Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron i31q ff0fbv hs:n a hydrogen atom is directly proportional thfb3 0v:sqff1o 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 Unce owj/f+75ex (sgjrr i3rtainty Principle.

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3#

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The reason the position of a particle*6q34rmd f s90z zo/ nced7gbv cannot be specified with infinite precision is90 bq4dg n6rc3o/vdm fe7z*sz 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 u 5gawe .f, wrnr7l2z)r-7msrparticle increases, the accuracy in measuring its velociefr)7-wgrl.7z 2u rsmr ,aw 5nty 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 a1)au46mhyh3y elsm (k particle increases, the accuracy in measuring its posi(3y1 l)e6has 4ymuh mktion 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 ofv: t -5wwgmm5q

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 into;)3e uorge:-lf chz1: a;afb eger 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 ranr,l k 52ny*keccd/e c6ging 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 in 3k*uysz: iw, y0qg85me u,zeyteger 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;6)guyp8,6vaz l jyvg 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 pc77iy3z .-zq( rxtnd 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 magnet/ eo u9fu.x;zirpm-pxg4yn. (ic 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 only if the three quantum num 3g6wrpq,a8m5e1cms hc f+y5xbers $n$, $l$, 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 quantu/zkdkogdbx9 : )p u4)dm 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 three quantum+j-ny 6lw2l.uu/ rqoe 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 (mt0/ +6flc.fa2 / tmvj/vvv ta$n$, $l$, $m_l$, $m_s$) 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 alzjqqo7*mx( w l* 48vjbsorbed, transitions cavxl* wjoz 4*8qj(7lm qn 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 neut uq*i mcikx 0n-y2h7p*ral 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 principl) 8 ael77yvjhhe.

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20#

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In terms of an atom's electron configuration, the letters K, L, M, and N refer t.usuhj zy19sn 3p)r2x2jex(r ezr(jsyj2 rn uhsp3x. xu9)21o

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 electrons thapnjc; nx,kq0*na63vjuvg) 0nt 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 tm* 3i+uaez 4mem/8r8oy3 wh i(5yunn5 m)bkwfhe $5f$ sub shell?

A. 2

B. 8

C. 10

D. 14

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23#

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The elements in the period;4sm)wj8tj9ag7/jz ogosxat* .n j1 eic table that have completely filled shells or subshells are referred tw47.a 9jjgg t8s)e *1xzamso j;/jn too 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 which lacknkrah6 je0tdd-r 8k. ( one electron from a filled shell are referrd er0hajt.k(8 r 6-dkned 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 single outer j.mv. jx hser;+l;tl64xgmuoc2 d ( z(s electron are referred 2 rz.lchxv6t;d s ;4(mouj +xem.gj l(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 acronyx pqs//k h9x/1mj2dm3/ na ozpm 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 addition5mt kj6v0 ht-zw/fy 7g s-a+rn to an object and a piece ofz fg7 skm0y-6awtjn+v 5 -r/ht 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 oeh5ii1 etx r/c0o;t2sf 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 o95j;588v avjecpxfsspyj ) y 8f about 0.110 nm.8pscx5ve fjy5j avy8p 8)9;js If 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 2000 m/s is ft g+0 lcjlc-nm zn15,.+y,kb)ebf g bknown to an accuracy of 1 pa jbe+0 ngbtf+c ml 1nl,g,z.5kby)c- frt 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 o p,/ni6unye 0:2bq yzx pm8s9electron'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 speed 45.0 m/s, with th3d ubt n1je1/le speed known to within 0.100%. What is the minimum uncertainty in the position of the btd /u3lbej11 naseball?

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 uncertainyw2c ;j1l kezh-f54ugty of about 0.500 eV. What is the uncertainty in the life-time of the level? fku2;wez l5cygh4-j 1

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 knownyan z-7wsj9-1 5 alywi to be confined to a region of width 0.1 nm. What is an apprjli w-y7a5aszw1 n-y9 oximate 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 isfiamd/mafp6hr s.4 l/j0 3 a4x 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 ul 4eopk7 z+6b$6h$ 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 theyz44p v uwcnb-dj3 ga5a)q2f7 $6h$ state. How many electrons are allowed in this state?

A. 22

B. 18

C. 14

D. 10

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38#

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

A hydrogen atom is in*b yy0 ha x d(4s;,.ej.gbhjqz 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 thoj 7o/wb tui gp9v-bnhx;)l i/.8j6aje $6h$ 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 tnb-7a-n63f di,yr cfvalues 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. Hn6*wt;a 9:tmbw rx) 3mgtq9ri ow 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 majp 07q7y skxh7*x)8itt/nk eis rv8v 2ny different quantum statns 8ikr8vstt /7y)*7i x27 kexjhv0q pes?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state h+zai wh;yc awo03ur;, elium holding two electrons in orbit. If one of the electrons ;3haay ; o,0r+uzcwwihas quantum 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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Mark Problem

44#

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How many electrons will fit into -uywbi15 -db9n j 8hdorh*:pea $4f$ 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 lwamh e hp/.a3gk3(b r) 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#

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A neutral atom has electron confir i; t*sa-eqw*guration $1s^22s^22p^63s^23p^2$. What element is this?

A. carbon

B. nitrogen

C. silicon

D. germanium

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Mark Problem

47#

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A neutral atom has an electron9 dst n;cnt+;u 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 electron*kuy /o27iftd 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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Mark Problem

49#

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

What is the electron configuratio1vn/byy5+nxqp 5 lsk1n for Li which has three electrons?

A. $1s^3$

B. $1s^12s^2$

C. $1s^22s^1$

D. $1s^21p^1$

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Mark Problem

50#

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High-energy photons are used 0. dnu0j6lcq n g aj-*dj6o*ktto bombard an unknown metal. The strongest peak is found for X-rays with an energy of 66 keV. What is the ako060-l6q djgn* ujtcan j.d *tomic 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 inw -t(e*+e 1wirew65ng3k v mln an X-ray tube subject to 5-5m wen(wl gw n1*erv 3ei6+tk0 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 electro+9u-0, sh3y f0kybq +w lmlixyn jumps from a higher energy level to a lower one. If the energy difference between the two levels is 1.8 eV, what is x -f l9q 0iy,30ywlkhum+ sb+ythe wavelength of the emitted photon?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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