Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atom is directly proportionzrq3 ;4q4unnqwoqe 39ul; 5wkk;3qwqqq u3no5r;wlzen 494u al 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 Uncertainty Princ,t +s9d i.kqzyiple.

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3#

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The reason the position of a vl)2fyb 9lx9 4abude ui+p g86particle cannot be specified with infinite precision is8vig2dl6p 9+u ) uya4fexb9l b 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, theio 3adix7q/d-)(j cbt accuracy in measuring itsx3odc7)iqi(j/ -a t bd 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 e20 rsip: d(53pmcukcthe velocity of a particle increases, the accuracy in measuri0e3r2puki(:mc d c5p sng 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"9g+zkz2a l bh 2.gp*hk8 pl6bi 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 crb122nri+unh)g * le w5j,fgf3-src c an 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 ranging k;/j evk+ -tieq*h-ow 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 rang bbi+yksr5 f(2l j,fc6uvc3k8 ing 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 havl(:5dx hjeh18cwf) qqejky ;2e 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 1td;da9q o ayb8bw75g of the 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 following is not an allowed magnetic2 jt4tu2utf p,qkt8 ,a 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 quantvys5r7;.dvqpl x 3 jaq:t q:-pum 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 three quantum nuv:ubx3w0 x .rhmbers $n$, $l$, 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 quantu oiptw, 8 j8cf6- ldf)n7f,gjlm 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 quantumwqdj5vdisgw: ,fz 10. 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, whenvkv1vb+j3t0; x hy4o1 hu;svq a photon is emitted or absorbed, transitions cant40b;osv1v qvk y hv +13j;hux only occur between 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 neutral atom sz/oi g3y6.u7a kxlk; 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 exclufg34mz8b rs *ksion principle.

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20#

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In terms of an atom's electron configuration, the:hbztrisn ,rax))8n g mr9 41s letters K, L, M, and N refer to98 ts) 1m ai:rns4 brnrg),xzh

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 rykbt1wc83cqi b(g6n gtw5(, 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 setslg+wtsm:goqo g+)-7q yg 0 wq+ of 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 periodic table that have completely fil. 6w12mlqp6phwnph0l g t, h:xled shells or subshells are rehhgt: ,xmn10q hw. w6p26pllpferred 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 electron from a filled shell ,oatfa5 2j ok8are referred 2akfo8,tjao5 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 ou: (p rywd5i5 buwf*fm2ter s electron are referre r :5i*(pfuw2bd ymfw5d 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 fy*qudh i;wu-bu703. ct afq, zor

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 add 5qwc +s/aoup hv96q)pition to an object and a piece of photogwpo59+hqvspc / 6) quaraphic 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 beam of coherent light,q 3t-dh;b fg os al+x1ae(2kl, 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 space of about p22z) ,j8g/ xcogdm lfe5ih4a 0.110 nmmlj/4 a cd,oeif5h2pxg)g8 2z. 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/s lf3jf0p *ypa4lr5;dpis known to an accuracy of 1 part i0 ;d plf5fp*lj3p ra4yn $10^5$ (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 spiu 2ukzpz8wgh (pw+s+ 4kn: 9jeed 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 wu744xpsm6tvd v tz3jwsk rw6sp ,0n,3 ithin 0.100%. swnvjzrwv7sdxtkpt4 6p43 ,u0 m6s,3 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 of abohno 8 +l( s(8r7p vhl1n:iwbdzut 0.500 eV. What is the uncertainty in t l1hl s:zd(8n8 i rhp+7ovbnw(he 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 nm. What is an app+p k4 bfawa/l*roximate expresswl p/a b+k*af4ion 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 nucleus is about8n++ vk 4gfqgl (( e2bc,zz0om(xduzt $5.0 \times 10^{-15} \; m$. 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 thjs,j c hx:v )2xj+vz8re-k mk5e $6h$ 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 im*dy-o xpj0n; n 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 t x9vh( dx5,kkpfje/iy1z ,am+ he $6h$ 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 the(g7md+i0 r(em ojm1 xk $6h$ 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 hasf libzp c120.ue*a recj406os 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 l3iig r 4w;bn;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 4g-5aish i hl.how many different quantum stai h.h-l4sgi5ates?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state helium holding two electrons: b;cnlpwv+tv*, 5abs in orbit. If one of the electrons has quana;*pwlcnb ,b v :+ts5vtum 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#

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

How many electrons will fgki+ 5/ttcsi,7mb na-ddc/ 7sit 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 l forud67fpc t:x6 e+c *f3k4vtd uuzz9q1n 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 clchs0e(v8z(ke bq; l.onfiguration $1s^22s^22p^63s^23p^2$. 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 n(dr8q r17m) 1zfz mkscff6a7 $1s^22s^22p^63s^23p^2$. 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 c h6uqf6rs y62um4 zrj;onfiguration 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 2n0:ma ul4mgu 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. The strongesti*e9j1 q. ( hhhn,wqtc peak is found for X-rays with an energy of 66 keV. What is the atomiq(h9h * i,cwqt he.jn1c 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-r qn8*+j4ob1nos7wc vz ay photon emitted in an X-ray tube subject to 50sjqc+*7o 8bwz1 v4onn 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 electron jumps from a higher energy leiymj1u 99j n9mvel to a lower one. If the energy difference between the two levels is 1 j91yumm9jin9.8 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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