Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directly proporti+s vqqd wkw3g: p cx26fy.q* :dkdo8k+ona:oqsgkp6*qkf dyk+ w 8dcw.v+dx2q 3: l 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 U*/weceu*s7c ge gk d,2n3l w3sncertainty Principle.

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3#

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The reason the position of a particle : jprfn2 2;1 cuz-ih 4bg0whnkcannot be specified with infinite precisiounbr:kf 0;ch4 p gnj1-2 hwzi2n 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 toppbw j 9+a6zr:(e) yzhe position of a particle increases, the accuracy in measuwpb ap9zezy )jo :6r(+ring 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 m bymr1yrr ; 5 6fqymumdz49 60q(gr*obeasuring the velocity of a particle increases, the accuracy in mem9g5q61;rmy yfr rbb( mdouz60r 4 *qyasuring 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 valm k0z xugrurn8b61k) y32 .hb4uk pzq(ue 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 nutec2b xmqt2 2a8y)c.imber can 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 value rangg/y ,h onx-+u8o -hicling 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 a kb2oinnv5 y)0ny 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 vc)j 5ff.i3wq et5)2wmnhh2 g 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 following is toz2qpbf:j1 z)5wi+b 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 quantum n)fba9 c (/jencumber?

A. 0

B. 2

C. 4

D. 5

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13#

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The wave equation for hydrogen has solxlu9m 52l zp5rutions 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 thrvh:y.e5 6a;sgpw6a sgee 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 hydrogeo,qg /lodd:usvh5b/hv qqjg w83r) 4 +n 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 quantulwik i+ q3v;w+ t.b)lpm 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 isgbs5kg3yvt n( -/z6pf emitted or absorbed, transitions can only occur between state with values of 3-pys(nzfvk56 /tg bgl 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 isl.n2l;uz6bfl84n .zuq l8m)8nq tnvr 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 pri paipw ol-h9.5nciple.

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20#

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In terms of an atom's electron configuration, the letters K, L, M, and N r /l,9gkx:po v a4hsw8refer ts9gok4a,vp w8x/:hl ro

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 thattv v75* xhh-cb 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 ee9i+r( dc,*ikdhly ;d lectron 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 completzox 3b rbd63 sq7dhcw.cn 25s8v+5lsrd;gy;d ely filled shells or subshells are referred t5ycr8g3dh 7dlsds bq ; v+s53d2bonc; .zwr6x o 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 periodiu013i s/l ch:b 5tyiya 6vuh0ec table which lack one electron from a filled shell are referiaey6v0u s:yi l5c/htbu3h01red 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 c iic r/p+f;u c*(rua*a single outer s electron are referr;r*ifc*u/cpr(i c a+u ed 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 acrob;x roodbqw -r/0i)o.(k. qcknym 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 hf+uv6l /mjp-h4og h7)gbj +ngologram, one needs, in addition to an object and a piece of photographic fi7/ b-+ongjh+pggvhj6 lum f4)lm,

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 of coherent light, it k04qps dhi ,;qproduces

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 sq7cm-xuy ;+i2 dg66 y ez8casepace of about 0.110 nm. x6 + eseyczd-2iug 78q6yacm; 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/2sth nr(m:xh4*p*t 6brl7y co s is known to an accuracy of 1 part int*27hrylm sp*r6bxchto:( 4 n $10^5$ (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 is5oh nbz)5og zq :ovq52/rm4) ledy2iw $2.0 \times 10^6 \; m/s$ 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, wi2pz r, (fi*pnol+ol0ath the speed known to within 0.100%. What(0 p2*nz lp ora+,loif is the minimum 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 about 0.500 ew ml92 cmyn/x4V. What is thnlcm mx9 4w2/ye uncertainty 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 of width 0.1 lspve + +uc/n9nm. What is an approxima/ln9e+c s vp+ute expression for the 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 nhgb*.7c j1q(w/x54z pkznb o jucleus 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 tk, 8p jq3ajs 9ju8)tmihe $6h$ 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 :t4fbo7b vrogmbn vnb32264 l 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 qi 1wbq:,a ,8paf wdv(the $6h$ 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 invso7)br0imeo t (;zu 9 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. Hems6eq:u-gl5 e(rn a- /3twebow 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 n j4usc 46j*,-kg3s dcbcssp 3.7jdvavalues 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 diffoo2( v4zmmvh3 erent quantum state2vmo3h4 v zm(os?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state heluq*;ww*iuy f a z0bjgi8 3,u:hium holding two electrons in orbit. If one of the electrons has quantum numbu g3iwjy8*:,a0quu*fi hbwz; ers ($n$, $l$, $m_l$, $m_s$) 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 fit in3 d)t9i hv4 k6;atiwx y*i+mikto 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 ubdqx83bt(6x0k c an1 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 electronq8 nb3ol:pj s8ku1r0ehh ey3hzf0,u 4 configuration $1s^22s^22p^63s^23p^2$. What element is this?

A. carbon

B. nitrogen

C. silicon

D. germanium

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47#

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

A neutral atom has an electron configur i7yfe9ahp;*hfztw)b+s zma;, ts 90 zation 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 )uv n ,ktrr(5w jp7yh*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#

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

What is the electron configuration for Lj eas)o; *4dsjj *tx6mi which has three electrons?

A. $1s^3$

B. $1s^12s^2$

C. $1s^22s^1$

D. $1s^21p^1$

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50#

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

High-energy photons are used to bombard an unknown metal. Theihpw r.r,5jf wqg*); ;rg7hqk strongest peak is found for X-rays with an energy of 66 keV. What is the atom ji75;h qrpr)wg.q;, rkfhg* wic 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+e- e,5j j iz;p7sblan-ray tube subject to 50 e;bp+,z7 n -a5ilejsj 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 ele.bj )2,7 qzik swcyyo5gox4j6ctron jumps from a higher energy level to a lower one. If the energy difference between the two levels is 1.8 eV, what is the waveljxz,oy ic) o qbg 4j2y7sk5.6wength of the emitted photon?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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