Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogenlhruakxxl, 4 l9r+ ycu*6+yj- atom is directly proportional to +* ylxlkr y,u+hr9c 64u-jlxa 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 Uncerta;mrguy if i/7kj *d*c*inty Principle.

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3#

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The reason the position of a particle cannot be specified with infinite preci2g/sf z k yqc 64xsdq14xij*o,sion iz4jcxid/*f6q, s41 xo2gs yqks 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 mh5 wq6obnv-,of a particle increases, the accuracy in measuring its velocity will -how nbvq56m,

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 ackics/cv -w:q9.5dz /qxju;w particle increases, the accuracy in measuring its :-;uqwz x9./vc5ws icdqkc/jposition 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"b(j; g lny4- h662hsd3pz:wv z4gblqk has a 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 k(rsm+(fm1r ican 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 have8fz n+a y(vav+l4d3 x oomwh*7 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 rangy v.;jwzv1( duu7 g1m te.)v*vcpia+ming 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 ha rr9wlu4t*6+ nfnc o9,jgh;epve 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 p;onw8v7gbkqu:l s o*)1ppd0 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 i0 x41j*c0rhdxubsc7 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 quantul2o;1;wo* dfmgc5 nh, q9npxym 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 solutionspqmn )z3q+9uzdlm2: izw h:45sm1 q cy 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 qpd dg/os lri3zx11il z: l)77luantum 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 quzc) qexw8sstg7 p -z4m;wzi 14antum 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 selecrgu 0 /i)imw7x4ka f1etion rule, when a photon is emitted or absorbed, transitions can only occur between state with values of l that diffi wa)m4 ki0ef7 1xugr/er 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 is c/gqzqhq )95 4wv,q ricalled 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 princi2( 9cgt mclz/hc:w/h eple.

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20#

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In terms of an atom's electron configuration, the:;ei)*uwu uenlf;/. i x 2pkvo,trmk5 letters K, L, M, and N refer toti : u) *nm;lvekuf e;r. xwoki2/u5p,

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 that can occupy thelme vxr2a+ ;ww) k)2qg $g$ 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 6:3jw:jhn9iql 5qufl 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 pm mqlmhwsk hti;eo6*;* : 4*oqeriodic table that have completely filled shells or subshells are rei e**kh;mlqm o6h mq: 4ws;ot*ferred 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 lack one em7jv kkf )o1,ulectron from a filled shell are r ) ofm17,kjkvueferred 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 a single v /poku(a clk tx)u8:mm-;o5w outer s electron are referred to a 5 pxmm-)u alo(:wo; uk/8vtkcs

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 acronymd/uwc0 ,ftkbf (48rpo 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 holn7vjj;w2ko/2g hsd 0 cogram, one needs, in addition to an object and a piece ofs ;k jv7 2go/02njwhcd photographic 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 /ihu zzw * 15t/bjb1zybeam 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 s6-xdxw73 ohh xpace of about 0.110 nm. 73dx- ow h6xxhIf 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 2000obsy l;imo7vv a2a:9 -e9gi7 gd gy7,n m/s is known to an accuracy of 1 pa;glvs 7i,b2moiod9av7ey: 9n yg-7g art 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'9.d1) cpr mr6pz9qfm gs 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(tf9puhr ,+xyk v + em4lp2)og 45.0 m/s, with the speed known to within 0.100%. What is the minimum uncertainty rulk4y v m) p(fp,o2 +ehg9xt+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 0.507 ul/eepaf3ze2ox, .k 0 eV. What is the uncertainty in the life-time of the lev.o/ alk,7 peufe 2xe3zel?

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. job67g,xmhqso wk8;l -bcz39xsp *k oq8b6c7 What is an approximate expression for the least kinetic energy i39;x77ogb hb pk,6m ol b8s-ojx cqkc*6s8qwzt 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 nucleuf 0z1anoiz18 as 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.s/ dqbtrpc8oq .: :r:cs-ur v $6h$ state. Determine the principal quantum number.

A. 0

B. 5

C. 6

D. 7

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37#

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

A hydrogen atom is in thvjk + k- tj i;erf4m5m,hy*sj)56scice $6h$ 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 ine jg5*cn8j4* j s-d ze.1xuvppb)o6j f 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 in t z9hose:si9d 1he $6h$ 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 6:n db1rp6kexzlx*5,h1n lsq = 7. 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 = 7. How many u/i f9b*m ,kz-z;a0pt, zgoodvalues 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 dif4nk *vs/kg gm07af69ik fm tf,ferent quantum6k90f4t,n m/kfa kf* vmisg 7g states?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holding two electrons in orbit. If onocm)p;p ;my 6pe of the electrons has quano;c;6mm ppp) ytum 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 fit in+c; l3fazi ;lqq:sr 1gto 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 ala+3 ui; f-syu $4f$ 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 eleqpnsbw 3*o 2x4ek m9rth9 30ynctron 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 configuration of 6g91i tg s 7xkfkiq3po,r:y0j $1s^22s^22p^63s^23p^2$. 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 any. ib+re z04gcv.h1jv 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#

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What is the electron configuration fo3lhb:x 76 v nbga-e+hwr 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 metal. Themdl1 kn 4(h:5uarvbn)i .l6um strongest peak is found for X-rays with an energy of 66 keV. What is the at mar vhm)ul56(1d:u nibl.4n komic 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 anj0 ojfz q.m/*y8ebgd *37kmqb X-ray tube subject to 50kde0 *jbjq*z. ob gymqfm 387/ 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 eleclv53+ 6 gpgcm l,ccz.e*kfhl;tron 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 wavelength of the 35ll +vlp fh;*c. kcm,gc6gzeemitted photon?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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