Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding i x-:8sz, d2k4y qboctan electron in a hydrogen atom is directly proportional bx 4q -yozk82citd:,s 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 Uncertainz.dkf 6m2ns3o rhsu y(o:9 8q*nfja0 yty Principle.

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3#

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The reason the position of a particle cannot be spexqv14avag,m(v:v exd(+obl1l; +bft cified with infinite precision is thta lb(1:qm( ebov 1+avfx+ld;vgx v, 4e

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 measu 9qnftr/h 5k,sch 84vuring the position of a particle increases, the accuracy in 4qrvn8s5ukcth hf/,9 measuring 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 igp p7- mnvn-2p5a (ojqe1p /vwncreases, the accuracy in measurw/ v5q pe2pn(j7po n-m1 agvp-ing 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 valuj5jyngb ysd-f,1 2z6he 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 ranging frocp 1qh0x6msy4m

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 emnpd- 5)x8whl)dm3w 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 integerlq*)q jkd7 :(c.iuqkq8d.sx nt) +ry m 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 valuemjlr;s-d n).c 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 iqk*shz+, nw0c kk17tds 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 is not an allowed magnetic qua+z6l 5ltc4d:cj-)wl f uoy 1cbntum 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 q b1autl42lib4h7xr5(1n sat zuantum 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 solutio wa 17pdt6s37qio z9qvns 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 t/ k6s8 zq(tze,n; 5joexx92q sb.jhughe 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, ese4gl96u mr0bpp*pvj - cx9)the quantum numbers ($n$, $l$, $m_l$, $m_s$) 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 +4-dovxruj/ mu1 ubu9 a photon is emitted or absorbed, transitions can only occur between state with v- v4 1x +uudu9/rumojbalues 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 bonug9l33lgcpwnmv 091 g,l p 83bv,qa 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 c:: a9lw-lt tvprinciple.

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20#

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In terms of an atom's electron configuration,g)zn 3*h nv b5hjdah/a) bpz/; the letters K, L, M, and N refer toj5 /hgazh b3 n) h*;advznp/)b

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 o-cilf,kbx +n8f 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 of quantum numbers or electron states are there in thktmt6 ,fq o6; z v.v,,qzjod;pe $5f$ 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 haa2lszd7qm 3x)ve completely filled shells or subshells are3dls7 q2az)mx 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 peri4bk3vbjq*3z x2ur wbp+li7 x f r)fy,-odic table which lack one electron from a filled shell are referred toqkrxx3bylz2pr+w- )7f4 *v bbf ji3,u 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 sii 961ecgh +cu9vozw 6ongle outer s electron are refehczg+ ovei9wu6c 6o19rred to 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 acv4gfi l(j+ky:ronym 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 tc+v 5 gr9uc.xa hologram, one needs, in addition to an object and a piece of photou5gcxv9+t rc. graphic 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 :1,ms0ghbku9yiv f 9d 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 within a space of about 0.110 hcdbzr65 mlk;8o u y75nm. If the electron mass 7ck5b 685mloy uzhrd; 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 travel6 jd /vg2g8m rt33abeksz7m/+dxb7jting 2000 m/s is known to an accuracy of 1 part inedj 2 r7 3+b /8tjgmkda63/xm sgzb7tv $10^5$ (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 i3 lwyoj7)vs ;rs $2.0 \times 10^6 \; m/s$ 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 anv6 (l98xxqnlgd speed 45.0 m/s, with the speed known to within 0.100%. What is the minimum u glv9(n8l xq6xncertainty 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 an uncertainty of about 0.500 eV. W8cm 9ibs +zo( 3kq,ndihat is the uncertainty in the life-time of ,z(bo dn9ci+smkq8i3the 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 regiomk8 c1p, 9b1jyqumbg*n of width 0.1 nm. What is an approximate expression for 1c g b81bmku,*mpqj9 ythe 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 typica31b4/ qfaot arwiym-mda ;9d(l 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 - ioz-oxg 8y8a..fhe2qxjy : vthe $6h$ 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 i.opegl6thx2a2 8hx j, *kn1 jgn 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 34zqg*y eka3s6mlm j,: qebc*kwh2x)$6h$ 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 8qzt2fto7 ,g; di6o -joi7tgi$6h$ 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 gibfc ;licyk*::ad pw6 9ven 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 givhf:mf5b0x +m plckdwx)n. f)( en 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 witxu0z)4h f8ac kh n = 7 can exist in how many different quantum sau0 8)4khczfx tates?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state 8qn ub+6v*mxagfnd8b +* x xu-helium holding two electrons in orbit. If one of the electrons has quantum qg+x6-8dubua +xxmfb*8vn*n 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 7ek ,at vna4ab*i 0t*iinto 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 pj88 yu*dy/lzfmi wl1,ef9.y69 id qjl 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 coj 88ndg+;n u /lwo7lzdnfiguration $1s^22s^22p^63s^23p^2$. 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 electronkas rbjk,h1 p)e rt5. )/s;ifj 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 ele qgen2 u/fnij2 ;j.kc.ctron 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 bz :,iso)n7sq 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 bombard an unknown metal. The strongest pebbde/ r+i.nlns 7s37o ak is found for +7.7niorlesbsn 3 db/X-rays with 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-ray gf 9 pew* v-l2pehkv.5photon emitted in an X-ray tube subject to 50 kVk eh2e-.vg v*95p fpwl?

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 jumps yhi4csnt :b :;from a higher energy level to a lower one. If the energy difference between the two levels is 1.8 eV, what is the wavelengtst: :cinb4yh; h of the emitted photon?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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