Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of fin*1* ge 5sackwgding an electron in a hydrogen atom is directly proportional es5*kwg *ca g1to 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 Ubteq21x ogg *hw8r/y wap /b3-ncertainty Principle.

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3#

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The reason the position of a particle cannot be specified with inf1bw;z,vk:i0xyb( p rainite precision is :(b0;x bw,pyvkrai1 z 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 positioowgw(9ey49r nl6y d*vn of a particle increases, the accuracy in meyyl6ore 9n(94vwwd *gasuring 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 inwi)wa ojz j7,/(hjfb/creases, the accuracy in measuring its position wilb /)jjjwo fh,aw z(/7il

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 of,n :shds4 cn8e

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 havvaea1xim tn,;;g;2 3bjs7v 7lc co pf8e 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-mi5j4qvyv x 4lo 8d+u 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 valueuf*l:w2 q-+8tjz yt na 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 ckla fj,f o 0vp;z)5s2yimv1m0ei .vp. an 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 possqpvs hk85n7, y .7gqa1c6cls* )rou3ot1rosmible 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 magnese9e1li-y(. i.j b yi( smxy;hdk1mk5tic 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 g +dqxnvff4 0xy/g ,+okwu-e3three 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 -rx)ol5 / 5:;yde6nfecnezq (c 5xvaysolutions 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 f r9( 8hhe iy+c04tzugvb w5/qhydrogen 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 quantu)k/r j/tji6 oox)d8 ln (arl0oqp91 zym 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 emittd ,l )0p;ll5k.q czzcn eufu1-ed or absorbed, transitions can only of;nuq, ) 0ccl zp-1u.dlzek 5lccur 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 l4n:0tbims/in9s4ykv,7u t xa 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 exclusionqe v/b wyes m(..:+ljuvd;n n9 principle.

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20#

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In terms of an atom's elec :ws*a*8nf3bi c x9pgvtron configuration, the letters K, L, M, and N refer t9nigx* 3:8vbw*c fpa so

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 t5lp3xnne o ;r)he $g$ 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 thzu du4+dbx6j(t-pe 7ye $5f$ sub shell?

A. 2

B. 8

C. 10

D. 14

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23#

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The elements in the pe;oe / ,5 ezof)gqzxs.hriodic table that have completely filled shells or subshel5)xfz ,so/oz ;e gqeh.ls 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 w( s*3;jbz7z jq lgl8tehich lack one electron from a filled shell are referred *jlbjse(7; z3 gq8tzlto 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-p)fpuf0r -drgo;ue.0 ngx- w table which have a single outer s electron are referred t0fr. -n0rugp)x;-pu- ofed gw o 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 acron, f n6(k ark06h;9fxga-lb sraym 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 an object an0;aeb .ypk.nsd a piece of p;e p.b k0yans.hotographic 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 m772ka,q cnm;xr ;wrf 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 hydrogm9e gw8;f,gl9qmedo h6)/ h* ct xtmb9en atom is confined to within a space of about 0.110 nm. If the elexm 9d t)met ,9c8o9gel 6q b*m/hghf;wctron 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 tof bxoii*ut*rr 441lj5 an accuracy of 1 part inlx4rout1b4** ifj 5 ir $10^5$ (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'q- y /iio)arl: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 spe+c .kg 6/w*a)3ufhe wlssj lx3ed 45.0 m/s, with the speed known to within 0.1*lh+3fj u /3 clgs) as.we6xwk00%. What is the minimum 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 of about 0.500yu 4p.0sk9 mue95xp- 7aeiq(l i7wnwo eV. What is the uncertainty in thm-ip (aeous iwwy9q795 n.kue740 lpxe 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 puvf-oj.0sby84 ellkn14j ql-3wa 3 bof width 0.1 nm. What is an approximate expression for the least kinetic energy it could have, inn jv4o0eq-uk -s bawp.l1f3yll4b83j 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 typi;x zjs gb5*.lr +ju1gt 6y x*(t3uzstmcal nucleus 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 thec wfevom j)p/i 6/m7o/ $6h$ 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 tht3h j-ql1q dw 8kob-(6vz:oc oe $6h$ 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 z8 xol( nv6,ql$6h$ 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 incop lmp):f 5e9 /7l-/beofeinn;s,qq 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 lt*x6pp ju5ee(*ek( p. 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 elec s/o:-rygt -rvtron 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 different quam-/ ab66yxcefntufby/c6 xem6a-m 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 in9; b cyrukepg;b /2sx m7fx9zf5t sp:9 orbit. If one of the electroxyef9 pf 92m z7sbgxsk5/;tbupr c9 ;:ns has 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 wile ur84b4drh80 ukp+idl 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 fo(,cl c+ysowtet*+ x+pr 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 coa 0;0h 8aous+ lsgeqp(nfiguration $1s^22s^22p^63s^23p^2$. 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 electron c2k ,tn1e oum(b j: cqyr6q/.xgonfiguration 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 electrondmk49b4n6 amm 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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49#

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

What is the electron cy0g14 8wzn14f4co*hq cwol dyonfiguration 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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50#

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

High-energy photons are used to bombard9fh +* dtp7be. re5*/iua af r4ci9dpt an unknown metal. The strongest peak is fo e. ir +*udpfhf5* id4at9r7pt/ba9ecund for 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 shortestd5+ 7-e8znykv f -q)egti j6ie-wavelength X-ray photon emitted in an X-ray tube subject to) tg - vdf6z+kqnij 75e-yee8i 50 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 elehn67xa +juhs-v3z t0 mqn n*k5ctron jumps from a higher energy level to a lower one. If the exn3hmq-hkt5 z j+ *vusn0n67anergy 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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