Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finq1o6zx5+d m2cfq xn r0ding an electron in a hydrogen atom is directly proportionxqomf61c 5 zqx +0dnr2al 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 Uncertain o soj*fu;u+,;vnlih) ty Principle.

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3#

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The reason the position of a o qq bdtc y -il4z14z89 ; x.erbu7q.w/-juzfdparticle cannot be specified with infinite precision d z-uqoc-.r 84;te9w74 bbzxd/qlu1zq f j.y iis 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 increasevt6-o gj) dd+ms, the accuracy i)+tgd m -d6ojvn 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 velocityc) 6 d l gmf.ts22cxh+b 5zm)j-vawtu8 of a particle increases, the accuracy in m2dvw.8zg c sa-u6mh+)ct mf)x bl j52teasuring 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 value o,n+3ub czcgn,f

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 ino)3m*f.o(p2gnu) 8 ldhk oy :rcadu5q teger 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 40q4hfe8w so ynumber can have any 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 number can have any integer value r7afo n*-jcfx x:+xh6p+uhu h3anging 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)qh6z2(so-ci *dq-t 87 t,cfipcyb k w 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 following is a possible quantum number for ntuv27r r4y),f, i o9*htcrpdy?

A. 0

B. 2

C. 4

D. 8

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12#

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If n = 5, which one of the fo-3 )nzk* bwecnllowing 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 hydro ;gsfprje0)vs1 ;mx evlolmq096i5. cgen 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 solutions only if the three quantum num6lso,.)ch 3d*2fn+oitbf )vy3 ekvdpbers $n$, $l$, 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 quantsn tw-ul+8v e s-fa/.fum 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 quantum6btesxj lgre9* t8f(, 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 selei ek;dxcw ;;4lk1w1 udgi3k* 0k rvaw5ction rule, when a photon is emitted or absorbed, transitions can only occur between state with values ofx 15 kk;c3ddw;w1 elui kw4vikg0*ar ; 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 neutral atom ijt3qo;2 yi 5 hwtait-6s 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 print:ca+g395y/4-hk nfehdpbx vciple.

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20#

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In terms of an atom's electron configuration, the letters K, Lp7o : phg25k*yoyzn sf2(g(: sour ix;, M, and N refer tsyr: hsx7 (5y ofu(2;gko:pn*i 2zpgoo

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 vqua7ldu51:i 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 e ;6pe ,e2e b3vo4celcof 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 per v24 kl0rbkm48ay 0wupgq +2jyiodic table that have completely filled shells or subshells are referred jb4rvm 0lyka2kw0p2q+4 y u8gto 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 whi5yju 4b 3orcak81o 4qnch lack one electron from a filled shell are referred to83qckoj5an4u 1y 4 bor 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 per1vfn5 yhs)l+ziodic table which have a single outer s electron are referrehf)s ln zv5y1+d 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 f vt+dxj50 sjc)or

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 addia6eo,o6 yz, botion to an object and a piece of photographic faob, o 6ez6yo,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 illuminated wit(vd tlg)cwis,g354/wfb 6xuth 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 st+cvseo+)rtp6k w(: l pace of about 0.110 n)v:+6e skc+l(wtprto m. 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 l*blka/x b+c5j a/,pdx .ra h3accuracy of /+,b cph.k l bxrj l53xada/a*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 6bcuwbxkh 7)wg i7l/6'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 speed 45.0 m/s, witgzv/c.fc kz4/ h the speed known to within 0.100%. What is the 4gf./v zkc/czminimum uncertainty 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 ab7;/ lr 6ee*khyse/ owvw d;g,l5s/lznout 0.500 eV. What is the uncertaintys,kngrhld s5wv/yeo7/6z l e*w l;;/e 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 known3+goicx )c7abk9vf k/ to be confined to a region of width 0.1 nm. What is an approximate expression for the lea c3k9+/ gvok)7ibfc xast 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 rj6v(sy2qxs+qy56 8es jyz f(nucleus 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 eosm0wp e,/m1vhe4;i 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 m+slt1 y6v6rf*4zlo y 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 t v;qidz u/ag 3qrl8-4whe $6h$ 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 qcw7vtnwcv1h ,n6 :8 jthe $6h$ 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 ndgd( .w)yqzw7*:lb;b(in jjl have?

A. 6

B. 7

C. 15

D. 98

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41#

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In a hydrogen atom, a given elen**zke(e:qf 0;ik fbmoftm30 6tcfv 3ctron 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 in how many differen(in6 z- :pa644fkdh:dee v nkrt quantum sz4 : (an:kn-f4h ev6dp id6ekrtates?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holding two electrons x;y0sf +bql/vin orbit. If one of the electrons has quantum f0/xbs vy;+l qnumbers ($n$, $l$, $m_l$, $m_s$) 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 w yl+md0)lmo s;ill 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 d somsh;+8x1 ol 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 electro7 tghv4fx wq6ej.j6d8pu.y r/n 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 configuratione*l2y v i9t:xg 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 configuration of xr b,nel, 4)8eq-klbvp1 dj6h $1s^22s^22p^6$. 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 confi8k kp lr;h8pj;guration for 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 metmyq 9dsu5/e7i al. The strongest peak is foundyi d/ m9q57sue for X-rays with 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-wavelength X-ray photon emitted in an X-ray tube subs8q2..ef3vfte; vk l- ,p wzlfject to 50 kV?kq v2;s.ff pl-ltz3e 8v,fe.w

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 to a lower one.y q5a 1jh;el-j/vvmfj ;1qa l; If the energy difference between the two levels is 1.8 qljf qe a; v;1jyam5hj v/l1-;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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