Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directly proportion:kery 334l clzal to itzllr3:k eyc43 s

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 Uncer/ a0zzengf-uen*6g /ytainty Principle.

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3#

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The reason the position of a particle cannot be specified with infinite preci.8 grivo(z 8,+smb p i/ywo1bgsion is (g8 rgv,sopo+8.iwib1/b mz y 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 increases, the a n +:f:pkja(rvg vr8j*ccuracy in measuring its velocity will( :+gr8vn:f rvajjk*p

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 ofqthn-;vplr 7 a htnbv5j68c: jz4y;g1f x8)gj a particle increases, the accuracy in measuring its position yj;p8-g6 hqg n;rvvn b 5clfhx8jz:a1) 4jt7twill

A. increase.

B. decrease.

C. remain the same.

D. be uncertain.

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6#

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The quantity "h-bar" hapse t /sc)0xc6s a value 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 ihg0/vc:(ne x.n , zj uq5ffd2vnteger 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 intnih9gdl eo*-qko rymf 6;e* +t(v o5z-eger 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 numbe fr wm484oo 62ncgmd;fais:1br can have any integer 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 can have valuewjfwwm)5p;g+z 5;(w k+ltmwm s 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 i/m6spzw2/ yv as 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 is6 (sbu9*:ruljy0mxln 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 has solutions only if the three qup ipru;uj9aw**s6d5 rantum 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 hjgb,b,s vx79 d-z*mkn 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 hydrogen has solutions only8ec:y7x z2e t;d fwf0j 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 m8lk 6xrc / gxw/+ohc eq7:oo0numbers ($n$, $l$, $m_l$, $m_s$) 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 selectit1*.+j2zez pwxy.4z oq(kz 1h1 rguxo on rule, when a photon is emitted or absorbed, transitions can only occur between state with values of l. gq*xe( + 1zythkxu1wo or421pzzjz. 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 :; 7.(i h or2ovuooa+ bc8 xzimi5 /pnofmz5.acalled 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 principlepi(x apk96+lrdz seuuxr905/.

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20#

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In terms of an atom' :w )vnmt96./52k:fxsaj ahn geuebe6s electron configuration, the letters K, L, M, and N refer tu9 ekexb/5g:.2:sm 6hjt6f enna w)av 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 ocp e*fdgi36( iccupy 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 quantu-re3 i t;9k4fp(njkjs m numbers 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 mu vp)ob*8nw:shells or subshells are referred p b8mwn: u)*ovto 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/bq8kx3uvj l0 a filled shell are referred toq u0xb v3l8k/j 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 reluglm8 9/vb 9 u9o4vapferred t84g vbl/ vau99muo9plo 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 forqirp9;8 j-sra m4ip d/k8nt4i

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 holoe i uwdb750pz8gram, one needs, in addition to an object and a piece ofp8 07wui zbed5 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 il d;er7)5g) + vuh7f ur+pdoufxluminated with a beam 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 hydrogen atom is confined to withid(bmrq1b*ft4dj)zgh qhj7 s d7- 9al) n a space of about 0.110 nm. If the electron (7)7zt4*b hsq9mdjgl1 afr hdb)q-jd 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 electro07t y;snse zu c:yd *9pgdz.t)n traveling 2000 m/s is known to an accuracy o7dzt0esys :ug y) *z .;dp9nctf 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 electront vai8*8wfo k;u- ;npy'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 speed 45.2p+liwbis6i 1yuw-p 6 0 m/s, with the speed known to within 0.100%. What is the minimum uncertainty in the position ofuwilsp + 6i-y2b1 6piw 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 electroo c* htat2lva+z(saj3t .0z)an state has an uncertainty of about 0.500 eV. What is the uncertainty in(s 3az0 z lo2 tvtjc.athaa)*+ 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 cx: ,xsxvpa 08width 0.1 nm. What is an approximate expressiopxc,sxxa 0 :8vn 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 typicalt,+ypyl0pye 9 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 ta55xpv8/sg8ep fe b7 ghe $6h$ 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 k,yan,)uy v bkfr )szi 7hc117the $6h$ 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 oc6( kx;yhri9qb . 8tethe $6h$ 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 the usl+o 3o)s1c n;ip,nc$6h$ 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, aoy/ljz3iaq 6+fm 4;6zrn*qvr s y7p 9v given 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 = 7. How many valks1 z3dm*6xr:r opz1xxo jn ::a5+aurues 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 el 0tlz +oe r;yl(33nw-cen l0xvectron with n = 7 can exist in how many different quantum statelzney00;e3 rl n -xlv(c+ wto3s?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holq 3/qgo g4.*acfcp n;dding two electrons in orbit. If one of the electrons has g.d3npgf*q/c cq 4a;oquantum 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 fikg(s6zst+ak:0j b; y-: tclil t 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 iq(jx.4 ms5 phfor 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 configuratiof(yh(ywhkcs b(hq 4w4ua/ . ,rn $1s^22s^22p^63s^23p^2$. 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 electrov+ u)el ww(/go -dxfx:n 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 config o:yukdi6 m1o,uration 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 electron3tt4d an+e( a3* 6:2xksei: r ysefyjm configuration 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 bo sx 5 (rbyo1exd.tj:3tdgdx48mbard an unknown metal. The strongest peak is found for X-rays with an energy of 66 keV. What is the atomic number of the sytdx4 :b d8(go31jx.dx te5rmetal?

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 emzeuv9, jwx)oom ek -m-:.wos4d6)y mpitted in an X-ray tube subject to 9zovmk :,-.xusepeo6 o 4w) jdwy) -mm50 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 hi05wkv g9x6,zg7vct npgher energy level to a lower one. If the energy d 76vvwkxcn ggptz,905 ifference 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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