Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directljlj-8tn )-0oue ks9 fnotj;l 5y proportional to itjku5el 9 njol08)- jsn-t of;ts

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 Uncertainltw.p5a1 dsp11.k k iaty Principle.

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3#

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The reason the position of a partivqxhm7u/ )wlsr/,el to 0:a 2ocle cannot be specified with infinite precision is smv/l h/ oq7,ux:l0at) e2o rwthe

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 accuracy o u9/hm gdbe y5.i)bl9in measurinb/ e9y.mdubig9 5 )lhog 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 ajfw3yr)ish ye ;w pgr1g28x92 ccuracy in measuring its positioej3gw2f9ir 2g)r18 ;w s hyxpyn 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" hay.n uvym):v 4st: c3cas a 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 cao9.n mw ymal-iu58-a-ckp9ivn have any 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 wm4d uz.hh7+:e 7edti- wb)34ojb xzv 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 can have7aqj/9n 4 x6owonhe i+ 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 hz/0+,d/a(x b gtfldefn kc )ggv(0s8pave 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 poac:k 5o /6eh(pc-yer r/ hxg,jssible 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 all+.7ph tk3jmq lowed 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 only if the 5* bvw; v/1n92q fv0+qjt juecrec.wr7(wsjjthree 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 fonkx1 9z cbulm- cjs)sm2 u/n-atc *2(er hydrogen 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 the three quantum numbedh 211d tf:c7pvii:pb/ w ;gbzrs $n$, $l$, 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 g/jzv n4 g8xjbx:o2j981obse 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, whg/ cx p /)qods/vb 9),byb+gnken a photon is emitted or absorbed, transitio,b9/ /s)dgqk gvno x bc/b)yp+ns can 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 neutral ats tb c7,bgz8oep9vb )+om 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 principle.5x q.vdg7e7h :hugpg(

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20#

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In terms of an atom's eldv9( 7 erf2k e/lut3xiectron configuration, the letters K, L, M, and N refer txeke3/til (9v rdfu27o

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 that can occupy jqe ed0-yn.b91cu( octhe $g$ 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 thenqpa u((eb4:hgrrr0qs.)/b +nah g8b $5f$ sub shell?

A. 2

B. 8

C. 10

D. 14

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23#

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The elements in the perio/e x.ze8nem3gm7zpo 82f7 ,2gehhw f odic table that have completely filled shells or subshells of 8gg 8f27wnzo 3,zeh.2hem p 7mexe/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 which lack o *s bxi + z3q)co9v3icx.-imx3b6 zyppne electron from a filled shell are rei63cy+psbz)bmc3 ii-p o9q x3vxz. *xferred 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 per6txju )*3m*xm kt/mxx iodic table which have a single outer s electron are referrtx3/*u6j *mxmkx )mx ted 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 acrs tvvs(m9 (og4onym 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 holg:nusvx 5;s/q l 0g4rnjkh+y9ogram, one needs, in addition to an object and a piece of photogra4u yxsj/ n sq+nr0v9gl;k g:h5phic 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 xrmlzijf9ww88x*o) hc +s97d0w ii,sa 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 wib bdgpj+/uo:*a 2n v/04b-u xfl3wpzothin a space of about 0.110 nm. If the bf0op j-2buab nu+*d3vg/poz4l/: wxelectron 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 known tom:--b9k cbkmr n m6qlh3, bt.p an accuracy of 1 p tpnmr:9b-m,c6-kb hqm lbk.3art 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 electro0iism9r v kq//n'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 sfj9 b-ws5r (ltpeed 45.0 m/s, with the speed known to within 0.100%. What is the minimum uncertainty in 5bft( 9jw-srlthe 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 uncertain 9xl hjb0ka*y/ty of about 0.500 eV. What is th h xy0jkbl/a9*e uncertainty 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 )s7ozt5vvjla19 h.r3eje 7 ocregion of width 0.1 nm. What is an approximate expression for the least z)aso31vcej rvlj.ht 7o57e9kinetic 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 is aboutm4ctlp9qj dd33r x5q9 $5.0 \times 10^{-15} \; m$. 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 i (a;goz)5 iy6rhsx gu(n the $6h$ 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;9xu(3),f-c jj.m/ultj;bnt jnz1r co7 wml r 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 l zpz7e6cf-391kibnx 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 theae *ye)47onanrais ;ej(/ )oa $6h$ 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 b jidlp77ydi4mv: i+32 1pdshcan 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 oc;9zt .ve.6mp;3 bd a8s*ludvmc,bslectron 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 diq :hh0n s 3 ck(e+q(mmuzl3np7fferent quantum stpqk(c(:zesh7+nn3 3u0mqhlm ates?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holhd -tjlx(s7nt y cg-2,ding two electrons in orbit. If one of the electrons has q2,(jtldcy- xs7-t g hnuantum 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 wi),anbob (y:gj ll 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 lr bxij6lu j7u)( i(a os)dus27 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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46#

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A neutral atom has electron configuypm7 i* mz;cwzje 3hukk: (lp8b yn:5*)as 3xaration $1s^22s^22p^63s^23p^2$. 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 elexhk18.j rul6y7e+w a gctron 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 configuration gz78cug a-rdm /c( 2xxof $1s^22s^22p^6$. 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 which )/4hk gs2ncf- jhtii) 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. They rrq16-l pqt8 strongest peak is found foly-qr 6 rpt1q8r X-rays 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-rayq**q+zq i3m (gop(j.weeb uh8 tube subject to 50 kV?p (mb q.u 3h8ow*qge q+zj(*ei

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 jum 1 -.w21 7ca+ k6vofczygdahchps from a higher energy level to a lower one. If the energy difference betweenh fk6y h1 2 .-ad1g7avczcowc+ 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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