Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directly proport;x g ;mqpw9y,t)brf i2ion fqx;2irw9pygt)mb,; al 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 Prinrwdb7w/ hd6n 4ciple.

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3#

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The reason the position of a a,x8a3+ijhdldo.2af 0w,2w*y r ohtk particle cannot be specified with infinite precision isa+aijyk3 ao8.lf02* ,ow dw rd,hxht2 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 position of a particle increases, the accuracy oz lz752a,ckw in measuring it z,2 akc5wz7ols 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 y uis.r:j2x*n ibi2,l particle increases, the accuracy in measuring its position 2i :nu*yx,.2sli j irbwill

A. increase.

B. decrease.

C. remain the same.

D. be uncertain.

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6#

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The quantity "h-bar" had* ,bb )lehs5bs a value 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 h 0g,)zqe ktyd+9eihee c;k9;fave 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 integerpjln )0agr9r3 pb f 6b73xgl s3pkhd1l+e;;xb 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 vgf0,;bmu g 5 ne+k6maralue 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 value/q3;l h aslx(bs 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 followi/yzy;zvqi* c zcn1m ,;ng is 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 allo(f yh26opx;n k0 ly6 msn(-ccbwed magnetic quantum number?

A. 0

B. 2

C. 4

D. 5

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13#

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The wave equation for hy5 cgba:r;i5nlhj n i;,drogen has 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 6r tej4k3+nfs8cgo+ynn- u 4qhydrogen 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 tyi l*dn3 b3 58nl:u g7d9xoxdshe 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. g3z8sp*n olv 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 selecti5w 5jk )m,bxfion rule, when a photon is emitted or absorbed, transitions can only occur between state w 5k, b)fjm5iwxith 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 electron3ur0y+7t la kps 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 exclusion principlejk ek en enhyra72.-)q qb,55h.

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20#

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In terms of an atom's electron configuram0xn.uaqlv 2i +zj1 y0tion, the letters K, L, M, and N refer tx+1.uz0 q vy mi02janlo

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 t4j-v/d*ogtj moxr 23v)s)no z5 ynh;ghe $g$ sub shell?

A. 10

B. 14

C. 18

D. 22

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22#

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How many possible sej 0p7os jsyoo) ,w5yu/ts of 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 periodic table that have completely filled c. y*;g :r 8;i-)c grfxrzglntshells or subshells are refe;* xr tcrlfg- 8i.r;y)zgc: gnrred 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 from a fil r6+fge4vdwzs8e3j1g led shell ar+gs86 z gejvd4ew31fre 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 periodic tablef(vr i5ywbd6 cy-)u)t which have a single outer s electron are refeivyw6)rcd (- t5b )yfurred 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 an2-awu*swjsi54* w i hx acronym 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 ne;y,fgdc c2,xv 1d1xnyeds, in addition to an object and a piece 1 x2vdgyc,,f xd y1nc;of 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 )8.w2*ru 8max +rt8lddyu y1;g cxyip 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 9+ ul a1g*a1kkdm1)a2wng l rcis confined to within a space of about 0.110 nm. If the n1ckk1m92 gu )a +adwr1la gl*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 kha7)/mcm ;tp/kip) vofbj(s0 1sr,u m/s is known to an accuracy of k;rvc17 /it,0op(k/ j m hsmf) sa)ubp1 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 elec*z5 a 0,asiyaytron's 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 f c.0pt.fra(v vl7q1v speed 45.0 m/s, with the speed known to within 0.100%. What is the minimum uncertainty in the position cpv v.l0 1.fqf tv7r(aof 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 d3x *b; vr-pkouncertainty of about 0.500 eV. What is the o-*pdxkb v3r;uncertainty 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 regiokn2 jgr.4( 5ayb(ohoyn of width 0.1 nm. What is an approximate expression for the least kinetic eyja noy4h 5((2bg.ro knergy 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 nucle ,ky *xknfn*m: ansd4e)-gmi9us 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 tr jl s 0ar9;dah+ewmi 7*vt1m7he $6h$ 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 *v, aben+8r hy-p. +kadf)bepthe $6h$ 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 theyv v-pj)z4kmm d:( -r-+l-okwb*hlpa $6h$ 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 9wzaux(r 47c 95oz wdu$6h$ 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 l h,go. +f ivg hdp :v3,*h,ezdvmave?

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 = 7t +yiqs, 7ry.z. 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 many difn p; sg4j,r.sqferent quantum qsn;j.srg4,p 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 orbit. If ol c2(p tjm hma4vr93/ak +xm)vm4rv1tne of the electrons has qu 4kt/21jv4)lrtm(c9mvpm 3rmav+ hx aantum 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 f/plvsga :gr -b6q* p)/jcg4zmit into a $4f$ sub shell?

A. 3

B. 4

C. 7

D. 14

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45#

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

The values of n and l pvjg zsn-e+ :x 9f+5 ;idwagi/xeo*1efor 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 configuratiokq /o4al4 zi76ct fle;n $1s^22s^22p^63s^23p^2$. 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 electf. oy.9 e( hg7ltvuu8eron 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#

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

A neutral atom has an electron configurc-)r4vom, mm zation 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#

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

What is the electron configuration for Li -kwt lobbkwi7 d: x7f:52x9ch 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 bombavo6lfb/w-y k -p+g/y xrd an unknown metal. The strongest peak is found for X-rays with an energy of 66 keV. What is the atomic number of the m +kw f/b/l-oyp- 6xyvgetal?

A. 80

B. 81

C. 82

D. 83

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51#

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What is the shortest-wavelengf0fk3;c xf or;th X-ray photon emitted in an X-ray tube subject to 5 ;; ff3xfcokr00 kV?

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 from a highe9g2o x2avrnx;1 d3y tur energy level to a lower one. If the energy difference between the two levels is 1.8 eVot32n g; r xvxd2u91ay, what is the wavelength of the emitted photon?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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