Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogenwwc,b)+ a;otn atom is directly proportional to +b ;owa, wt)cnits

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 h vl:s4 l8ga,v 75khpqPrinciple.

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3#

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The reason the position of a3cf)oos,nk.ukz4 7m hc6f si 1 particle cannot be specified with infinite precision is thi 31m76 ko,uns4)fosch.zfc ke

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 posp: zbitkho33zq . f+s9ition of a particle increases, the accuracy in m.qbfit + z hskpo93:3zeasuring 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 particle increases, the accuragwm:4,um p k*ycy in measuripwmu*g kmy4,: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 va*)f iexutmysn2 asa/9 21 1vbklue 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 hav+6p suav k+:y2-ep4j ta : mq.,jxquqte 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 inteqcn a2rd sm8.(ger 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 ran-o -o6:/sp++ :fpw7.rhdg s-px qdykv,kslqzging 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 h )3 mg*o6u*iwpxhteen ork9,)jwd/8of

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 num)gdvmf;6 cet, ber 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 numbeyi5 g*p7m +a,5a*xcc5crk a qlr?

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 threpbmzv 2)harpy e5/5m4e 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 thry *ka+ e -5cwnu-;aol)k0wfn nee 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 + hepq-t8anj/ 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 w;2dd6 u h.n7lk)7hide 8tw-in q qcj1numbers ($n$, $l$, $m_l$, $m_s$) 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 t m)i3ixo;*o xis emitted or absorbed, transitions can only occur between state with valuexo3mt* ;xiio) s 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 5z0thbx1(vigatom 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 exclu c*gtb 4twe-pgzl5 ub(e1a1l*sion principle.

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20#

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In terms of an atom's electron configuration, the letter 80lhy ;):pnh/f krjy:s ,inivs K, L, M, and N refer t/ ihy frn ks0)vl;n,h 8jiy::po

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 occupy the 4 owvmep.x: )4o(t,.v qyb otv$g$ 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 numb.yn5c ,hcn; zeers 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*7nof)o tyf hch*zoum qws.f1s,my2:*a63p n odic table that have completely filled shells or subshells oyqst32h* 1 ofa m*f nocuw,6ympnz.:7 s*hf)are 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 elect7 )dnp7l i5kriron from a filled shell are 7i7nrkip d5)l referred 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 pav77 ),01r3 cxtrj t;zwonuaheriodic table which have a single outer s electron are referred to as)1jt; uz3w0nrc xa7vtr h7oa ,

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 ar1wbby *a/ji 34)9 zl8j ckvjwcronym 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 adv 6vo.b*0ex.h8kins2n cn u+zdition to an object and a piece of on*sv.neuk0h+28.i ncbv z6xphotographic 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 lighw.9nsgn3 tb1)usr xx) t, 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 h v78pye(iev/c ydrogen atom is confined to within a space of about 0.110 nm. If the ev8 e(7v ep/ciylectron 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 200( hs*si hldg*d n xe2ea3zx57)0 m/s is known to an accuracy of 1 p 5d*)*3s zexhx s (nle2ghi7adart 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 spenhq+7 k51e jfyed 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 speemuv m:ggj9 i1whd .c+:d known to within 0.100%. What is the minimum uncertainty in thmh:.v + cijd 1m:guwg9e 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 an uncertainty o0a6i vmug,v7t f about 0.500 eV. What is the uncertaintyviugt,70 av6m 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 confined to a region of width 0.1 nm. Whatx,f7i6a )cw ts is an approximate e)a6if 7txwcs,xpression 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 typica7g22rn96 kfbev jj((a hb c.inl 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 8(u2inkn,krxdh 2rt1the $6h$ 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 the y 7xmmz.6vn6g 4mv fa8$6h$ 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 thff+u8yuc lf ,x(xw56j(k6 ,w+ phala1g;xn aue $6h$ 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 inm o r85ckdwcu3owz)v +.2 mef1 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, aex1n1+r5-3lsai 68ubuf bt65i guwep 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 vauqe 6w dnrp8czwfq8-jzg4 39/lues 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 many db ( nup -7r31ps,tivndifferent quant,ndp- n1( 7subrtvp3i um states?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-statak;sx. rt9q+bw ;wh6wd3 7sj le helium holding two electrons in orbit. If one of the electrons 3 6wq;9.ks+jd;wxt7bwla r hshas 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 wior6(:dt,x yhnll 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 +l5iqj ,cz2rrr7y :aesngc+2$4f$ 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#

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

A neutral atom has electr l5tzao;2uov 0on 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 electnzbt 8-wtmag+q1c:s2 ron 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 config4:+; nvs1o*cfxf q/ffdewf+ h 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 electron configuration for Li which has three elec.+nomr- bdfff hjoz5ghm*7i v7xmr((.d ( xo3trons?

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 unk;;( i d-ur4* :dfbepidh6wtlynown metal. The strongest peak is found for X-rays with an energy of 66 keV. Wde:dw -;*y pi;b4 hilr(d t6fuhat 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-o5z- ilrl1k. z 8)scnswavelength X-ray photon emitted in an X-ray tube subject to 5lkl)sos- c8.r in5zz10 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*shn7l ;avlz 7)lsw: p one. If the energy difference betwe*v7 wsp ;hz7lan)ls l:en 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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