Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an elect8q-bvltv e7u+ron in a hydrogen atom is directly proportion 7e-8utvv+lqbal 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 Ud8 +9z9nyhw-la oho3:paqq;q ncertainty Principle.

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3#

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The reason the position of a particle cannotxg q13p*82 )the zloel be specified with infinite precision8gz)eh*op 3qe21l xt l 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 positio r72ufopr+mr /b8 m;vnn of a particle increases, the accuracy in measuring its velo2f8umm; r r/orv+p b7ncity 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 t je1kug(k6;1 uwl .5r,bppzythe velocity of a particle increases, the accuracy in measuy wk5plt 1.1 ;z6pjk, uug(rbering 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 sy 7 4v5t1) hspr7d oy*oarke4value 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 have2xs :w ++eyfrn 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 0kate7gi8 c, ovalue 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 numbgl n;ubxn 3y zcy.45d8er 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 values ovqkfkhs t05a9vs7cd5. cv. z )f

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 57 dqb42kuzm(st*tvk1)+ o grebjft*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 followjtap)8 19v+-zbtqx fzing 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 has solutions only if the three quantelzzh42- l3nsq t(nx4k -gdi 9um 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 hydr ) cde11nbj:mqogen has 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 only if the three quantum nu6 bj vlg6c))lwmbers $n$, $l$, 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 numbers (by+*jom w4/p; t4noyi6 n(dvs $n$, $l$, $m_l$, $m_s$) 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 orw ijh7k k/)go4 absorbed, transitions can only occur4hkw 7i)j ogk/ 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 electrez+u* k qztl/,ok.y m3ons in a neutral 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 exclusio2:kwywx;rs6h): klp x. *ystk 6mm us:n principle.

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20#

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In terms of an atom's elecl/ ay/( quxgr.tron configuration, the letters K, L, M, and N refer t.ygr/x /luq a(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 numbert1x0g+yc/ g 9pkm0u yc 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 osegc0fyr .c)o8 kx3 z7f quantum 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 peri,h/1 uspn 0ijszibf.,odic table that have completely filled shells or subshells are referred 0hfsui.zi/j1b, sn ,pto 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 fill(u7ki x:ckh2 e8 v /ygki,sd8ved shell are ref8,kigvvkhy: (id7c/x 2e ks8uerred 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 2klv eyc*,,naare referred to 2lenvkyca,,* 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 acronf3m4yv gof77mn)cxq /ym 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 (2uf9i kab uuwgvnmdtp07 0.5an object and a piece of phk b90mw2pdvu.na f( uu5 0t7giotographic 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 cohe7nz+: 7pyj t3lg6ud farent 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 gtmuvmz+ ua 1is:efc546k;n2within a space of about 0.110 nm. If the elec265zs mvkg t muce4u;:1ni fa+tron 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 electirzz h2s cj2-ew32;uw ron traveling 2000 m/s is known to an accuracy of 1sw;z23 cj2z2ruei-hw 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 ismj;hf( op5 mlasf0:b 2 $2.0 \times 10^6 \; m/s$ 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 known to wh d,ia 20kwwh2/1ojned6 jw+hithin 0.100%. What is the minimum uncertainty in the pe1 j kh2w/+dhdn wjh,ia6wo02osition 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 isps6--hkl- mu sy 7qgloy*8,ya the uncertainty in the life-time of tq p- lagyym8-so,yku*sh l67-he 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 cy3; xfeo9)2pg ejloy 1onfined to a region of width 0.1 nm. What is an approximate expression for the least kinet93lyo2xy)g ;pf oej1eic 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 typica*z02pxgf m+vbo o;w6dl 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 i4 oz,v *.yssnr.k2 q 13irnchkye;dp .n the $6h$ 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 in1gngs4rs7 .m n the $6h$ 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 thnce;q / r6zf)re $6h$ 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 inp *l 5+x6yjud ytajep7sh78m4 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. Hokal52 1q;g*m yiv;q ssw 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 h/ y.3xmn xe,4rnr 5ps38:ywy qt)n- iqjvmt2h as 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 electron with n = 7 can exist in how ma l-rucx*) jqz,ny different quantu,)jluzr* cq -xm states?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holding th,s bpkzl de 9u.:i*7mwo electrons in orbit. If one of the electrons has quantum hd,eb l:zui9. *pk7msnumbers ($n$, $l$, $m_l$, $m_s$) 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 wil+/opjbovtdn6 of j0q0ooev1x4z ( )e*l fit 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 for a iczm* t)c4v w cow. .m2w8su+e$4f$ 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 configuratiog +nuyf8; b,ib-re7aov v: m8bn $1s^22s^22p^63s^23p^2$. 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 configurationln-w)*d;ma msbhy)4) )yg wp v 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(4 jm- rxp5(papbmlbj3a nd).lectron 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 wh/:hsccyh, t a7ich 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 ny0pn4 u8vya8x46v bf. The strongest peak is found for X-rays wit vbpn6n84v8 y 0x4yfauh 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-rayat(,wf0nb -b n photon emitted in an X-ray tube subject to 50tb0n wn (-ab,f 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 el g:feh ae+:d:9p,l 7epnwcmy3 ectron jumps from a higher energy level to a lower one. If the energy difference between the two le:wy9dnfp,mhpa+ e:73 le:c gevels 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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