Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom r pcd zz2u/a7)is directly proportional to its2zad7cp rz/)u

A. energy.

B. momentum.

C. wave function.

D. square of the wave function.

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2#

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State Heisenberg's Uncertainty Principlmb37q yogi)fm9 gw7e9e.

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3#

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The reason the position of a particle cannskb e t02co,y7ot be specified with infinite precision is t,2 b7yct 0soekhe

A. exclusion principle.

B. uncertainty principle.

C. photoelectric effect.

D. principle of relativity.

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4#

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If the accuracy in measuring the pos ap.dn2.t ,3 zfe3ilnfition of a particle increases, the accuracy in3 .ftfnpl.2,3 izeand measuring its velocity will

A. increase.

B. decrease.

C. remain the same.

D. be uncertain.

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5#

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If the accuracy in measuring tx;8wwy5+ke j k9+spkh he velocity of a particle increases, the accuracy in measure+k8xw j 9k5;p+khs wying its position will

A. increase.

B. decrease.

C. remain the same.

D. be uncertain.

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6#

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The quantity "h-bar" has a valu2 w boru1+p0q:z1ur8my 5bfng e of

A. $1.055 \times 10^{-34} \; J \cdot s$.

B. $6.626 \times 10^{-34} \; J \cdot s$.

C. $8.85 \times 10^{-12} \; J \cdot s$.

D. $8.988 \times 10^{9} \; J \cdot s$.

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7#

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The principal quantum number can have hgkm nu:1 ;btlgy,wx*+ 4 nx6cany integer value ranging from

A. $-\infty$ to $+\infty$.

B. 0 to $+\infty$.

C. 1 to $+\infty$.

D. 1 to 100.

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8#

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The orbital quantum number can have any integer value ra*mlsl0 u t;3atnging from

A. 0 to n.

B. 0 to (n-1).

C. 1 to n.

D. 1 to (n+1).

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9#

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The magnetic quantum number can have any integer valueukq7r*,1dqg v ranging from

A. -n to +n.

B. -l to +l.

C. 0 to n.

D. 0 to l.

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10#

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The spin quantum numz;v;gs)+y yc5m-oy .1kt .dy-c bdlzlber can have values of

A. $-\frac{1}{2} , -1, 0, +1, +\frac{1}{2}$.

B. $-\frac{1}{2} , -1, +1, +\frac{1}{2}$.

C. $-\frac{1}{2} , 0, +\frac{1}{2}$.

D. $-\frac{1}{2} , +\frac{1}{2}$.

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11#

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If l = 4, which one of the following is a possible quantuh)tzz(du d+ ;gm number for n?

A. 0

B. 2

C. 4

D. 8

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12#

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If n = 5, which one of the following is not an allowed magnetic quantum number?m2sl:4.xnqm6 vt1lw q

A. 0

B. 2

C. 4

D. 5

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13#

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The wave equation for hydrogen has solutions only if the three quantum numbehhk.cq1 r 7a)grs $n$, $l$, and $m_l$ meet certain conditions. One of these conditions specifies that n

A. can be any real number.

B. can be any non-negative integer.

C. can be any integer.

D. can be any positive integer.

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14#

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The wave equation for hyq/w:oq t/u :csdrogen has solutions only if the three quantum numbers $n$, $l$, and $m_l$ meet certain conditions. One of these conditions specifies that l

A. is either zero or +1.

B. is either equal to or less than n-1.

C. is a positive integer.

D. has an absolute value that is either equal to or less than n.

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15#

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The wave equation for hydrogen has solutions only if 7cruzf 6y8z stjimgih/x9+5xaag;;3 the three quantum numbers $n$, $l$, and $m_l$ meet certain conditions. One of these conditions specifies that $m_l$

A. has an absolute value either equal to or less than l.

B. is equal to or less than n.

C. is equal to or greater than 1.

D. can be any integer.

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16#

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In the ground state, the quan8tcn;egp)jo6 tum numbers ($n$, $l$, $m_l$, $m_s$) for hydrogen are, respectively,

A. 1, 1, 1, 1.

B. 1, 0, 0, 0.

C. 1, 0, 0, ±1/2.

D. 1, 1, 1, ±1/2.

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17#

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According to the selection rule, when a photon is emitted bd;bovdb o-+2 0 ;mx8w4q qprzor absorbed, transitions can only occur between state w v4+ o2pdqowb;bqr8xm dzb0- ;ith values of l that differ by

A. four units.

B. three units.

C. two units.

D. one unit.

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18#

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The number of electrons in a neutral atom is called imwpbfa;5v/4h2 r6g vsts

A. principal quantum number.

B. orbital quantum number.

C. magnetic quantum number.

D. atomic number.

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19#

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State the Pauli exclusion prin)/2 uyr*zezzu 2kh1oe/q1lk kl*qpi ) ciple.

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20#

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In terms of an atom's electrons/jfpqq.fb qgw, * l:+ configuration, the letters K, L, M, and N refer to.s ff/bqql +pjq:wg,*

A. different shells with n equal to 1, 2, 3, or 4 respectively.

B. different sub shells with l equal to 1, 2, 3, or 4 respectively.

C. the four possible levels for the magnetic quantum number.

D. the four possible quantum numbers.

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21#

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What is the maximum number of elec. q2m wm00oepsj lls1wy3 42wvtrons that can occupy the $g$ sub shell?

A. 10

B. 14

C. 18

D. 22

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22#

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How many possible sets of quantum numbers or electron states are therek0; b1cf5w. -ws;lgtisp1(esde xd 1a in the $5f$ sub shell?

A. 2

B. 8

C. 10

D. 14

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23#

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The elements in the periodic table that have completek-ccdas1 e/,wno 28by ly filled shells or subshelky2waoecsb ,- c8d/n 1ls are referred to as

A. noble gases.

B. halogens.

C. alkali metals.

D. transition elements.

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24#

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The elements in the periodic tablekuo9ggmmo-8g3z yg0e dq4)y; which lack one electron from a filled shell are referred tog mgm g;okqg) yu43ye0zd-89o as

A. noble gases.

B. halogens.

C. alkali metals.

D. transition elements.

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25#

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The elements in the periocbzh4x8dx*yk(j5 w t(dic table which have a single outer s electron are refetc hbw8xj (54k*yxd (zrred to as

A. noble gases.

B. halogens.

C. alkali metals.

D. transition elements.

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26#

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The word LASER is an acrorb+dh5 vg951k4vjo5b t qq), 6gqmdbpnym for

A. Light Altered Spectra of Energy Radiated.

B. Latent Source of Enhanced Radiation.

C. Light Amplification by the Stimulated Emission of Radiation.

D. Light Absorbed States of Energetic Resonance.

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27#

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In order to produce a hologram, one needs, in addition t lhoy6w6+ j3kzo an object and a piece of lw kh+oz3y6j6 photographic film,

A. a beam of monochromatic light and a mirror.

B. a beam of monochromatic light and a lens.

C. a beam of coherent light and a lens.

D. a beam of coherent light and a mirror.

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28#

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When a hologram is illuminated.miar9pyf -*n with a beam of coherent light, it produces

A. both a real and a virtual image.

B. only a real image of the object.

C. only a virtual image of the object.

D. none of the given answers

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29#

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An electron inside a hydrogen atom is confinef;smisfw*j 6- d to within a space of about 0.110 nm. Ifimw;-fs *sfj6 the electron mass is $9.11 \times 10^{-31} \; kg$, what is the uncertainty in the electron's velocity?

A. $1.05 \times 10^{6} \; m/s$

B. $1.50 \times 10^{6} \; m/s$

C. $1.05 \times 10^{8} \; m/s$

D. $1.50 \times 10^{8} \; m/s$

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30#

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Suppose that the speed of an elecpj:jccp 5 h45u4k.get tron traveling 2000 m/s is known to an accuracy of epj.jp g44kc5u5h t:c 1 part in $10^5$ (i.e., within 0.001%). What is the greatest possible accuracy within which we can determine the position of this electron?

A. $2.9 \; mm$

B. $5.8 \; mm$

C. $8.7 \; mm$

D. $1.2 \; cm$

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31#

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A measurement of an electron0gfd:c m;o )ofbetmk8ir4 9 0s's speed is $2.0 \times 10^6 \; m/s$ and has an uncertainty of 10%. What is the minimum uncertainty in position?

A. $0.29 \; nm$

B. $0.58 \; nm$

C. $0.87 \; nm$

D. $1.2 \; nm$

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32#

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A baseball has mass 143 g and sxc9/ule a2 k2 9rfv1zdpeed 45.0 m/s, with the speed known to within 0.100%. What is the minimufrv1 22 d/9zxlcea 9kum uncertainty in the position of the baseball?

A. $1.56 \times 10^{-32} \; m$

B. $1.65 \times 10^{-32} \; m$

C. $1.56 \times 10^{-30} \; m$

D. $1.65 \times 10^{-30} \; m$

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33#

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The energy of an electron stateg1e6pa p7to:s)qbgt0s,calyf9l * q) has an uncertainty of about 0.500 eV. What is the uncertainty in the lifesb)sqtql6ac 0 9goyf e1*g7l p:p t)a,-time of the level?

A. $1.32 \times 10^{-15} \; s$

B. $8.28 \times 10^{-15} \; s$

C. $1.32 \times 10^{-11} \; s$

D. $8.28 \times 10^{-11} \; s$

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34#

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An electron is known to be confined to a region of width 0.1 nm. What is an kzfn w d:kjm8k f,2hjr*2x+i7 lhbc4) approximate,:jhnxk4h) mdi +r8 jzfck*27wk f2lb expression for the least kinetic energy it could have, in eV?

A. $2.7 \; eV$

B. $3.2 \; eV$

C. $3.8 \; eV$

D. $4.3 \; eV$

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35#

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The radius of a typical nucleus iskpy vop t-),o4 about $5.0 \times 10^{-15} \; m$. Assuming this to be the uncertainty in the position of a proton in the nucleus, estimate the uncertainty in the proton's energy (in eV).

A. $0.4 \; MeV$

B. $0.6 \; MeV$

C. $0.8 \; MeV$

D. $1.0 \; MeV$

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36#

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A hydrogen atom is in thzz.xe lqx ::61v d5m ef9j5ahse $6h$ state. Determine the principal quantum number.

A. 0

B. 5

C. 6

D. 7

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37#

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A hydrogen atom is in 1fmsp+n 0gu0cf o1vc* dm8v*nthe $6h$ state. How many electrons are allowed in this state?

A. 22

B. 18

C. 14

D. 10

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38#

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A hydrogen atom is il0(-;t:xccog m dgkc2n the $6h$ state. Which of the following could be an orbital quantum number?

A. 5

B. 6

C. 7

D. 8

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39#

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A hydrogen atom is in the* p4ovfu (y9 fc+e:0rk*qkuna $6h$ state. Which one of the following is not a magnetic quantum number?

A. 0

B. 2

C. 4

D. 6

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40#

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In a hydrogen atom, a given electron has n = 7. How many values can l eub.zcew o16 q30hsn0 have?

A. 6

B. 7

C. 15

D. 98

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41#

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In a hydrogen atom, a giv1 whe6v fbbh 3dyxinc/2*16zs en electron has l = 7. How many values can $m_l$ have?

A. 6

B. 7

C. 15

D. 98

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42#

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In a hydrogen atom, an electron with n = 7 can exist in how many different qua7qjuux x6ai8 qsjo0.2ntum27 j osauqx06 quij.x8 states?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holding two electrons inl.o; kv*iwy* n orbit. If one of the electrons has quantum numbers (yw;*li*nk o.v$n$, $l$, $m_l$, $m_s$) of 1, 0, 0, -1/2 respectively, the quantum numbers for the other electron will be

A. 1, 1, 0, -1/2.

B. 1, 0, 0, +1/2.

C. 1, 1, 1, +1/2.

D. none of the given answers

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44#

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How many electrons willrxy:p sniz n+s1fx*; 4 fit into a $4f$ sub shell?

A. 3

B. 4

C. 7

D. 14

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Mark Problem

45#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The values of n and l by8ln ge30 ;1fpvx.ue for a $4f$ sub shell are

A. n = 4, l = 4.

B. n = 4, l = 3.

C. n = 3, l = 3.

D. n = 4, l = 2.

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Mark Problem

46#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A neutral atom has electron ggygrm kd+s2 w64gh00p5h cb8configuration $1s^22s^22p^63s^23p^2$. What element is this?

A. carbon

B. nitrogen

C. silicon

D. germanium

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Mark Problem

47#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A neutral atom has an electron confk(k.+h lniv ark ri60 kmqe640iguration of $1s^22s^22p^63s^23p^2$. What is its atomic number?

A. 5

B. 11

C. 14

D. 20

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Mark Problem

48#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A neutral atom has an electron c ,.sxh lmza4 o/p)bv(fonfiguration of $1s^22s^22p^6$. If a neutral atom holds one additional electron, what is the ground state configuration?

A. $1s^22s^22p^63s^1$

B. $1s^22s^22p^7$

C. $1s^22s^32p^6$

D. none of the given answers

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Mark Problem

49#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

What is the electron configuration f o4m2bvev:+ot 3live :or Li which has three electrons?

A. $1s^3$

B. $1s^12s^2$

C. $1s^22s^1$

D. $1s^21p^1$

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50#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

High-energy photons are used to bombard an unknown metal. The z6lzb.m.h)-ghxilefa1 -fw -strongest peak is found for X-raysbzgxfzfl1a. hlwe- i)6 h.--m with an energy of 66 keV. What is the atomic number of the metal?

A. 80

B. 81

C. 82

D. 83

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51#

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What is the shortest-wavelength X-ray photon emitted in an X-ray tube sub6g24dato**q/b1 ja-r a.uumy oxlb8uject to 5u4or1lb. 8jy a gu6aadoq/ *bmut2x-*0 kV?

A. $0.025 \; nm$

B. $0.25 \; nm$

C. $2.5 \; nm$

D. none of the given answers

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52#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

In a ruby laser, an electroneoq vyl4(xgp7mu3vs 7mz -e. ; jumps from a higher energy level to a lower one. If the energy difference between the two levelsgl;z3 p sy.7(7vm muo4eq-evx is 1.8 eV, what is the wavelength of the emitted photon?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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