Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directz mps1fgj69lny+;da ;ly proportional ta gmj69y+l ;dp 1ns;fzo 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 Uncertaintyd 3 7zm,)/8rx2mlwf(gfva . auzaj*oa Principle.

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3#

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The reason the position of a particle cannb.uu lis,3 *vs 8-xogiot be specified with infinite precision ii i.,u3ovlx -ssu*gb 8s 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 increases, the acne zeu/0l6y()k5fg rrz8 qxknm2og9 /curacy ilnx9k2 y 0g //kq(uz5)f6 neo8zrgmern 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 measuro8qtp5 crn o,:fvi p50ing the velocity of a particle increases, the accuracy in measuring it 0:o5pto npvcrfq,i58s 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"d3yzt-3xxv v, 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 can have any integer value rang-y7jqk6p2c3.co1: n+ ih wvb vp2grd king 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 +ew go7ze:ck6-cqc0 r 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 inte m8*3yl0/ bfv;q+trcpf( dxy rger 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 values xg/zu95:kza2yr 3y o dof

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 quapx,rk n 5yq.-antum 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 gv f6vaf;:9ev 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 quantumca-:bd(fuw,h( ds/ifzni70j 2j ,6 yt9jcdw j 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 solution7ddxtr-p8+9m r-;yh 0okwcbr s 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 q j +i:/nn9utoyuantum 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 numbenpw,cl6,6gnp 8b;erf l:ws e )a23cssrs ($n$, $l$, $m_l$, $m_s$) 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 ph- 8+m0 amdslcy5cei /aoton is emitted or absorbed, transitions can only occur between state with values of l thsmedi -5+ ma/0 8layccat 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 ato)ibap)7/ efk5htuf 3fm 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 ,48s*a nz*yfz ) ha*-zp9 oemyc nj/zlprinciple.

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20#

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In terms of an atom's electron configuration, the letters K, L, M, andsn bclokl cs83f8n fs v,*48(c N refer t4cs 8kf (3ofnslcvs8b8, l nc*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 number of elecqvqx: )csu +3itrons 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 t; 8b/cdnf 4gkfhere 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 tazt re1);5mc enble that have completely filled shells or subshells are referzn;e15 c m)terred 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 electr40xfcgta z l7zzny- 98on from a filled shell are lzfzcn8g -4xyt0a 97zreferred 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 havv i s/iun5g6hb3zx81hzqc q*7e a single outer s electron are referred tih un16 q *8zs/c75zihxb3qgvo 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 acronymrme1r 2eked 9+ 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 hologram, one needs, in addition to an onr.td4/scxy-4vni .w bject and a piece of photographic fil -nw/cr.4i v.t4snyxd m,

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 coher5hu k31ney gzof+g- g 9-gtf aqa)m.:k.hci+oent 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 f8u3fn:6 yqddi3f q2ato within a space of about 0.110 nm. If thfuid2 3fny3 : 68qfadqe 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/,2wn7vw;h pe*7a bhg ks is known to an accuracy ofwv2 k bhgpw7,h; a7e*n 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's speel xq 8n*k-j:edrndt+/d 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, r ip*( 0 3sl88vyjiqasf3i8mxwith the speed known to within 0.100%i88303sipfa8 vs mji*qxry (l. What 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 o6)nj g k)f7od o,.xjgxf about 0.500 eV. What is the uncertainty in the life-time of the levelxfo)njj,7g)6g . odx k?

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-o0cr 3muw fkp+by0a.fj9n+ k. What is an approximate expression for the least kinetic enfu kyw 90r anopc.fmk+-3+bj0ergy 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 nucleus is about til rc)goqw(;4b6s a1- rr9oz $5.0 \times 10^{-15} \; m$. 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 th -a+rj:c 1snsg+dgk s;e $6h$ 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 thh,(m p wv p/e7o0fzq(me $6h$ 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 *zr,t3jonaekvg0e 7 4 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 mkx7*n ccxo 2( )ko4+znprt4wthe $6h$ 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 electrom 2dy6p//jrdd4n+yzcgm n0e 1n has n = 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 = /6sge v4m 2ccx7. 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 d qt-1j5ev l63vt/; 1 x/cwbwjgoumj/ )fhx9d different quantum state1xvjhldwu jt w3m1-b/ 5dg9/);tfo/qex6vcjs?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-statednz9l8 w:j;y h.m 8(yr8q9q4ctmy no v helium holding two electrons in orbit. If one of the electrlo8:8njrv(4dmm8;t n 9ycw.yhz qyq9ons has quantum 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: xwyp(:vvem;brc .u. 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 llw+ pdyr;4 u3q 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 electron configuratba r *ze9whq+*t i1np- 9q6zymion $1s^22s^22p^63s^23p^2$. 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 cokos4w jvudt+dx;;65 lnfiguration 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 e o34ka2tgs8 *bl hu)nhlectron 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 for Li which has three ax0i6rwr 9sjr6* 6fm1o xw6x velectrons?

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 bombrn234 lt9q,oddpdiw:uhn-h bp- l:q 4ard an unknown metal. The strongest peak is found for Xd hp3t- ,idl hlb-4 dn:pn2o49uq q:wr-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 x3;3ua4a5gkfcl y4ly -ray tube subject to 50 kV?a5agklcf4yx 3l3 u4;y

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 gh-:w9 ag3ro,(wi gw wfrom 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 emitted phww3iahr,w (o- 9wggg :oton?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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