Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is direct+x1m;wvfs s4l h 4gd9tly proportionagtf9dv lm+hw44ssx ;1l 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 Uncertainty Principl zo7d-ui bmp:.e.

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3#

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The reason the position of a particle cannotys.q,8i mqg6,4 l2dzwt b v-vk be specified with infinite precision .kq8is m4,gd 2t wyqlvzbv,6-is 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 measuringpqmv z am* bv34l0 amp9z:aj;: the position of a particle increases, the accuracy in mp9zbvlz a;aqm* 4jvapm 3 ::m0easuring 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 measuri:2 dam 2xn9uj rwt*ka5ng the velocity of a particle increases, the accuracy iuwda 2n2tx5*km a9jr: n 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 value u nie;*opk4v1jzd4*jgy 8zx3 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 intege .x5;yxslb5xdo;4wa pr 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 rangi)vja: :uzht-g toou, fkx m;:(fx7b9 hng 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 rangijjfxx ai.f-os gn9k2e12 lhh2loc4+ u ao12h9ng 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 havl/1y 6p :t39de/hwpm omiab q1e 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 possible quantum r+ n av9nc3gowrx:33cnumber 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 magnel+ 05;yubvyg enlkzsw(qu-r;9bpy 3+tic 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 bo 0zl75ggbu qen+6.2//jk n jfcr-:ffrjy l9only 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 solutionswy, 9osx:)xkaqdjrcs(/o m.q 6vt3hn9 e* ;yt 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 solutionrgz:ps,gn luglj4(a3 t6k 5y.me b:y ;s 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, 2p f 58+kp:qanopcuw0the 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, when a photon is emitted or absorbed, 7q egy*gpd4m2 transitions can only occur between state with values of l thggdy*mp72q 4e at 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 atom isl o,mi8hvl3)qi8 yg *j 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 princibsp.ar j;j u8k* *jbr 9pnor;e;-k 8slple.

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20#

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In terms of an atom's electron configuratioca9,rt(vj +c g8nr-u hn, the letters K, L, M, and N refer to n a(r+ugcr,vtjc-98h

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 nijzo .3u5l ux f h5f43yio*ssvy))/qqumber of electrons 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 nuieca 1v9kn0j j f7y6(imbers 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 shells or sub-m 1g-dpl9jfrr 5t l1ashells are refm-1g9ar jfl1lp 5r-t derred 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 electron from a f ) 9o5 snadnwb/07ujcmm4e*omilled shell arebun7 ajm4mow ceo*9nds0m/ 5) referred 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 per5)3p oxpicux4pbxxv k- m8 /c ,ke.2vbsgyw33iodic table which have a single outer s electron are refex u5 px3 4xik-pv3 bbwm)ygcoks,/3 p8vx e2.crred 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 acrli( mv. icq;lavya3l4 3u)(yi0f if*sonym 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 and a piqsu)d+ eajk;7 +t)cgd ece of photog)du7 ed+tc j;+g)qka sraphic 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, it h/wb13v+u nbk1 t0uffproduces

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 hydrogma ( q+-m(qvv 6 l9blu0d1xnp+smn-ra en atom is confined to within a space of about 0.110 nm. If the electron mass uql bavpv6+ nl( +arqn m1s(md-xm0-9 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 travelin25;4hm0qvkb( ao hp qpg 2000 m/s is known to an accuracy of 1 part in ; 5p kqbh2ap mh(vq0o4$10^5$ (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 electv m2x) z56fmkkron'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 spynzl -x m8cf lf,n* r3p-w0gn,eed 45.0 m/s, with the speed known to within 0.100%. What is the minimum uncertainty in the position *-xf ,r ywz0c-gplmfl8n3, nnof 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 abougnnq3e 2a )s1t)j7sne t 0.500 eV. What is the uncert)123a7 ntj nq)nsesgeainty 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 widtigy:4 913z:9plik q ii +plgxsh 0.1 nm. What is an apprz9qiylp94+l sgi igp1x3: k:ioximate expression for the least 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 nucleus is about 3hn*a99ggoc/8z i8tgt m *ew m$5.0 \times 10^{-15} \; m$. 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 6mz :m-ogr3r(bl jgwd8 1j)kqthe $6h$ 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 7 2 tzu qqfo2,y/.iahvthe $6h$ 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 inkb0 4y-.ll grt 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 whzk(my k ze7u*+-)ddr r/ mm11m/ti othe $6h$ 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 eleqwa ars1-:ib ;ctron has n = 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 electron has l = 7. How many vag xo*9l*(rr9t a)nr9imds4 gm qn9o r6lues 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 witom4bk +x uu+9wh n = 7 can exist in how many different quantum stateskm4x+ ub+uw9 o?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium hqq-y;wbijg:7d n :l m-olding two electrons in orbit. If one of the electrons has quantum numbe7m ;q: jyg:wbin-qd -lrs ($n$, $l$, $m_l$, $m_s$) 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 isg 0gjbq,3og5as3c;p nto 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 1deopkea6 (/ra $4f$ 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 e (g7etskh1xo7w tt98; dxdo,wlectron 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 ankx3 ,x4g 38x m4pdextn ub2p3g electron 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 configura8lp sqard- *6ation 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 elecdy1bebg/ e w)6v il;,xtrons?

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 a+-+u;u-e cwjk,btzep igz8xb j1 c -;zre used to bombard an unknown metal. The strongest peak is found for X-rays with an energy of 66 keV. What is the atomic number of the metal?+- bu bei -z;8 +wx,ze;ck-p1ctuzg jj

A. 80

B. 81

C. 82

D. 83

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51#

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What is the shortest-wavelxkf j9ulc6pz5) r+(yk ength X-ray photon emitted in an X-ray tube subject to 50 kV?5ur6f+xpk9 lcky zj()

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 a higher energy level to a lx83i 6m c j0e;z4iytrgower one. If the energy difference i4ze6x; i mr03y8tjcgbetween 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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