Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an elecrh0 (g s zc5eg555yehttron in a hydrogen atom is directly proportionyr ehsgh(g0z5t ec555al 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 Uncertaintye 1eyvxv8,wg1 Principle.

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3#

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The reason the position of a particle cannot be specifien 4mze qr4sd/p)r9j hu*4jly-d with infinite precision e mnr zu9 r/s4*yj 4qdl4)-phjis 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 i -2;, xviy0pl fw)qffoncreases, the accuracy in measuring its;,2vx0 ofyl-)pwfif q 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 increases9l-bqo x5r4aw , the accuracy in 9 rl5x wb-4qaomeasuring 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 yj.*s5n.(gwavso8q s 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 have any i nfv y,vf9c:t*c z *z7a2o:8py fsjdt+nteger 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 value rhk 2-yul1af+qq) c yj/anging 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 value prz3 -8 xwa/dqarn7i-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 c(lhgj)kdf4 (:s hm gt )*pllp)an have 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 follxcpnh1.leez :. 4v;()yb rzwk owing 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 magnetic q h4as yak0zl)q7*l:gv uantum number?

A. 0

B. 2

C. 4

D. 5

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13#

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The wave equation for hydrogep 41o8lwf5;fs 6st ccvn 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 hydrogen has s,ybkvr9yl),d2sm ixh10t d: nolutions 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 solutu q: knb1j1 pms7beh5.ions 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 numbers nm+z1t8u uo e8u0fvx* ($n$, $l$, $m_l$, $m_s$) 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)n -a2u7:dewqm czv9 qbf8onrn- 17(u .lbyzg photon is emitted or absorbed, transitions can only occur between state with values of l that diu :-yn 7 zq7o1g9c .zl8brwv)ufem(dn2b naq-ffer by

A. four units.

B. three units.

C. two units.

D. one unit.

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18#

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

The number of electro4ocl d a2gjwm7.3ecp8ns 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 pr0v)ejy-q5 off+o yna :inciple.

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20#

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In terms of an atom's electron configuration, the letters K, L, M, and N redkm )sr;, xk 9zztg /sc2op-neg8;,yufer t,yzcd pnetk xk 8su;rg/m) ; o9,gz2-so

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 electronm rdunu*e 6i.80uwk.cs 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 o ipl6 m:q*cp4q/djws2f 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 comple9yb ;hsrni,a0 tely filled shells or subshells are ref,na h;iryb90serred 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 l t.jxdmyn:24z ack one electron from a filled shell are rn dx2mzyj .:t4eferred 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 periodapnd)81,n6ivu)d jy2m t m;dhic table which have a single outer s electron are refed28vn mptddj; h nu),a i)6my1rred 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 acronym ko+2) uv3 -blicb87r b yfq3yhfor

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, indte,1 bt:7/k,umrg,7wtyx ce addition to an object and a piece of photographic m /xr gtbyk7e,et:, 7w1tdc,ufilm,

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 id3i.u y),jrh-r b1zuwith 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 spae,bi- lhy 1b3ace of about 0.110 ea1 hiybb ,l3-nm. If 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 known to an accurac ;bv,rdxv bp35y of 1 part in v3;rpb vd,5xb $10^5$ (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 is ((b.nyw qslm 4$2.0 \times 10^6 \; m/s$ 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#

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

A baseball has mass 143 g and sph 4f6kr4 nxu2msa/ed- eed 45.0 m/s, with the speed known to within 0.100%. What is the minimum uncertainty in the position of the bah6 re x4kan-/42dmufs seball?

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 uncert+4tw/m*wkaz t(4gb nwainty of about 0.500 eV. What is the uncertainty in the life-time of the levw*(4kbwant 4g wtm+z/ el?

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. What is an a3;k ugsy3o8 r68r w/ahzm ifq+pproximate expression for the least kinetic energy it c3soq au+r 6yhgwm ;z 8ifrk83/ould 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 nucleus6ekf rfj.-*pe 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 igqvl7;/ facun/jr +n7n the $6h$ 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 t2wf b70fn(dji) u ex*the $6h$ state. How many electrons are allowed in this state?

A. 22

B. 18

C. 14

D. 10

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38#

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

A hydrogen atom is in t.q9 3ku fiift 3fga,x0he $6h$ 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 t tvpo,v m4 t99cw4h:fthe $6h$ 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. g.o/,.kljiltk,h5ak4 ql).cy y k6cx 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 = 7yx 0w7tu6fp 8g. 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 houpo4al0ohg4 dc h ;kg*fna94 4pm;u7 ow many different quant foc0 44a*hg ko u9 ugam;op4ln47dhp;um states?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holding two electry )(pl xb3hmj6ons in orbit. If one of the electrons has quant6hmy x)p( j3lbum 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 fitkc-:*co x3mi d 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 a p,p.8e ncm eni .:b5yana(u+h $4f$ 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 el*j+ d7ds 4fr.7sh uclmectron 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 electro i*qc-(/g waupdh7-su2r u1np n 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 cy* 0(/fwthxyponfiguration 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 forpbx/k( v3(k/j4 h q).oqyi hny 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 bombard an unknown metjryl-yk4 /*.6c y ksa1awgcw+al. The strongest peak is found for X-rays with an energy of 66 keks-* yky1la6c 4+ w ./rgywcjaV. 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 photon emitted in an X-*/u-r, uklobpray tube subject to 50 kVork-*bu u/p l,?

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 higher energy leddf bxp1 9/k6ivel to a lower one. If the energy difference between the two levels is 1.8 eV, what is the wavelength of the emitted photon?xi 9kb/pdd61f

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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