Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen agh8 ilo.v zkx: w1/u4 mkrorv/90e 3qdtom is directly proportional to iw/i. e 03hlqx m81zr:orkgv/udov94kts

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 Uchm *o w4*6g5m6)o3tlrwc j jv2y yle.ncertainty Principle.

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3#

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The reason the position of a particle cannot be specified with infinitebb y,y;f6gi,9 ka)ilb precision iy,bgiki,y l6 af;b9b )s 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 )pdjwb(, k5 h0rxzy4xincreases, the accuracy in measuring d5,kb x(zxj4 hw0 )rypits 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 vel-w ;0ao0l mt5i9ly c(o9w5 u xdfpu/rlocity of a particle increases, the accuracy in measuring itp/ci uxla;wl(r o595 f0oul wd -0my9ts 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" has6+q96ytts y+vy8eb:bm p , vte 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 ranging f+r0rh; ,bapqa rom

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 integeot w1:imu qor6wp0z386h z) mhr 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 apvf:b/v f-u2y) ;acxj,at ;wc2c)nm cny 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 numberyz /*cufhre2 6 can 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 a possibl/ru erqx:/d a8wz/ 4ui ji n1)rp)wrk9e 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 l)ijk*jaf* v:k:)nuethe following 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 hydrogen has solutions only if the three quantuk c-5(y2h y:xqkdy9h n27 lbamm 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 jjcmr7mn4;254txt zs olutions 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+e8d qe 702-zv *ox-hkuy5xlufq6x 4p dopf1 g hydrogen 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 quantum e,,7d+a xjqgt 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 iso+z0 o ;dgcms+w jm/-p :v3smz03ba em-r8jb n emitted or absorbed, transitions can only occur between state with values of l that differ bmp03/gm c+ e-: j0m vnzza8bmo+jr-o; s3bdsw y

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 v3 .lj)j/axw2)k ijo mis 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 exclu cmbh2 o8 ilz-k801kvjsion principle.

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20#

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In terms of an atom's electron configuration, tj a5)-ju *lh8wwvi/e+ i9cajuhe letters K, L, M, and N refer tuw-c*i)j+j wih l9ueja5/ v8 ao

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 owq8, -0u2rvg , yxrvbbi hec5:f electrons 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*i2hb5y 7zyiif 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 perf 73:f(rcvej4nvnz h 7iodic table that have completely filled shells or subshells are referred to zf h7:7(n r3 fjevcn4vas

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 whici,u6m:wpvk 8x 04xpde h lack one electron from a filled shell are referred to ,udwemv04xi8 ppk :6xas

A. noble gases.

B. halogens.

C. alkali metals.

D. transition elements.

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25#

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The elements in the +ah7 tm;rtehtp j5a: wzci0493u)bfru*bqt 2 periodic table which have a single outer s electron are refe +wh ai2etu qj45th c3*bu0) :t 9rbfmzpr7;tarred 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 *w gm:x .43fcuwln:k6ggm *wt 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 t r/ zfi1*i2doio an object and a piece *iioi2rf/dz 1of 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 illuminatedlz-5yoqjav6: ijw4r1 with 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 f3g8bd 2bkum+34s xlf rhg/rj 667tfkis confined to within a space of about 0.110 nm. If tk 8s m4x6f7/r tl3+f b6fugk3hb2gjdrhe 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 fr)e),m zv 58r(edxjk0;floctraveling 2000 m/s is known to an accuracy of 1 part inlc )rd5 e(vrx0fo ;fz,8me)kj $10^5$ (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 1 3le(cujhqim 6,w 5rxspeed 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 gxfzw9c4 r1by 6x)n-m g and speed 45.0 m/s, with the speed known to within 0.100%. What is thefwz 14m)ycx- 9b r6ngx 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 eV. W9;i b3jup cua*hat is the uncertainty in u3pi9;uc*ab jthe 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 regio-9+hd8v uolor n byyq l-*3vh4n of width 0.1 nm. What is an approximate expression for the least kinetic energy it could h8hvn-rv 4dh3*ulooyy b q9l-+ ave, 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 st rq-kudsy0 u8* rfwa(55v4f$5.0 \times 10^{-15} \; m$. 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 1vkfrgmgp( 2l,uq.ez,01 e guthe $6h$ 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 t v 4w3ec )en6 ecq5w fs71i0x+8qnakkche $6h$ 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 ze5d 5iwo /d- 3qtzo5.srm.gr 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 th;kn85vme so h.6g 3vtoe $6h$ 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 valuesg9l.hobbnw25 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 valueot (,o0p9cbia7 hy fo/s 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 i+, l cep ar;ugu 4x6vpf9sj*g ;evd97mn how many different quantummvgp* s 9;xr9fld+7agp c euj,4;vue6 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 one of y -x6nug t846tqf:xao the electrons has qua8gq: f6n otu-a xyx64tntum 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 into 0dmr hla6n 7ze nog8.7 xy0rl.a $4f$ sub shell?

A. 3

B. 4

C. 7

D. 14

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Mark Problem

45#

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

The values of n and l forvrec;8p4iaa,s 4 p+* n(0y/zj wuudlq 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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Mark Problem

46#

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A neutral atom has electron confi79ghybjj/.* bxsx9 ryde2l/ kguration $1s^22s^22p^63s^23p^2$. What element is this?

A. carbon

B. nitrogen

C. silicon

D. germanium

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Mark Problem

47#

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

A neutral atom has an electron confvs3tt(h47a 3c3fahn miguration 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 configuration of 1(.ef e 1hsomc$1s^22s^22p^6$. 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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Mark Problem

49#

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What is the electron coe4d95b g8jqu anfiguration 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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Mark Problem

50#

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

High-energy photons are used to bombard qz9ou/ l1c sjc7nz;8 --hkd vban unknown metal. The strongest peak is found foj ;co zn/1 -qs-bzhu97c8dlk vr 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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Mark Problem

51#

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What is the shortest-wavelengtf fs1i(yne2 )c dy4w2lh X-ray photon emitted in an X-ray tube subject to 50 k4i(fedy1)2lc 2 snfw yV?

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 7l*hzfzdf- l, jumps from a higher energy level to a lower one. If the energy difference between the two levels isl dz ,l*7f-zhf 1.8 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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