Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directly propor tk qy/8pe3;emzcwn2 .tional t3pqwc/8zey. t2nme k;o 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 Uncertaintyn/3. ll jqm;ya Principle.

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3#

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The reason the position of a particle cannot be specified with infinitj59 ;q0kt)z r2dvzznf e precision kqtf95v )dz;jz02nzr 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 measuring the position of a particle increasexv 4ow)(/ 9ex 42plbsybsq ab+s, the accuracy in measuring its velocity 4wx p94y+(2eob / ssbv)b xlaqwill

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 pa9c xx)8+ -aghqiat7f)bmrs t.rticle increases, the accuracy in measuring its position wsa7t )i)h+tm9-. xcqbr 8gax fill

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 vad03 -tgldimya w,u 2(olue 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 integer value rsklvi a0):. ni; d)p7 ydy)awdanging 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 ranging fro9r t(w/z) tpdbm

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 ranging fno1-sny6a ym (rom

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 numbern pl: 9ytm0f6;r6:wm gx.jz et can 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 posseo- f jbts/vcy nwc+vqp).e4f8.tk:1ible 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 follox cobutp f)k3ed68l;/wing is not an 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 8g llq)7 5att;xw0nwq 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 tjf;np3/n, ulpx84kq ehe 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 h4 a,l0 wqol0hjydrogen 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 numb-tu ertwx 6+hh5j5.o9je-cs vers ($n$, $l$, $m_l$, $m_s$) 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, transi ed8 : hg-cqw7gwjkbz77irw 3(+/yyjc tions can only/8wz:gdj yib7h3q7j w( crwkec7y+g- 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 neutral atom is called itlam ,,c.h;nzk blg9 vz,qf95 ps

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 exclus+c 5pwwqlnpqq1:5 i w:ion principle.

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20#

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In terms of an atom's electron configuration,srsm ds ml3 q avc3/7 nspw457p83e2dd the letters K, L, M, and N refer towndm lse7p 4spra538ms3d3vsd 7 q/c2

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 numbe4hf(5; o v1twfc.hx der 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 numbers or electron states areyeuo:8gopod08j+3u i 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 jc:xs)(ibp t2 have completely filled shells or subshells arj(:sib2p )tcxe 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 which lack one electron from a filled r*. o:,trs9wkfxxk/ u shell are referr w9tu. fs/xr,kk ox:*red 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 elfm3v;f 7z l+ygectron are refey7ffmv3g+ z ;lrred 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 acronym fjf/vf30g /7xoj)hem 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 n f,/aln8 hh7ituzv9)uk8q 0nn ;ngk-hologram, one needs, in addition to an object and a piece of phl)tv nq8u/hn;,kfz 87kuhnag0 i9 -nnotographic 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*p 4d2t bqgb8 4pwwlh+ 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 hydrf; k:,e87zws4dsrhjq,ohb z n (m1,xdogen atom is confined to within a space of about 0.110 ow,,hdkqze rm z7s:f;bxdn48j(1 s ,h nm. 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 qv2rc -nsw5 v*ouuxl,i)* o0t2000 m/s is known to an accuracy of 2ixq-*l0 vw,tuoc*s nrou5)v1 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 speedrsl ,ofhcylr qwr 0,we967 j8* 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/s, with the speed knowxpdw3h i b40cj*bfhg**c10ob n to within 0.100%. W w30dxpoghib*b01c c4j *bfh*hat 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 elecfjfi463jqq *abc/he/qx xwxfw). l*3 x j-d,htron state has an uncertainty of about 0.500 eV. What is the uncej qi*qwbfxx w/ axq-hj34)/ d* cf6xjl,efh3.rtainty 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 confinx.2ml;gn,f xded to a region of width 0.1 nm. What is an approximate expression for 2;,m .n flxxgdthe 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 abou1d vx2g:8oc3o - i te+ve0pngnt $5.0 \times 10^{-15} \; m$. 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 tlp rscb*3 gh1;5+.f sc-hqzjt he $6h$ 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 9m/* t t.t:kv+lnwo xpthe $6h$ 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 i xc ;ybruyrg- 7k*.m3kn 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 inzktg0-ep( :rhmn1 e l74).oyxaf2gh)o myn3l 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.c:th)wffl93z2k y pr- 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 gix(n- urr4(en8u 6 z9(cmn(adt(-r zndh0abi sven electron 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 eleabbjf1:u*c h *.d; nlyctron with n = 7 can exist in how many different quantum states*ubbyha;jc* 1fn .: ld?

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 orbi.spgvxx :vldh z:m5r 7-1du w4t. If one of the electrons has qua x1xvh uw.ls-p:v:g5r4 mdd7 zntum 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 a-dc8qxq4)rpd + u upq8)06ap z:yxg bu $4f$ sub shell?

A. 3

B. 4

C. 7

D. 14

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45#

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The values of n and 4nh mth8vf.9 k8mla5p:vj8t v;+yt zql 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 configura n4mwd (14. +bz/ eri r2locp,jehy3yation $1s^22s^22p^63s^23p^2$. 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 configurawd.gxb:+mdq t nn47m 3zq;l* stion 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 eleq+cfqvmcpj*46u0z- kctron 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#

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What is the electron configuration for Li which has5w 4aaz3buc :o 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 uselzu;g.,-tiw z d to bombard an unknown metal. The strongest peak is found for X .;uwzlg,zt- i-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 shortest-wavelength X-ray photon emitted in a1f qmt4iyh)u 7c2mvb/n X-ray tube subject to 50)uiq f27c /thb4vymm1 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 higher energy level to a lower ohihesc8 2v5o*ne. If the energy differencshhv5*2ic 8oee 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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