Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directly +j /i2ftfkh) )du .vjrproportion d fv)j)t/fuh .kri2j+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 Uncertamazhp r( v32nu6e 3uk-inty Principle.

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3#

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The reason the position of a particle cannot(m 36. 8dlofbmit2 0ks lirt+o be specified with infinite precision is 630smrt( il.ld 2o om+btkf8ithe

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 pa9ama( dsi 7rl n.v)0ktt z-6vjrticle increases, the accuracy in measd.z(ivttk0na-s 79vm )la6 rj uring 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 increases, the accuracy d**) muulnf6ugw +ey8hfx:9jin measuringhu6l* u8*yfj w+f e9ug:n) mdx 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 bo j9f(lr9;2 v s3rergp;,on gof

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 g )jvz ;r3ep aux*xu35number 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 integz mgl) nnt5b 0q8 old8y-,,zeker 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 i0het f. 5 ufp*j+truxjq7 *7uonteger 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 ca+ 0i.2j9z ex h7ahvpikke wi.2n 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 possibcj 7)lqmvy(b(le 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 aktga* + qw:bnbpc76+o n 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 has solutions only if the threw-q cz lmdw078e 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 quantum numbex2/i 3ozpmka 5rs $n$, $l$, 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 solutions only if the three quantum numbersb)at.q zh:mr: 7qz )wr $n$, $l$, 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 yn igp:ismgys581 7s2quantum 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 emittz8(p8+px5)tqeeilrmc) uq /wed or absorbed, transitions can on)+ex/q5m)(8u p lc tpirezw8qly 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 electrons in a neu(:dth6g6ml+ n u,v fq4/nqmketral 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 exclusio 1h o onse6ar)i6nh;8dn principle.

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20#

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In terms of an atom's electron configuration, the letters K, L, M, an cqufhcs trh3ip +0pr3365sr;d N refer tor;s5hc0t f uc3 33ih+s 6rpqpr

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 electron( yb5chodn c sfucm2t:kk gj0 d821s74s 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 e 0h +on;dy;bdnlectron 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 co)wklwg 27okh q38hv1zmpletely filled shells or subshells are re8hqv3khzkww 7) 2 g1loferred 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 6(ltcw z rew8-table which lack one electron from a filled shell arelr- (wwce z8t6 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 periodic table which have a single outer s electron are refei 9*,-l*l:x ny4 d r+uyfcwyqwrred to a l9 nxldr:*-+4uy ,yfwiw *cqys

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 ;4qmuz6 qee63pdxcua 2a /.nq 71djol acronym 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 piemq4ash-tbgm 6g0 j7.n nc 9uet36 fqz5ce ofan5-n9ggzcjm 6.h64 teb0q3tsqm u f7 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 with a beam of coherent light, t/ha(,l,i)cz vsio f1 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 a cdbkm.pli7 60 qi b):lusf;;ztom is confined to within a space of about 0.110 nm. If the electron0zu: l;6 ; .fmkiq) 7bidbslpc 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 to angm bvn d1t( ckda5uzm5w/8/,l/ p) emw accuracy /emn5dt z5 g am/,/b)clwdpm v1k u(8wof 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 speed( e:dw /ykb:wo 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 o-ebzedgb.f m:mjng.p n 3)049h y*rwg and speed 45.0 m/s, with the speed known to within 0.100%. What is the minimum uncertainty in the position of *hbgn 4 re.b:.zm)eop9mjf gwyn0- 3dthe 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 abou w(;lbw uic+uqn)gg2jtkipe1xyb, -g9 j6o/- t 0.500 eV. What is the uncertainty in the life-time of the level?g/6o +u 1ilggn2eyqw cjb ,x(- )up;9-ijktwb

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. Whatqn -0 mh4uy)mvhr-zq+ is an approximate expression for the least k nz4uy)mhvm q-0-r+hq inetic 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 iseef )mcgdl /m0e:3c:8)bfph s 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 t; . voxwsaj 9glywv43m, v65hyhe $6h$ 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 throxs ojp , yzd)vv*k2s(.mky8 i.b*a 9e $6h$ 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 * j(b;ltzel nbwu8h+lym7 60rthe $6h$ 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 thyhkj ,f3k1 j;oj+/jkpe $6h$ 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 g21uj cdo;by hlsv*.y 4iven electron 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 = l.7t1x4 gko61bub ri s7. 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 ex.yp5m ;aq6k 4bbdu k5pist in how many different quantum stpqa4k6 dupb 5kmb.; y5ates?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holding two elec8a: zcuc9pv fmw8n tc,y kl1s/d3d8g4trons in orbit. If one of the electrons has quantw8y9:, d8cv 8pgd/z lc3ck4ms1nfautum 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 will fit into awr8 * nhb3hz:y $4f$ sub shell?

A. 3

B. 4

C. 7

D. 14

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45#

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The values of n and z2 uz.lsh 4w i87cluw0l 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 electron configuratiohyhedi8imthmom (82.x 20k p7n $1s^22s^22p^63s^23p^2$. 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 electrg 1, /limbg-ry.c8;z6fsdmg)kf csr(2wztu8 on 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 configul*brd h8pr wa-9(qi(kration 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 thre7n1--cac850qrcesdo g sfsp- e 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 us kigz+f +vbdr5 c76)tsed to bombard an unknown metal. The strongest peak is found for X-rays with an energy of 66 keV. What+ 6+dr5c)k bzsfvi7tg 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 shortest-wavelength X-ray photon emitted in an X-ray tfs o5;s d.dwi s9kt*/.cs;efe ube subject to9sw *iofe/.dsef sk;tcds;5. 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#

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In a ruby laser, an electron jumps from a highedwde c.zt;k 8-t2jp w+r energy level to a lower one. If the energy difference between the two levels is 1.8 eV, what dw2 zjw8+d -;et ck.ptis the wavelength of the emitted photon?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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