Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen ato 8 gp3w- hbe1pn ,()hrern2xrqm is directly proportionalween,1h p3(x)hr8pgr nr2b-q 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 Uncertainty Princcu:/rrj st;*htt pa)jw /,n 8giple.

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3#

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The reason the position ofyq -5ol- vgv cj)j:7an2m)vj g a particle cannot be specified with infinite precision yjomvq 2 vgvj)ac-l5-n7)gj: 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 po-2nf+)(fhojmz* hrk .xh eq 7nsition of a particle increases, the accuracy in measu f7z k)(jm.-x+nrh* oh qh2fenring 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 measuri f*bab x7rhi jx3+o5r8ng the velocity of a particle increases, the accuracy ib 3oj7bxhr+i a8frx*5n measuring 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 vbwaos*l-k-e1 ( vnj q-kvl+2y alue 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 ray7.jup4u z: f.mof4prnging 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 ve jfj s4suw/6qp k;70balue 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 rang80.abx ov az/q wirfy5sg2h m0zv97 l6ing 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 hae 4+d;:muwbu3pve uf 0yl36gqve 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 number for7gowu,(9seigt.4 nt o 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 isuhl x()g)ptq6,qfr:b 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 solutionsge yd5(bv 6poe* c2yj;tl xe-3 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 three quantum jchq0 t35px v;rim .ql)v 7jp4numbers $n$, $l$, 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 thefq* l+:vgnsf:vm7 hn) 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 n+4s zya kofkbt- y/n0d 8uz*g0umbers ($n$, $l$, $m_l$, $m_s$) 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 oc4.qgb8za7xy*g ;vrf r absorbed, transitions can only occur 4 fcb.qg7y*8arxgv;z 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 qh6th m)hgg- 5a 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 exclusion pr,ju w avszd:9 .-orch1inciple.

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20#

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In terms of an atom's electron configuration, the letnv+ )b 7ngrt,eze32 slters K, L, M, and N refer tng3,)b evnz 2etl+7sr 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 thnvfc.u )myhzij 4 .;z+at 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 are uqck 8u2r;ppk4,h )7 9g nmmlmthere 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+6hdp fafx,lk(*l 8rr02b tmfodic table that have completely filled shells or subshells are referred to asfr8f fld0hatmx 2pb (k,r6+l*

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 shes5pmv 7vy9zso1:jz7 sll are referred 7j 7mv:zs91s ys5 vzopto 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 electronlom,o 4)+2suzby9lvs are referred to amoyzvs2 )o 9+lu,sl4bs

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 v fl 95r6;ofy4b z 3lnn.rhqe.n/q 1pj;rg(q lfor

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 :wzdj+b0k-ecf xb 1z3hologram, one needs, in addition to an object and a piece z03bxdjzc -:kwf1+beof 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, it pr 4jgi*oe-u)m3vod 9gm oduces

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 tos;6;)pgv fpgsfihx s;j:(ty + within a space of about 0.110 nm. f )ig+;pp;s(f:hj6xy vs s ;gtIf 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 m/s is known to an acch v 3*ya4xxbj,uracy of 1 4 ,y *bxhxj3avpart 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 spee97d j- pkmq,lgd 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 u5ta 1)8ay8xu+kaepm +qw(w n45.0 m/s, with the speed known to within 0.100%. What is the minimum uncertainty in thmt88+n( wy ex+wp) a5a1uau qke 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 electsea3 yt.paumz 1n1m 3:ron state has an uncertainty of about 0.500 eV. What is the uncertainty in the life-time of the le 1 mp.t3ean szm:ua31yvel?

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 regio2tusr2m* +erln of width 0.1 nm. What is an approximatetrlm2sr2+ue* expression 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 typical nucleus is aben ijmcz(. +:jk:*icwout $5.0 \times 10^{-15} \; m$. 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 ykqsbe1:5c*po5 1pl e 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 in tq+rn ;hbv;e9g n. mbw(he $6h$ 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 inoqrnun j5k4 n924ye1u;f)mkf 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 in t0pve b,n 91igd:tkg 1jhe $6h$ 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 electr.j,oh 8eg*br4cmvrl tf98s(w on 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 gb:yrpstj+u, -+c nr-tb r91, pzvam/ ojs1il)iven 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 electron with n = 7 can exist in how mamg .nrnvgs(d6 4 e;*stny different quantu.rs(e; gsv t6g *dnnm4m states?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holding two electr lae2aa8 r+ 1/y1dulhlons in orbit. If one of the electrons has quaa8eh+u/1da2 l l1alryntum 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 fv(bthdrz (fy-vlp 21z l*:p2wit 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 5wd-hy (m kql l88mpn0l 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 b+,xte.xjhg (configuration $1s^22s^22p^63s^23p^2$. 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 confiqs-g ;-exw sb+guration 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#

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

A neutral atom has an electron configuration q6ep l p46*krzof $1s^22s^22p^6$. 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.nbbex; gq p:0 snrtp1-ml42v 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 metabbe r::p89s.8dhb69c iyn+ meb , krnzpkd7(gl. The strongest peak is found for X-rays with an energy of 66 keV. What is the atomic number of the my8c dn7e bmsridk+: .6 kb:8,9p bng9hp(erbzetal?

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 emitt cim7,1 nme-7dnn+ukp (iy) pjed in an X-ray tube subject to )nnd1+p pic -,j(mn m 7eiuy7k50 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 energy1ta8xo pl. i-ymn(mpp/(6vl u level to a lower one. If the energy difference between the two levels is 1.8 eV, what is the wavelength of thex8-(n(apomlm p6 1. iul vypt/ emitted photon?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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