Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of findftj f/-oj+fpy9 to3 -king an electron in a hydrogen atom is directly proportional totfyo/t 9-jjf+f3ko -p 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 Uncertainty Principlwy) -wc -eq 3ozoam*d5e.

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3#

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The reason the posititpn;9lu: a:ff on of a particle cannot be specified with infinite precision is t:ua;9n: tlf fphe

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, cm djstt3-+7 clc 0(lxthe accuracy in measuring itsj 0 -c+t7tc3cl sx(lmd 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 av)li3:o d(ouhc/wg 3fccuracy fd iuv()olc h:/33ogwin measuring its position 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 valuewb1n4mz qvd7 * 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 n1 k/4 hp getg8xq:+ ;d;zt/gtvka a3ffumber can 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 value cbh0 ts+n*p4lffiu4q. v.aq 8ranging 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 value i: h.r3anox4k68b gmfe zrsqf *1 *6jdranging 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 hff6 lqdhfe 5we-3 8adz(e:tj,ave 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 l9rwl un1jabt9 7d l8 ,s 2db-hz+iud;the 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 allowe6i631lsl6b jmz6fqzy -vkv4td 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 n9 s+ j0mp+xdhonly 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 hsy: b m*es+hx*as 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 h*4nn a n00yi kkdiqr,(ydrogen 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 ; gg -9/o6dwk- soknganumbers ($n$, $l$, $m_l$, $m_s$) 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, whvo/kf -v(s2 s,t4ozryen a photon is emitted or absorbed, transitions can only occur between statz/4ov-tkr (ssv2o f,y e 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 6 zvv2-u 2lh.vw i1ggoatom 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 k:gjqy: vx.p7 qt l,/vx,aje-principle.

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20#

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In terms of an atom's electron configuration, the letter2wlhq /* lh9y,jfwwb,s K, L, M, and N refer tq2ljl*,/yfwhb9 ,w wh 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 electrons that can occupy t(,/m.*suuf zb5bo kwbhe $g$ 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 t4*g.r xakj cxp2r(3 gfhe $5f$ sub shell?

A. 2

B. 8

C. 10

D. 14

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23#

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The elements in the per- 4zzsy1fl;x1y 8jd wfze;c;n2z jsl9iodic table that have completely filled shells or subshells are referred1j 4fz8z9xlyy j s1sfzwn l;-;z;cd e2 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 one elecoq m4z;t8p/3 wh qku1ytron from a filled shell are referred t my 3zkhowuq/8;qt1p4o 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 periodicmd q3g+ +fil;o table which have a single outer s electron are referredi;lqg +dom 3f+ 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 acro*ej s).q6g -31ny3cfooz j lvwnym 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 hologr,xwya gfnl j-s+,m36gam, one needs, in addition to an object and a piece of photographic filmn3x f g+6g,mwj ,-lsay,

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 coherenpi46npydxyzszd/(mc190x d;pjo ,+ a t 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 x k+fscuh1( o8a space of about 0.110 nm. If the electron +coh( kxs81ufmass 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 knovs u18 bgci87kwn to an accuracy of8 ckb i187svug 1 part 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's lh5ge 7vz8(w hspeed 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 +3olkgjn65dg0y wcu+4acn7r fp( m5bspeed 45.0 m/s, with the speed known to within 0.100%. What is the minimum uncertainty in the pfpc5j6 lm4 +ab+03kgdur n wy7c gn(5oosition 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 eV. What is dsfbd*h *.w7s the uncertainty in the lif s*dfbhs7dw*.e-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 / l-e7q h 1*tzbm0 ntip1vq5upwidth 0.1 nm. What is an approximate expression for the leasu510/ptnebzp 7h* l1 mqiq- tvt 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 v+yuc6( -68:hfrut bxfq)bkx 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 icz+gx- 1y7rd,bghlw k2g+(g3ro l8 qthe $6h$ 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 thmjbm73 x bp/p/ w8i)rde $6h$ 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 ivr 4l 4rc m13 mccxe9fti-e:7gn 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 thep**jid6 ox/bz $6h$ 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 many5edr:pvucxqu c*08vb:( i ft,wi gd+7 values can l have?

A. 6

B. 7

C. 15

D. 98

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41#

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

In a hydrogen atom, a given electron has l = 7. How maopum 9fo7 q 5uek4)q5tny 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, aa g wo7974d-bx5hthnd4 tj)b dn electron with n = 7 can exist in how many different quantum s-h54htwgb 74x9j )dadbo7 n dttates?

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 o0z1hu,m 5 +akaaz8ohvrbit. If one of the electrons has quantum numberz k5+18h0 aavo, mzauhs ($n$, $l$, $m_l$, $m_s$) 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 will fit into dl(a;8x ay2m ra $4f$ sub shell?

A. 3

B. 4

C. 7

D. 14

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45#

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The values of n and /4 bcyiv 8512eo wu0ar:fdahll 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 ele ; sm2rt(mm:2tifzio,)0ogxc4om 2amctron 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)uad fpm)k40, r8n m w8qcp2pe+fxs4son 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 e*a.xzbsm5via*q 6l ;electron 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 configurativ;) 2oiix1y ph7.ute)k rwrf 7on 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#

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High-energy photons are used to bombard an unknown metal. The strongest old 2 :b6lg go,:o7q;n b:qgqrls1 a*jpeak is found for X-rays with an energy of 66 keV. What is the atomic number ofdg aq2s;l*go:b 6::,qb r7 oo lgq1jnl 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 photwsll91x1 )zdex-cd 3zo 7g- gqon emitted in an X-ray tube subject to 50 lq xcgdg z13d l--x 719es)ozwkV?

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 electron jumps from a higher energlqd48qlb9bgfg + n(5yy level to a lower one. If the energy difference between the two levels is 1.8 eV, what is the bq bg4d9 5n+g lq8(lfywavelength of the emitted photon?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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