Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atomr)jk; turs24 9g9jhp23)gfnc.tv auxa 6)ktq is directly proportional to its3k2 n )29r atx)gu. h;4tjc raup9fkqvt)sg6j

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 Prsui409 +k eehyinciple.

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3#

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The reason the positid86ane m/nsc0 on of a particle cannot be specified with infinite precision is thd/nma 6n8s ec0e

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 particla(9g+c vr7wll3h5 ijre increases, the accuracy in mei95l7r gcw (rjv+ lah3asuring 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 velo,:fc t2g1uc8q4za c kzcity of a particle increases, the accuracy in measuring its posiz,q:zf a1k2u8gccc4t tion 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.iw;mx qd(n g* value 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 any in ,,+sgynv/oayer lx.:qqxx9 .teger 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 h0*v niu2ncb9y is/r/oave 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 g/p)o-qk2 pxfnumber can 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 valuescv ua)e+jj/f7 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 quantum numba/4-mri eqg3 1e9 v6gzxw)dx v.ldv *xer 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 allowek i01.7/jtj5 *4(y z: o jq.dtdxelkitzuquf.d magnetic quantum number?

A. 0

B. 2

C. 4

D. 5

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13#

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The wave equation for hydrogen has solutions l/qh f;4pkod5only 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 soluti 9bexk 4+w3obo zcr6wo15vp;uons 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 hydov;ps k 8: rubj,qscg;b 2av-yd3hn89rogen has solutions only if 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 qvvnl6uh f ,5:in6x(i6cqe.j g4bn3sv uantum 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 emitteklwmz;e1/t, p4h3 ezzlz x68 kd or absorbed, transitions can only occur between state with valueshklz6w3tkme8z/,1 z ex ;l4 pz 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 ievz;d.+q2up:d2s cxm-fr. w qn a neutral 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 exclusiop zaz4(vv.gkg 2p l2:vn principle.

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20#

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In terms of an atom's elsq4uih t2ul, 2z:i+bb ectron configuration, the letters K, L, M, and N refer to zu2:i hius,4bb+q2lt

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 ofko*3z .l ,bc: ud*irge electrons 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 there in the eqj6u3 8s 8yyssp+9kh$5f$ 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 filled -ebp*y he06x 0 )srjjxshells or subshells are referred to as0rsejx*h -0epby) jx6

A. noble gases.

B. halogens.

C. alkali metals.

D. transition elements.

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24#

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The elements in the auw.v4r)u4s2sr 2qnhi e7f3aperiodic table which lack one electron from a filled shell are referra23qw4srrif va h.u7u42 ne )sed 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 singl(5loz- ; tyd)rug nsp1e outer s electron are referred to 5otz1 u-;l(dn )yrpsg 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 al0tz40, ac gly .h-p;zzzsop -cronym 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 h wwks(n-*x e6k1mbx p*ologram, one needs, in addition to an object and a piece of photkn-kb mxs**6( w1pxw eographic 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 ol+shwy 0dk2hrax ; ; yyf;n1u6f 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 izwp0j 29l)im 8 xuvey(s confined to within a space of about 0.110 nm. p jv9 w0y iezx2l(u)8mIf 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 200mre-a-adl /y1u40x6i rf 7g.u-r n2qxffz1 ao0 m/s is known to an accuracy of 1 paq7yaui g0-xn6r4ffz- fa.la2/-r 1rm u 1xe odrt 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 speeim 2daa jh49-lp)b/o p *:avnsd 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 speed 45.0 m/s, with the speed.g*po6 oc isbjwp6x::a)l2 m l known to within 0.100%. What is the minimum uncertainty in the pxwp6oll6sjp*gm o.i a2 :cb: )osition 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 elekda f0kuny mn782 2nh8*sfnj7bdeq (3ctron state has an uncertainty of about 0.500 eV. What is the uncertainan77kqu*f nf 22b(88 mds yj0dnnkeh 3ty in the life-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 re2tflaj,ia ueg5) s8h3 gion of width 0.1 nm. What is an approximate expression for the leasti,ah3)sfg8 52j aluet 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 typicai :+kcs9n2 jpqa)bg0b l nucleus 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 the rehybi.ax q v,- ak7 a6szi8/du2eq9 ($6h$ 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 thehvi.n v ,4fl;u $6h$ 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 i.5r/ a2jlazghp ead2zmy+5t: n 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 2zggw 8 ;gj0wathe $6h$ 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 6p4a6 rfa -fjfhave?

A. 6

B. 7

C. 15

D. 98

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41#

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In a hydrogen atom, e:s1;j *ldbhb a given 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 electropeol6f krk*vh5ptx5 :u*5 ; gmn with n = 7 can exist in how many different quantum su pl:ek 5h5*o6m;*5gvpt r fxktates?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holdt-9 1rwc(ivwn ing two electrons in orbit. If one of the electrons has quanturnc(w 9v iw-1tm numbers ($n$, $l$, $m_l$, $m_s$) 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 fit in m*g2k-oh n tv3o04lb+ni3vh sto 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 36wjnu (ggj.qa $4f$ 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 electron conqhkv;qf538 bffiguration $1s^22s^22p^63s^23p^2$. 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 electron configuration oqho m/beh6 ra c-)xz0+f $1s^22s^22p^63s^23p^2$. 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 electron configuration oz2i xf 9zu,h/ngj/qooc-;o 5if $1s^22s^22p^6$. 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 for Li whioz.:k: w hw1rkch 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 unknojv*tupt cwr6+c8m6 2 qwn metal. The strongest peak is found for X-rays with an energy of 66 keV. What is the atovmcr26 j tuc8+*6pq wtmic 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-ra* )m 2m4qb3r3p2n bhsm ld2xwky photon emitted in an X-ray tube subject todkx wm2 4 3ln rsm)qm2bphb*23 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 )6,7dzunq j*/ .vtfjd oxg 5brelectron jumps from a higher energy level to a lower one. If theu 6drxvtn qbj.*)/o j,7d5fzg energy difference between the two levels 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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