Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is direfta q+ mxxy24 i4bk7u+ctly proportional to iti yx+72m4akxuf4+ bq ts

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 Uncertainty Princie nf(4u(hznj;fj/drp f 919r iple.

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3#

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The reason the position of a particle cannohk3 urq,7fj z1(tk r1dt be specified with infinite precision ( rdk h1jtkqr371zuf,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 the *aro tz:w+rk k2og0,xposition of a particle increases, the accuracy in measuor2ot rk 0+ x:wagzk,*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 measuring the velocity of a parti) cjjdpf/2i*co/; yub cle increases, the accuracy i; d)/fbjy 2 j/piucco*n measuring 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 value5(b hv;f+:s u xuezo9s*e*lgy 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 acg.fb *h8 t9df2x4uwrm5bv4e ny 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 nuf;u w8ldum+6zmber 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 ranginobg2y6avc62c 2;n)i kf gg6g8o 6qnxv g 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 hav. 4 fj6 dlra4uzupm8t,e 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 th.8ge u7m6nev xe following is 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 followingr(np 1z: bj9mhip,j+o i5q t1f 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 hydrogenco tun qq, 0/-/o 7l u7ig+m4hdkmny3f 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 has2w ltlo b)7cv0ed 0s*h solutions 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 quantum nu)f w+hifm w81e(hk6uu mbers $n$, $l$, 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 number)fo ae0a8edj 9s ($n$, $l$, $m_l$, $m_s$) 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, wh f;mdkl26kgg0ipp7 w6en a photon is emitted or absorbed, transitions can only occur betwg6kfk6pw0igp l2;7m d een state with values of 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 4 ge8xy)c4f*z zahp -vneutral atom 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 exclus,y -m.bzwzns) ion principle.

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20#

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In terms of an atom's electron configur6u. o w3udu1ynation, the letters K, L, M, and N refer toou1duu6w3 ny .

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 o (,suonz 6kn.i2 /3l nawekjw8ccupy 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 sta6p:egr *lsx,ttes 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 completely filled shells or qn :d:r1 ccfe)subshells are referred tocn)cr: e f:d1q 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 electron from a filled sheue ib0yu 7z9n35 atx4bll are referred to 43 u 0 yt79b5bxniazueas

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 outer s electron are r i jt-m zm(27;l0 sa7w(xisyyveferrey77(2av sy lm zxi;-sm(jiw0td 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 for9t)a:h2m ce-amc9 ms x

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 hologrgcvf1 ftaf (/hnf*n1 .am, one needs, in addition to an object and a piece of photographic fil 1g f*fnvacff1(t/.hn 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 coherent light, it produceh7 cyq 1jk*yyv6-rdxq9rt b3: s

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 space s/: zdol 6-jdz-2te eoof about 0.110 nm. If the electron mass is zo62ld z:-o d /stej-e$9.11 \times 10^{-31} \; kg$, 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 24 fubfty r*(; ph6wes4000 m/s is known to an accuracy oswfy fbu44 ;*prh6e (tf 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 u xb7() yb njqee0y,y9electron'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, with the speed known to within 0gheblb u+2 9*jq8r/ze.100%. What is the minimum uncertainty in the position of the ba+8/ ejge9b* b2quhzlrseball?

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 unc0 vhdj(zpo/c* o31dfb ertainty of about 0.500 eV. What is the unc*jvc3z1df ohd/pb ( o0ertainty 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 wid6ah j-ir0mnh2th 0.1 nm. What is an approximatea2r-jnh60 hi m 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 nucleuqi5ai fa4p1o ,s 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 i.9z(b0joh7epp q,o )fdt 1ksthe $6h$ 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 tej0v4,si1, xcpzq uiy88ekc 6he $6h$ 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 thehdsvap(8v glht0ic 2;/1gm,p $6h$ 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.zku5y0gbu chx+lddar*x 7 8 c yr(9q)e $6h$ 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 l h(9cg p;r1 swbknta( 7save?

A. 6

B. 7

C. 15

D. 98

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41#

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

In a hydrogen atom, a giveb9 cmt xrnhw t ,.vqj/)7ee6.un electron 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 differ; 0(ied kkhn+ox7.qpaent quantda;0q pkxe7k (i+ho.n um 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. zda 6v/,7lvbmr7y1 9ztu;xid9 xy3br If one of the electronx 1b7/xr iru;vy69yldtm,d39v7bzza s 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:ha1 h6 cvivu1v kf/8dt;c jz, 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 l7 jjqzshuxze-; :gil3.d js(: 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 configurati2a*t1c mf4athon $1s^22s^22p^63s^23p^2$. 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 conm c8s p,zyc7;*znfr9z4 a6zzrfiguration 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 ofo,t7/ lac1syrggycwxo,m2 /3 $1s^22s^22p^6$. 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 te xi,t a8g46tnz-t* rmhree 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 2ip2ms )o-vef*ju g .5pop 4gibombard an unknown metal. The strongest peak is found for X-rays with an energy of 66 keV. What is thifepi. g *ppo 2)sug-2v45omje 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-wav 85h;ww x rj15,n,5peflrskk lelength X-ray photon emitted in an X-ray tube subject tol w5k5hsrw, 8jp1rknle,;f 5x 50 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 electron jumps from a higher energy qz2 /qt lym,4olevel to a lower one. If the en/ om, 2qy4ztlqergy difference between the two levels is 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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