Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directly propoudd ktbl n;,co 5u 44d5hme.a8rtionalt; 5dhucnd oae54,8 lkm4u d.b to its

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 z8uws1gs4( cvk f1)e8t g3lfvPrinciple.

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3#

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The reason the position of a i o5-ui sb;iad4*dd4d3xt k(a particle cannot be specified with infinite precisiod5 dtb(axos44* i dak id-;iu3n is the

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 position of a vy,f ;gag 3hv9/yhwww-,0 kce particle increases, the accuracy in m-ay3wgw0vhg wyvkc , fh/9e,; easuring 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 the velocity of a particle increases, the ac/w7ft, 4gxgdu curacy in measg/7 4utfxdg,w uring 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 value ofta eo-(n eef; 53bhajo,b 5f3f

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 any integer vaxi tkox7y2o(xn7o3, wlue 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 numbe*- x k2a c0ydsvkr.pu.r can have any integer value ranging 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 )3 xyzl8oy ,rycan have any integer value 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 number can have valugkqt +t(g92js do.pbri v/ r35es 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 fx(5jyl ( gt0b+5tng yfollowing is a possible quantum 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 mdx4f8lufc /+c/h-ehquantum number?

A. 0

B. 2

C. 4

D. 5

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13#

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The wave equation for hydrogex z4zc*s,6u js.gi 38x5(sw m cmikz1nuq(, qpn has solutions only if the three quantum numbers $n$, $l$, 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 hydrogen has s;th 2(z .kxd(kv nbi4solutions 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 -t:1hbw iw b-gthe 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 quantum numbers 3 (dk-qbeq piu,eyo,1rug2mt3+q9dz ($n$, $l$, $m_l$, $m_s$) 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 or abst44ixpiha r9z008kw norbed, transitions canwix ia 0h8k0t4pn9r z4 only occur between state with 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 i(8eir z02q ;p, wnmozneutral atom is called its

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 po9/kjkfa, ( murinciple.

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20#

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In terms of an atom's electron configurat8 j 1z.g.i adpfwr01rl8fp.ban:g im .ion, the letters K, L, M, and N refer tw.im 1.rff p.zrdna8a:8bp ji0g.1lgo

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 electr3hj0jt,xf0 r r, cwy5l c,m0daons 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-h s 55uw+jlfhgy f0)q or electron states are there 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 completely fiu;nfzjceno of,,79z ;lled shells or subshells,o;fc 7 z9, ofu;ennzj 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 table u5b(g c8 -o2m+dcw3dd - fx(jwupxr5p which lack one electron from a filled shell ar cx + jdm8bu5wdo5(2xp fp(w-cud 3gr-e referred to 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 periodic table which have a *z/re4)wp;c v jhb c7gsingle outer s electron are referred 4wc; rbgp*hjv7c /e)zto 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 acronieo9 z0 /awnb ud-:4+1fltzyhym 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 to an object w 916y ned ;zaxe5wpo:,d bgt(and a piece ofb1 :tdye(9;w5xa, g6eoz dw np 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 with a beam of coherent light, it producr,hdjqw/d,mg .. 3c(*8hwf*,twz ff ix,kh iyes

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 confined to withi -glu;ca. z ks6)fzf9in a space of about 0.110 nm. If.sual cz)9- i6 f;zfgk 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 electron traveling 2 ;8 dz80q nmlgx)m-y(w+is nor000 m/s is known to an accuracy nyx0;q m osnizlgr( w8-)dm+8of 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 electron's se/um:t+ws if; 8n(,e ,lfajm hpeed 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 spee r jw5jz+9s+had 45.0 m/s, with the speed known to within 0.100%. Whatjr+s a9jw5+zh is the minimum 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 state has an uncertainty of about 0.500 in9o1pyk)b j8z*k de :eV. What is the uncertainty in the life-time ofokji)9kb1: pyd en8* z 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 widtm ,:apx3ui ;mkma3 am:h 0.1 nm. What is an appa m mmxi:ap3u;ak :m3,roximate 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 nucle.pu:z: f5tb beus is 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 thalx;i8j t**a we $6h$ 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 thhlx6*ut7a;m xe $6h$ 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 in the 01kn)b 2e-d1ophis e w$6h$ 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 in2a:5v/u xm cfknkr: -g the $6h$ 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 = 3czxdwy+zc) ue 7g bjr):v-1 g7. How many values can l have?

A. 6

B. 7

C. 15

D. 98

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41#

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In a hydrogen atom, a given electron has l = 7. How ;s *euq-r nl,imany 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 ca6pa qjdv2ozui) 1omx3b .,8f pn exist in how many different quantum stp 1zi 2)op,md ojbuf xv68.a3qates?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holding two elecn8wb494 3mc*2ue h lg9hynga mtrons in orbit. If one of the electrons has quantum nu3habgn*me 84 gy4hn lm cu929wmbers ($n$, $l$, $m_l$, $m_s$) 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 will f *0hy, iokzf7iit into a $4f$ sub shell?

A. 3

B. 4

C. 7

D. 14

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45#

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The values of n and l for a,b7sol3*cemx7 wvskf*8 kpr v- 1z 1ke $4f$ 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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46#

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A neutral atom has electron02a xr:j mixy, configuration $1s^22s^22p^63s^23p^2$. What element is this?

A. carbon

B. nitrogen

C. silicon

D. germanium

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47#

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A neutral atom has an eldbn zo/qpna;; euu 11*zph/29-are mvectron configuration of $1s^22s^22p^63s^23p^2$. What is its atomic number?

A. 5

B. 11

C. 14

D. 20

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48#

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A neutral atom has an ej+ )znvo bd( hxtlg*yng056m5/1 hwlqlectron configuration 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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49#

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What is the electron configuration fosayj8qm8w l39r 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#

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High-energy photons are used to bombard an unknown metal. The stronpvy 2mq :(-i- opt;kymgest peak is found for X-rays with an energy of 66 keV. What is the atomic number of t ;vp:moyt(-- ik2qymp he metal?

A. 80

B. 81

C. 82

D. 83

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51#

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What is the shortest-wavelength X-r8 4zi5d(cg doqay photon emitted in an X-ray tube subject too5q( 4gz dd8ic 50 kV?

A. $0.025 \; nm$

B. $0.25 \; nm$

C. $2.5 \; nm$

D. none of the given answers

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52#

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In a ruby laser, an electron jumps from a highesezv swtzg30(qh:8)i-i (xyo r energy level to a lower one. If the energy difference between the two levels is 1.8 eV, wh 8zwxetyhi )s30-:((oqzg sivat is the wavelength of the emitted photon?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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