Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding9gx( c4q 8epdb an electron in a hydrogen atom is directly proportional to igq4 8c(bed9p xts

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 3mjm pi;im )py/1a zi:Principle.

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3#

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The reason the position of a particle cannot be speci2u xg;zv/fblvz17oaab ,s; v+fied with infinite precision;a7;a b v+x/f2v1svug ,lbzz o 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 increases, the accurac5:9j(c crpbpfwt- 2 zty in measuring its velocity wilzf(pt 5cb:rjw c9-tp 2l

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 increoc p35/ ci4f:/zucnn vq) rim0 o7xs4mases, the accuracy in nr3i iu:cc0f44)c5q mvxop/z7nm/ os 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 va u)cu2 dt-gjf q;5ci5olue 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 guvz84(lj (c* 0yhr lwclh-s* have 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 integer hsoe,ty )h03fg3peg.9 ( dflhvalue 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 havz::)1rq8/svw saqqvf e 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 i9hv:cy:s+ +hyg iu v;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 follop .mqmhr*.wb2wing 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 allowed magneticq8zotu 42 f3kso-;dfr 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 solutions only if the three q4:ljqsu zv57fuantum 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 thrm(.kasgcjgltdq rl7 j(q7 /(6ee 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 nuixyuo-1udft +i t9c1 3mbers $n$, $l$, 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 +x+pyd8g-iadj z4y )zyqqfw f lf;71: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 ru8rellw1 yh(2xle, when a photon is emitted or absorbed, transitions can only occwe1x (8 hr2yllur 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 a n-wk fv9z/p 3yveutral 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 prin8kw p w 4zx1*2ypkemu3ciple.

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20#

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In terms of an atom's electron configuration, the letters K, L, M, an s tq8qtzp+wt5p.gyy0 lrqil/ w4866u d N refer tpy lrq z40 wtuqq 5s8g+.wt tl6ip6y8/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 ly(mmt7 1.ws5c4h csv 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 electrokjh z d ,vznbxsiu6)5,ia/ ,tx5iy1q5n 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 shells x a7*bb..n cp v*m;dbvor subshellsxbpn.7*m.vvbb ;ad * c 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 ra ;j),*fw kbb:mxjvrq)/m 8adl8s;d table which lack one electron from a filled shell are referre ka:8vd qmw m;;db)ra,)l*b8f/rx jsj d 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 h4vber 0ni s1bma:bpr*;;4ckc ave a single outer s electron are refer0s er1;kv4b ip*arnm;b:c4c bred 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 acrony dxkw reeei1*z78 fd+u9u08;x ytpyx+m 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 addition to an object and a piece /:rodyzkx j;b/.dkb7k c;1utz- ihq4 f9+dbw of photographickzhu ktiobd1 rz-d +/7;xfc ydb;j49 w q/.:bk 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 o lazt+/)pmzc+f 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 ib )4swxx6:dqz6okg +r s confined to within a space of about 0.110 nm. kx):+4zd 6 r6sobxg wqIf 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 knor() (um9-).sy bhjw 91jaw(xxxsev scwn to an accuracy of 1 part 9hx9ysu-(x eswmjwv)) xjbc (( rs1.ain $10^5$ (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 isx q+rd yek8h)m qq0ms1.lv8/9cmabu / $2.0 \times 10^6 \; m/s$ 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 speed known mu y2 zzzs/wh9 8cn+o3to within 0.100%. What is the minimum uncertainm9o ycn2zw/zzs3hu+ 8ty 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. 81vifi 9z-js p uuko6pr.xq )6 What is the uncertainty in the lifeo ijuf. s8 kxpr pu6z-9iq6)v1-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. jlk3 ch1 5-w-x,ts: sy *rsjbjpy6qf2 What is an approximate expression for the leastwt,jsxhbj51* : -3 pqlkcfsr-y 6s2j y 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 v*7f8v,q k-ij9ekomm 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 ti5 cnbb 9o/ugf 8rpt/0he $6h$ 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 tho xmouu2 3r+h1e $6h$ 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 g ze,+of)/jwwrow /p*qd,,cq $6h$ 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 wv3e /3b2pvf9q*sv mc$6h$ 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 , s ogwbwb kcvh;r5+:;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 valyk, )54 n*kqjmz4uf fcues 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 u j5e8:u gp-loskak7 3i/b+jiw (xy 8h= 7 can exist in how many different quantum sta+ea k5h8y bjxoi7 :i8 w-sl(ugp3/ kujtes?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holdin gxp l3jd/4scu w.c. fl*k;mrt* fsy45g two electrons in orbit. If one of the electrons gflyl;4xtr wmc4* s3 dkj *.fp.sc u/5has 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 will f gn(h 0tmdv)q-k.4fb+gd+crmit 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 8bqoty7 5ft/d1wv ;bl 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 conbxx w)t yirb- )z4ov72.q3vit: f9wmaoo 2a,nfiguration $1s^22s^22p^63s^23p^2$. 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 an9r 0i)nacl z6yg- c*zm electron 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 ele6 cg:i-* n dm1goice7rctron 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 has three eleu22afg 5p ;7st )hfb,9mpz zdk mbwo51ctrons?

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 peak ain+;81k 9 jv 8j3njxbddf nk-is found for X-rays witj+3j 9n-dnkx d8 avf81bki; jnh 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-wavelengthp/ibken)yg 9m;h ex6 .,iq vhh:) +laa X-ray photon emitted in an X-ray tube subject tonx phg)qve/ba6+lh9;iaeh, y) m:i. k 50 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 t haj5kfsmkuy 579t4sy8iv:u;o a lower one. If the 4 5 ku a9tvs:ys8j;kufhmy5i 7energy 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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