Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directly proportih)()tf::i zn mho r7jkonal to :fnhzmh j))(7kt:oriits

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 Uncj+e y/g3blxa)ertainty Principle.

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3#

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The reason the position of a particle cannob//m+umaow u1p5hj 9w2 x) pwjw(7vu/kk :dpot be specified with infinite precision ihkd59 w27ww/ w) o( b px j1oujpmu:vau+pmk//s 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 particle increases, the accurav.yjh oqs:o7j 0vn :crnt-4 -ycy in measuring ivnr- -oyvohq j0.y ts: 7cnj4:ts 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 vm19 i6 ,t(d2wprc5lwm)fs sdu9lumf 1wi 1so- elocity of a particle increases, the accuracy in measuring its positionm192 ui( d-m r6sfpsdlmc w5 t1sui9ofw1,wl) 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 anf0kxj9s n qmka8;t.)( wj5ap 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 integer value rx*n0qh(1l t fkanging 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 inte-;wk n3emitv,ger 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 can have any in0 vj4xp*g *8rj .eiib8zhoy6x teger 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 havewem: tx:fr. g sl 7:nuy.n.jj9 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 quantum number for nc 1r-c,f/aa(dz wvbr(?

A. 0

B. 2

C. 4

D. 8

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12#

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If n = 5, which one of the fk,4iqm5nnn(l-t .y jnollowing is not an allowed magnetic quantum number?

A. 0

B. 2

C. 4

D. 5

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13#

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The wave equation for hv,ne zcw yd1vp,u++d f0sy*7gc/ef2 oydrogen 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 solutions only if the three quant93-tb6 hh6b pibcy .ltum 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 the t5py 18kpzdtn9 hree 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, th)4vbg6 a9b61k vu qdvhe quantum 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 or absorbed, transitio5+2deiflc)da.dftp;jzg+h so:,e lj37 l3 vcns can only occur between state with values of l that dih fvf)l5 z27eloc ij+,da.3e lsg3:dtp+j;dc ffer 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 l;p)6hluogn qa (0ex.4-dheor -v1ru 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 exclukcw +v8+f ngu6sion principle.

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20#

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In terms of an atom's electron configuration, +5s h/jkrd/2a.rg vi ithe letters K, L, M, and N refer t/ir k2.jash5dg+ ir/vo

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 7,kn71gnc6x rm ;yizj0 pnyt*of 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 setxp5mhnll rz; 46kd, 0ds of quantum numbers 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 4z s-n (zuwxx,d0z x3hhave completely filled shells or subshells are referred to a0x w (-u4nzhz3zxsxd, s

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 which lack one electron from aas1h 80m/tuf;aark k el:)c9x filled shell arck r fk;:/ h9 lms0aeu8ta)x1ae 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 periqi ;y6wn-2miuey4*c7vqj ;c5 f5doaiodic table which have a single outer s electron are referred to asvec q5o;-2i*7dnfy5qa jm4 ii6;wyuc

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 acronym)nx2j xx6 +ipxzh1 jjcs8o. 4l 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 (nmz i;k/fy 0pto an object and a piece of photograph/0p ;zi ky(nmfic 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 illum; /t+()g ogbs8ti rlqtinated 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 confined to within a space of abou;w o*3zpo/ i.pufs jsp0l(3rr t 0.110 nm. If t3r/;l wpp.*sfpr ( 30su oizojhe 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 yy a2 9v, v;eh9pac45e6ozf.yytbng+ traveling 2000 m/s is known to an accuracy of 1 ,+y5 bhv fan9p.e9ca2v4y;6eo gyyzt 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 speef8p da q22v;f20mo ) krchi2urn fou6)d 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 xnq+ b(/h;cy/ vz ( xx.ikg1geknown to within 0.100%. What is the minimum uncertaintyg(;nx/x cz /y1qkg+b .eih(v x 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 au5mpcivh j+25ijvbm1 4k ;c.xbout 0.500 eV. What is the uncertainty in the lihuvp2jvi kx1c+;m.5ibj4m5 c fe-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 tej ++w1 :jhqo c4yi.feo be confined to a region of width 0.1 nm. What is an approximate expression for the least kineihe+j wc 1.:+4qeyofjtic 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 nucleuea-gif7oamtqni sg * 8f /2,s8s 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 thefx:la7 c t1motg7/ee5 $6h$ 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 inty: e m43j3h-k5dm*j5g0y bguv(a gd g the $6h$ 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 +m59ox 5c ameb$6h$ 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/ p ,te;jtz8yrx2d.spwa+i p1 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 = 7. hoez)7 l7 (mb,hlml8yHow 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 e;t8kq:ca 8 6de3bdzf 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 io2sl r63t5l 8kgbi1p . bn2fsvn how many different quantu .bsri5llo8bg tfn2p3v 162skm 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 in orpl ;(t 76xabafbit. If one of the electrons has quantuala(x 6f;b7 ptm 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#

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

How many electrons will ato ye/rhx41nudur7l* 3 6-pf fit 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 fz1*e2p97lbm58m, y e bxepn,b oj.gp tor 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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46#

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

A neutral atom has electron confi xb - f p 4q2aev;s4wvet7*xyge5tt1rev g((o2guration $1s^22s^22p^63s^23p^2$. What element is this?

A. carbon

B. nitrogen

C. silicon

D. germanium

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47#

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

A neutral atom has an electron configuration ofia3w bcobe s(72b jp52 $1s^22s^22p^63s^23p^2$. What is its atomic number?

A. 5

B. 11

C. 14

D. 20

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48#

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

A neutral atom has an electron configuration fm1y8:itu z h: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#

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

What is the electron configuration for Li which has thrap yowgcxmy+1x/47xf *7 mv+p ee 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 strongbye6lz : xwg w91s6i*xest peak is found for X-raygb*zy6s16l ie ww9:xxs 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 pho6cv uobq0+z2aton emitted in an X-ray tube subject to 50bv c+aqz 0uo62 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 electron jumps from a higher energyf9 w ,2cvcq5ti level to a lower one. Iw c,vi5 t29cfqf the 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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