Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directly proportiotpatydj/za:6: ethg 0)j .pw 3ndt3jaw6 : yte 0p:htgza/p.j)al 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 Uncertaintyux6vf k 1bh,0mp*9bbv Principle.

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3#

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The reason the position of a particle cannot be specifiedtb*prx 5hn0l. p.26o.yxns q y with infinite precision is thebhoxls.r py6*ynn5q. p2tx .0

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 v:nniu.ca*k 4 particle increases, the accuracy in measuring its velocity will.vn:4 ua n*kci

A. increase.

B. decrease.

C. remain the same.

D. be uncertain.

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5#

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If the accuracy in measuringd) ekhnh.x/ 51t48 ) tcotz;u6kdis ep the velocity of a particle increases, the accuracy in measuring its positionidp ks xot.hehn)kdu 4z 185et )/;ct6 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 v;sf9c+e ule g+hzfz*)alue 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 integer6acm,o zn 8hxg(rs3x : 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 nvmoak aqd3u9:3j/t eybr14v.mnw( :vumber 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 can have any integer .:o+ usvtbn-v6pav*t 04cqgjvalue 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 values m0ghk,gqvh-. l2n d63u ;sjx jof

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 foo w+s :tiaj.jvj+fx2:llowing 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 follo4 o5;lnda4 tbajrg96zor :pl. wing 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 hydrogen hl- ; :0n9n3eaobdebbwas 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:h7n6 fptjs)w -qdl.z 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 u9 u4l o((wzxnhas 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 ..xqz,m1/8yplupx elx )ngo0zn qnf*+ *7wohquantum 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, wh 4zmn:ga5xy dp4wl43cen a photon is emitted or absorbed, transitions cany4a:wd x3p4 54czmnlg 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 electro0 ew -fsm,j4qvwtgh 1:ns in 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 exclusion principu, ou7p.(snwnjed cki..: e+fle.

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20#

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In terms of an atom's yr) f 3j: pzfti2s0fv)electron configuration, the letters K, L, M, and N refer t 3zr sfv)pyfi2f:)tj0 o

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 qc9*sq . q+ :ejo,pfdzelectrons 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 quantbns*ou u98dn)um 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 have completely filled sh*1ldc4hub0i r ells or subshell4*ircb 1 dhu0ls 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 2(oy0q ikz:cot(hg; c lack one electron from a filled shell are referred t 2kzt(iohqy0cc ( ;:ogo 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 per,6 e6k fam-,idtglv r,iodic table which have a single outer s electron are refe6grmekdt -f v,,a, i6lrred 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 acronymbf6lz4nkf)a * 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 anr qsk64eza:-tpcd4b 2 object and a piece dk4 ac z4 -2breqs6:ptof 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 wiid mfs/b2e15 n ify-,yth 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 within3 6q-ow91cagb i09kh, nbwhjh a space of about 0.110 nm. Ikhw1 3gq- 9bahhwn 0ijb 96oc,f 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 known 7,bc1 px3s4j+f.nsnxsr oz6 eto an accuracy of 1 p 7c ,s4e+o6sn srp.3bfxxjzn1art 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'sj6s*3i-uq2 t z2 tibpg b9na7f 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 thepon* jp5o8.clv x(:e9 0qvdqg speed known to within 0.100%. What is the minimuv l9g*e qvqo8 (.pp50x:cojdnm 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(agg: :tp3 kn+ij3 /imqyq4 ns of about 0.500 eV. What is the uncertpm g+33qkq njs nia: :gi(/4ytainty 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 region of width 0.16) 6t-,-fuuubx;nb(z hbmf-f fucc(l nm. What is an approximate expression for the least kinetic (b,b th-u f x6umub6;fn )fz ucfc(l--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 nuc u3ak+v 0. vkwfj:dmfiaa2.f7 leus 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 thelh1ihi :.b cdfk3 jwf92r 0p;e $6h$ 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 injpx. 5-g eawb 3lcfw o 9xs5f igt3v2,gve.c2* 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 titd9- cc wyl+bk yq*q18w.j w/he $6h$ 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 in7h* ez1wf5 yod 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. How t9dn0;zyt vs.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 man1nzw0 r v3tw0,gar5qey 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 electjf2 awj/ue4w1 f n-vls 7;kci,ron with n = 7 can exist in how many different quantum 4wvfne-isw 7j/u;lfja c21k,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 orbit. If one of the ele1 for,woej2-d))es) ddaao z6ctrons has quan)swd)f a,eao1 )6zrod e-o2jdtum 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*wsckyfqqqx(98y 00 zll 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 for k c3y3;wkf(oy9 s akkx105luoa $4f$ 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 electronf/1q)sq + fpc1d+5yhktulr1w 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 electr ijb6-fhm** mpjk(31 i2rj aikon 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 configur ze7c)s8a2xfall7 hxl6 8*pfhation 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 for Li which has three el(8 s3cbg4drp2p v2jag ectrons?

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 strvl*l g6bxp od0v/;b33wd tk4nkbf/ *rongest peak is found for X-rays with an energy of 66 keV. What is the atomic number of r0b*o/lx/; *w6t3d kbvbgkd 3pv4 nflthe 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-ray tg2fm 6o42f murube subject to 5246m2gmfrfuo 0 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 am 6/ 0prheaho 0zl9m/q e;fq9v higher energy level to a lower one. If the energy difference between the two levels is 1.8 eV, what is the wavelength of the emitted pom0eh v el q/z99mhrf;q/ a06photon?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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