Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen/e ca4j.d;jzdb1s. qm atom is directly proportional tzms j.jbc qd1;/e4.ado 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 P7fhm0ty *,tuouz3xu+1 s5cqh)j/h xo rinciple.

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3#

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The reason the positis u/m 4p.8v.lat8eq otpm5l:kl3 pv+lon of a particle cannot be specified with infinite precision i lmp5aut t8+k v.mlvp:8.oqp s34le/l s 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 thefn1jf:b6 8let position of a particle increases, the accuracy i:86l jtenb1ff n 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 velocitkex.v o axc ug2p1*/x7y of a particle increases, the accuracy in au2v.e7gcx xop*kx1/ 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 valu s vd/sj6n+v+wa3xkhul12 ,of e 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 cantiw:z7+kib, e ,scad- 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 any2-q *f0z o0jrho. dp* 4omqihn 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/4tmzx s o (.3bsxjo;l number can have 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 vi0 -l7c2 nc7nx((pxvielae8n alues 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 y2;8y 9n,q xrqco:hcz eo6p2ris 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 follow4sdu:z+h ) jcb ka;zy7ing 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 has solutions only if the three quanq- q1nif4l oc wn89*cptum 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 sol yva,.xjuvp se6-*0w5yyhrq* utions 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 the three qumdx ,4fcb eu 1k4cq6hgq7 l+g/antum 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, thk4m07)r(hnqa b0x dudz0a*wp w3j el .e 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 a photon is emiy;zta9y5+i d mfu76 hetted or absorbed, transitions can only occur between state with values of l that diffe;y fyeuhz+9mid 5a7t6 r 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 3j.ayufgw0cb1 m. ;t2kdv)mgatom 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 phwe/ad x757 oiu;wr4vrinciple.

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20#

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In terms of an atom's electron config (kc;enp4g,5v;- (add,sbs0vrg hz wkuration, the letters K, L, M, and N refer ts;sgzk;4,kr (0,dwg-dvcp banh5( ev 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 numbe;t )z i5-hlp5(lur-ci/ l/otxlyx,/vif ar i-r of 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 t7**1jk zvolz zqh c3.i(k ii8qhere 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 pnyyj;z u(7tv :eriodic table that have completely filled shells or subshells are referrev z7: (yt;nyujd 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 wha2zp6.pdy 4 tjich lack one electron from a filled shell are re4z2pd.p tayj6ferred 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 ha9a6/pw ljkxu 7*xo 91p izib+bve a single outer s electron are referred b z pw19/lau+ixo*bk6ij 79p xto 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 acronym fohe+o/4 vlks,yh br5k.r

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:if d2 bai )u-wrk;+nk an object and a piece of photographic fifn+ a:)bi wukr;2kd -ilm,

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 illux z ab1c.-nd9rminated 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 u 2sessc-9sl+ gto6y-+zm+cc/fh ;sf uu2q ,h hydrogen atom is confined to within a space of about 0.110 nm. If the el h-s/g-y;lc26tsu +2ess+ suf+zoq9 fcm,cu hectron 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 of7)3 cpvxz2kgv an electron traveling 2000 m/s is known to an accuracy of 1 )v3p2 vckgzx 7part 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 spebo s0g5nm,.t/rxiwj se ;f t,e3r rf3(ed 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 speed known t jutf,llr8r ,2k (ycs/o within 0.100%. What is the minimum uncert y rl2( ucf,sr,8ktlj/ainty 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#

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

The energy of an electron stat8526w: s 8 svkstgi9qmirkz+ we has an uncertainty of about 0.500 eV. What is the unck589k s8 sw 2wgqzt6:+vi rmsiertainty 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 ca9tdk)5omn 9to a region of width 0.1 nm. What is an approximate expression for the least kinetic energy it co59o9nc)mk adt uld 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 n* 0.x5 jpfa46plakq;f9ubk ypucleus 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 the .belg*,iqm sl2 xh)t3 $6h$ 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 u/yko)gs x))dw , +ihh$6h$ 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 t5g*k.u juw6fm4p vbk3 he $6h$ 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 ingl(, -xj4+j ,e vh6sdw yufxo0 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, a given electron has n = 7. How many fo 1 x+m(gmj6rf9*yu jvalues can l have?

A. 6

B. 7

C. 15

D. 98

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41#

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

In a hydrogen atom, a5b,pzehz )p nrah((3h given 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 with n = 7 can exist 0 rs(1wila x,kueivz:mo a.gyw*/p(8 in how many different quantu(w*,8e(i r u/0xgl:vwy k1ioa z. mapsm states?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state 55c lwuuxxej5;f.-e u helium holding two electrons in orbit. If one of the electrons has quantum nue-55fj;uu wx.ec xl u5mbers ($n$, $l$, $m_l$, $m_s$) 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 wild/yp hgl ksa4 u:1mk ;*,b/ipml 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 d)ojru- r0g )1mccovk3p)t s3 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 electrh+o4f-f r;1py5dh d3)r qw hgoon 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 electron configuratiory/ ipu3zz s1 ue1.gt.n 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 i 2 w/7;r-y8 gdt.3ydhyvkcmw9nm )yj 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 fohih o iq.0qxb6/o:l cdq 4w:9nr Li 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 bombardnd6e9j u p;gw1 an unknown metal. The strongest peak is found for X-rays with an energy of 66 keV. What is the atomic number of the9d ujw n;6e1pg 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 emitted in an X-ray tube subj;kxly zzvda.,)du37o ect to do) l3.vyk u,d;z7 xaz50 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 elect+:28cdmk)iwi y )wi peron jumps from a higher energy level to a lower one. If the energy difference between the two levels is 1.p m+i2k:ywe c)8iwi )d8 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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