Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is diz5z0*9 tnw y gvm-w.,nb0gowc rectly proportional cyo wgm0 ww-gztz,0 .bvn *59nto 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 Principleka r/7ktp5 ke0.

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3#

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The reason the position of a particle cannot be specified w,w7o 4/,; iw zzpx se/9qdxclz(prbz*ith infinite precision is tz z ,x/ xpq,7ze wrow94sip ;bz/d*(lche

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 x wbxcju7/ ;b(o7*knz accuracy in measurcbz7*ubj7 ;n w/(kxxo ing 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 particlhe,1hen lc yy7l72u-m e increases, the accuracy in measurill-72y,hyehu1 c7n em ng 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 val:u0hvol; .mstue 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 ca h)owwwv026-m zkt, hjn 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 hav-cq/yg w+mfc-g 4-w uhe any integer 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 integer value ranging2opdz62 4ss ve 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( rvq2kehc 0:g 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 numb.49.zvs+jhjr zvtkl .er 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 magnetic quantum number?vg+h x6 w)-m (chjgkw,

A. 0

B. 2

C. 4

D. 5

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13#

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The wave equation for hydrogen d ya/ 05p k6u0hllj4ykhas 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 the /x+p.z)f9y *ctx pm sjp,9mbv 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 threvld i8ayzf5n 4)n 2jh;-xvj/pe 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 numbr*mx58 vlo;3d )4ayxfx gumh,/e5cy qers ($n$, $l$, $m_l$, $m_s$) 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 iil:r3m-n2q6vcwaxu : o:dfydtj*j;u) xr*a. s emitted or absorbed, transitions can only occur ::x;6l)n:docta3dy2u.va *- u rwr mf* i jjqxbetween 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 neutraqui1wc e71 )rm;x4 h5r -xagssl 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 exclusion principle.g5f tq*q2bkhxl b:1 /q86 ud9p:xzlad

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20#

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In terms of an atom's electron 2lp+o ; r.phbaconfiguration, the letters K, L, M, and N refer toph +olpb.;r 2a

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 cajjz3c 0(9dlixvovq:: 1 iyqx ,n 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 are tqz/f8yst b30there 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 pert ovd yn:.p mp x; 4(w100xdi8zynod0jiodic table that have completely filled shells or subshells are r.0 nx4iz(wopmx0 8 dy dn; dpvo:tj01yeferred 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 f,i(/:vep 9)rpx icnomrom a filled shell are referre r,/ 9vnoex m(iicp:p)d 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 k.u+rcez 5+odjiv5tzms,q6c4 iv7 * pv2 /jl owhich have a single outer s electron are referred tojp2,+m6+i z t*vqo 5okzeu/sjdi. rv 4c57lvc 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 acronyy - 7,g/ifbsb ae7.(no ob,rgim 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 neeq6 fewl6. m0d w3kc80 1sxcbi s-)gmvgds, in addition to an object and a piece of photograpdemg.0wfxkv qcmb0wcs)- 6g 3l8i 16shic 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 coher qso1(yws. j je iu-kt(4mrv),qm zg;(ent 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 -)ee6w6ub)+dqh;+ijqbny pehydrogen atom is confined to within a space of about 0.110 nm. )n)6h; e yqdwbp6beu iej+- q+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 2000 lil; p-h5p ig4m/s is known to an accuracy of 1 part ;hp5gll4- piiin $10^5$ (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'tm00 vxv-**gb mup6kzs 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 45.0 m/s, with the speed kcc6ry4 4v,4w3rmxgoe z y25ddv 9bcx;nown to within 0.105r4owre 44 c2x myc;byx cv,6zd vg39d0%. What 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 electron state has a6)x.pvji4ub y q ,fc7 pxm4h1sn uncertainty of about 0.500 eV. What is the uncertainty in the life-time of tqx)j46., piy7 fhbu4msp v1cxhe 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 width 0.1 nm. yjdd2yzrz) +e vbl(6c*5 peg9 What is an approximate expression for the least kinetic energy it could +pegzl2 y5y96j (cd* zrb)dvehave, 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 is5cc26vpyli;cg ;g z6m 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 52zb z/jk xydzsv:8(,vkq )tcthe $6h$ 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 rn uyr36g 1 lvc/uodoh/.5in0 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 the+ fab7; r8aepmlf 5gf5faau.. $6h$ 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 isam1qb 4d016pjj oq 5rn 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. How many values can )46zzong8 udtdi;e5u 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 electri3x mj4b )8;5od ohjlpon 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 electron:b 2 i scj(oarcp;fq/g/ t7k/l with n = 7 can exist in how many different quantum /7t p/qa/(cjsifc2: krlgo b;states?

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 or/zls9,oy8 vk+/c xe xkbit. If one of the electrons h,xkos x9k le/+y/cv8zas quantum 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 mht, ;8-jy0kgimgh*m $4f$ 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 wfjoad 3ugpa)k/;,3 mfor 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 configurationbn 5,yys b6wh2 $1s^22s^22p^63s^23p^2$. 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 coo.wy *(/ oxyn1wa+jryf0/wh unfiguration 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 a+ 5a:p ktg65ayqm5r bnn electron 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 o +r6+xfn ,dq3e0quvnconfiguration 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 bombardn bqrjou38(v 4 an unknown metal. The strongest peak is found for X-rays with an energy of 66 keV bj(3uon rv8q4. 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 . nxrr0,phg3xpdv*wzw 9cz m 2g(dx1:X-ray photon emitted in an X-ray tube subject to 50 kV?z*m.(dwr xz9vdw x r1 hg0pp:g3c2xn,

A. $0.025 \; nm$

B. $0.25 \; nm$

C. $2.5 \; nm$

D. none of the given answers

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52#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

In a ruby laser, an electron y45z+n7p0rq v lbwqx/ jumps from a higher energy level to a lower one. If the energy differencexrn+/ wzyq4 5bv lq7p0 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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