Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directly proportion (o.9*vgh sggl.eka4:eyncj8 al to itkgj8 s.nhoc:legg4y(9.a *evs

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 Principb 09+c*mviaj cle.

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3#

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The reason the position of a kf/lsyll m 2 24d3bci6particle cannot be specified with infinite precision is dlc /lb226fkl 34syim 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 measdvod5 v1mosh, b9x/7g uring the position of a particle increases, the accuracy in measuring its velocity willg1sd ,xb/d9hom 7ov v5

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 accuracy w 3kuo zn-kc-;in measuring its pku;- kocn-z 3wosition 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"m-h5w4gu *t6lhmbutx fr -m04 has 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 cae o pk82t-8ho4vx r(byn 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 integer upop w-7bbc,. 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 havepge2um od:q--dg3zn 9 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 hn)+ qo).tqk/uzzx 5 m3f oa:wlave 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 th e1b6m mcwo96bwl,z 1fe following 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 following is not an allowed magnetic qual uya -wvas)(2ow ))m0zcl t9;3,fl6 mz fjcsmntum number?

A. 0

B. 2

C. 4

D. 5

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13#

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The wave equation for hydrogen ol 7ubw l7o9ujs,ubz i1-g(;x 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 quant w7 )lctft-he5um 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 hydroge1yxk)tjc ep+ rb.;rw9n 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 quantum num; ,xzjkcx0, su 1acv3ybers ($n$, $l$, $m_l$, $m_s$) 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, transir*ii9wvb; n 1u,)tsery 5nc3)dayfz 5tions can only occur between state with values of lwd5uzv* sb)ec ii ;r)3fy9r5nn ,1 yat 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 electronnslzoippi.7za7c .8 lj u*+7k s 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 exclusioi ukxav8 r;vxn7ve1: 1pa z0q7c y+c,vn principle.

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20#

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In terms of an atom's electron configuration, thz+m0x2n a ec9dy8tb6jn4 c)nqe letters K, L, M, and N refer to4n6 c8n )nyz+jx9e0aqbm2 tdc

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 electronso;a+a+po .n vf 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- .cxkpdq i.y3dzc() e 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 6nildpzlvnui b,p / *mb, 1at 9/jc mw4w.s)e2filled shells or subshells are referred to az cnlum1 .,* wn6t2ma)sv9//bpid,jeip w4lbs

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 electr6ss9 il0 jc3aron from a filled shell are rs9 cr6a0j 3ilseferred 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 s el low/8zlj,ls2a;-s02jqioax ectron are referred to aaalj ij qs; -o8 2,s0zlw2x/ols

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 acr/b;q24pw imvbonym 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, inbzs hfh8*(mp1ci, jl9f9 u+n b addition to an object and a piece of photogrinfml8c*9 s+(buzhbh1 pjf9 ,aphic 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 of coherent light, ip:pfcaa 6wxm 4j9x-y8t 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 ao +sza3 sg2,, s lluf9hdp4mr;bout 0.110 nm.3,9s ,glmhrozs4; d fl +a2ups 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 20cw4fj ahvkgb6ngkpid1 . 1nbh9e*6. ; 00 m/s is known to an accuracy of 1 part j 1.*.pkve;g6wfdhb64ci hk9 g nb1n ain $10^5$ (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 spemve zhe . .ijvj*o)-5ged 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/sa1: n4 vh fa90z,gsdev, with the speed known to within 0.100%. What is the minimum uncertainty in the positionsavf1ag0:9 d4ven,h z 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 about 0.500 6 wq.0r94i7zj n hj0fmtbvak. eV. What is the uncertainty in the life-time t6rja4w n qm00bv.zjf .ik79hof 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 0.1 nm. What is apu+k8pr vtr t8+by9e0 n approximate expression for the least kinetic energvp buypt0t+rke9 88r+ y 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 ab7f)a/hg h.wex out $5.0 \times 10^{-15} \; m$. 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#

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

A hydrogen atom is in the t z)lke(0xl16dg5:r8aerpet $6h$ 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 the9f.r3e qdns ewei174d $6h$ 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 two1sv2l/l t8 zhe $6h$ 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 the vori1g * /i w)i/,wtlt$6h$ 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 s 2mg 05uiji3x iq6o.gn = 7. How 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 electfy50bc852a zn ndcj,qkr y .h/ron 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 in5ppp,da i:)kov h) 5kl how many different quant i5 a:p),kkhpp )lv5doum 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 ele5 1qkl-g(h1zp3l mfbx ctrons hasmllq 5gph kb3 -(zf1x1 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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44#

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How many electrons wiz amnx7m+g1h pk2;tf z3m:.epll 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 f7 o3 1hc14svuwoxob (zx2gw ;oor 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 configuration vidn+3*qive94;j;;xjn)j1gpr e qpc $1s^22s^22p^63s^23p^2$. 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 electr0otvby)vq4and- 6 vu 3on 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 cdx-l qxh75on8onfiguration 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 hafa5+qmpt,t xk, c4w-t s 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. The strongestzga cfje;tg00m/7*acn i l.5a peak is found for X-rays with an energy of 66 keV. What is the atomic number of;fg5lga*m/atjz70ani .cc 0e 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 2:r.0z(j;nl ;ixjqr5 -1q/jivsme0 e h ozusfemitted in an X-ray tube subject to 50/mqxe0vrs;ql 5i0 2h ze1 o;nj.r:jsf -jz ui( 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 ec4r/x.j x 7higlectron jumps from a higher energy level to a lower one. If the ene7ig.rj 4/h xcxrgy 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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