom, which has 11 electrons?A) 1s12s23p62s2

B) 1s22s13p62s2

C) 1s12s22p6

D) 1s22s22p63s2

E) 1s22s22p63s1Answer: EVar: 1

33) A collection of atoms has 20% of the sample in a state above the ground state. If these

emit coherent radiation, what is the wavelength of the laser light produced? (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J) A) 210 nmB) 91 nmC) 340 nmD) 34 nmAnswer: AVar: 31

34) How many photons per second emerge from a laser of power with wavelength

(c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s)

A) 6.09 × 1015 photons/sB) 5.03 × 1012 photons/sC) 3.07 × 1015 photons/sD) 3.07 × 1013 photons/sAnswer: AVar: 38

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35) You need 14 W of infrared laser light power with wavelength 1270 nm to bore a hole in a diamond. How many downward atomic transitions per second must occur in the laser if all of them result in light directed onto the diamond? (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s)A) 8.9 × 1019 B) 8.9 × 1018 C) 5.9 × 1019 D) 2.7 × 1018 Answer: AVar: 1

36) The wavelength of a ruby laser is 694.3 nm. What is the energy difference between the two energy states involved in laser action? (c = 2.9979 × 108 m/s, h = 6.626 × 10-34 J ∙ s, 1 eV = 1.6022 × 10-19 J)A) 1.537 eVB) 1.646 eVC) 1.786 eVD) 1.812 eVE) 3.572 eVAnswer: CVar: 1

37) In a ruby laser, an electron jumps from a higher energy level to a lower one. If the energy difference between the two levels is 1.8 eV, what is the wavelength of the emitted photon? (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)A) 350 nmB) 470 nmC) 650 nmD) 690 nmE) 960 nmAnswer: DVar: 1

38) An s state (l = 0) energy level is split into two levels by an applied magnetic field. A photon of microwave radiation having frequency 60 GHz induces a transition between the two levels. What is the magnitude of the applied magnetic field? (h = 6.626 × 10-34 J ∙ s, Bohr magneton = μB = 9.27 × 10-24 J/T)A) 2.1 TB) 0.34 TC) 1.2 TD) 2.8 TE) 13 TAnswer: AVar: 50+

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