Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directly prop )k xvtyy+1ee, xi((c;wesod .y:b4rmortional to itsc itry4mweb e.+ ,o1dvyxykex:(;()s

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 Prc vs8uh:lg3x2 jn( l-f2h uoppl 8vb)3inciple.

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3#

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The reason the posit-cycnbv4zuu1za l*49: hmf u* zq yk:0ion of a particle cannot be specified with infinite precision uq ::fzy0 *bcymc-nzuv4 4hkl*z9a u1 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 position of a particle incrx3(sf1wsk* jgeases, the accuracy in measuring its velocity ww1k *gj(sxf 3sill

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 oj; tqn 5kazu /;awqxo+5,0juthe velocity of a particle increases, the accuracy in,jo+;a;n uat5qo/kjw05xuzq 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 value9p ze;r.uly(8mcd )vh 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 vale)u1)x tcu-sm2zw f c.ue 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 integer value ranging f .*ouop mvgljt53 1d8rbup+t; rom

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 has fc.q7)phg/xe b4 )zd(qa3 paitg.,bve any integer 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 valu / 5i.mto),eiam -duqek6xduw l3.n8a es 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 1)y, 9kk spnwwm6 (kofg-ie3 his 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 f7*v fx wbunbes/2 d.)bollowing is 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 hasix( w: qksypn8p)k0nepy *s:1 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+*:lm jihdw(b 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 hydroloc.;gf* 0nqlgen has solutions only if the 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 numbn/u-q3 k ef5;7dn klyppu*f1yk;v: pfers ($n$, $l$, $m_l$, $m_s$) 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 or absorbed,6z9ul6ir xf* r transitions can only occur between state with values of l thatril6 6x u*9zfr 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 atom is called ieac+pdry(0p dq)h 9t+ ts

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 exclv)gv8 cn 0- nukl)henez6w0 e1usion principle.

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20#

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In terms of an atom's electron configuration, the letters K, L, M, and b6 p.qy/x 9kxiN refer tok / .p9ybxqix6

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 y.*b.aneu f/o 2p..tncvx e;athat 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 stay f-l;u 4*awpb:ot cc(tes 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 filledt8 u4wu :u(4hr;lzbb l shells or subshells l(;l4 r uhu8w bz4:ubtare 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 electron :2rkwcpka/xk )bl, i .from a filled shell are re,kx: i b.l/)kcrw kap2ferred 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 which have a single outer s electr*blsf;y x ;xn 6lgz2.con are referrxz;x;yslg* cf lb. 62ned 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 awlh jvjg1(llp)ni43nj3 7kvf 4 0hn5a cronym 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 (klf9; gfd )yesc-ge/addition to an object and a piece of photographic fil k9- g(;)gffsl /dyeecm,

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 t ag g4u7f3ca3beam 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 ato n5 rt ttvg,gznriv,5et.6gav 8b32g ,m is confined to within a space of about 0.110 nm. If the electron mt v2egn6ng,,r8i5r5av ,gvtt zbg .3 tass 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 (abq5:q *k(pdkq xv2a an electron traveling 2000 m/s is known to an accuracy oa25kq:pxq (*(vad qb kf 1 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 electron's speed) :k a27ve fhqrjd1j7u 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 l phz 6wm09gnv;mf3l3 m/s, with the speed known to within 0.100%. What is the minimum uncw6 hnlzfgm;09 3p3vm lertainty 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 abousd truk ujt*-f2*)znf/sf0-3 i8qq gr t 0.500 eV. What is the uncertf zdrf8 tq0nr*j-q/k u32f*-g u)ssitainty 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 o 5g merhst,7g7disf((f width 0.1 nm. What is an approximate expression for the75hmf i(s e,tr(g dsg7 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 abo/4ipef 66njw 1 t 8fsemqz6n;xut $5.0 \times 10^{-15} \; m$. 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 t5w5a:a4i yfka o6*nvd he $6h$ 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 (l,1:ep5oqzkf 3zce w 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 (v(a o fmb,topu 6e7g3$6h$ 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 tb fy*wn dc4-dp.)ithnk:),iav f 7 o-fhe $6h$ 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, aeq -mc 3cnu9*u 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 value/yud-*oz0 aoy *u 3dnos 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 rx6x9-vy p5u zs;3s xx= 7 can exist in how many different quantum statrs5xszuy x pxvx-6 39;es?

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 orbit2m 6mgxactn68;rl9sd(*ed m 3)lc yel. If one of the electrons has quantum mml tx8ce2;s (yadlg 96)c6emld 3*rnnumbers ($n$, $l$, $m_l$, $m_s$) 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 swg i9ph bt3-(s7 qtd4fit 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 arxi 64d6 nul: kofk0t2l6dy7q $4f$ 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 configuraxz ;/xu-0t t0tsegx( ition $1s^22s^22p^63s^23p^2$. 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 cor8(nl ; pa:qwunfiguration 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: . ,d3v2dkpxzd fm f6occ2t-p 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 configuration for Li which 2z- s ji9;uvrchas 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 bxtit( oh +kluf0 / -ll6r:i8xkombard an unknown metal. The strongest peak is found for X-rays with an energy of 66 keV. What is the atomic number -lki8xikx :l/r(ht6 +to0lfuof 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 photon 3hen l -ovr4+lemitted in an X-ray tube subject to 50 kV?l nl4-r+ ehvo3

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 toc bk - t8esq.wb9z8a*g a lower one. If the energye.b88k9sb*- z qgatwc difference 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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