Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron r8 em;)xxstrrs..kzqfhas6 n ,e:/w,in a hydrogen atom is directly proportional8 ; a).sxrez,xfr/hnrwmek6q. :ts ,s 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 Principlelwka)p:w*5tt 57qn hzf9i)mh.

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3#

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The reason the position of a particle cannot be specified with infinite precisiel: 8d v1ot2idt )6g5+badggpon is theadibg:d 5)g+dptg8 2lvt1 6oe

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 positio*tlp kd1jt6cm: q8-mh n of a particle increases, the accuracy in measuring its velocity will: h lm 6j-t*d8qkp1mtc

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 particl 0 hcph wt:dg4/unw : t/j6/5u4ibtpmxe increases, the accuracy in measuring its positio4b mcdp/wpnh iw 0/gu/xjtt 46 h:ut5:n 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 value ot+dh8vo lkzvy(,gr58s6x u82fkp fm7f

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 nue/ims:a0 a:gil *;tdmmber can 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 iwro5 5462o/n+ztkfejkd* wg s 3nkro/nteger 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 ranging from3-/arym rq4 vb

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 o5k9qzp7secekv)u3wm0s 5jqm: l i3)- yr.rdgf

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 oh7ob )vekf):1xo0w6 ca pu fx+f 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 zv,wl4bu)7d l 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 hydr cnft8s8f ph8yew5.8h ogen 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 uomh. r x)/ ye a09tifuc8.b)zhas 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 hydrfbpvbqh285. nwt woa)kptj4)d t7.u ;ogen 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 numbers2px5ax; *hh yv ($n$, $l$, $m_l$, $m_s$) 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 rul3-l o b2*bvisge, when a photon is emitted or absorbed, transitions can only occur between state with value ls2vb -3g*ibos 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 i /pd/qbvuf(; ny wt-.hn a neutral 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 exclusion principley 8fyc/z4lnnk 6ng 6 ;fr-wx-o.

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20#

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In terms of an atom's electron configuration, the letters K, L, M, and N refer t.mx b,vfoxk;i-6/yojpaf e; 7 oxo.vkm,6 f;yi-a7xb/ ;oejfp

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 numbei)cvbqaxs0*5mop3s u-p9 m6tr of 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 of qch 3wyj78dgx+kme8 0s txr hsqc.9e,9uantum 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 filled shells o5eanbxqlie h)e 1fd)1 bz0xh t5c*cr:4 0jv,er subshells5dzx4hhfi) j5le:1 0)etb*cx1ve crnqa0be , are referred 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 fillikmdsbz/s*2uo3a4n h;, 5e2x)nqi wb ed shell are referred to as d; 3 knsb nuawzoh/exqib5 *242,si)m

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 w i0ttgs6zm *e7no 4;vwhich have a single outer s electron are referred zv img*t w0;s47 n6eotto 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 1xunopo688y9d3 d 2ypz ,tquqfor

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 / )-:ttk lupbzneeds, in addition to an object and a piece of photographic zupt:b t-l)/kfilm,

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 li8 9/cl n+8xiq3clvas9 rln bt/ght, 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 hvcq2szlz: qwr m su0tui8mv37n. 8.e:jk./ gxydrogen atom is confined to within a space of about 0.110 nm. Ifeq37c m8m:jgw z8vs ri.t2ux.nv.:s 0q/zl uk 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 is known to an accu dg1vmhg6u 2fbk,0y 7fracy of 1 par6uf 2fdmbk h,71ggy 0vt 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 x.eps8i*b2 d6 y7*r rc9 p5/ntexstca electron'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 (mdfw -3 6yu;poxwot;the speed known to within 0.100%. What is the minimum uncertainty iw omowu3; x(;t yp6-fdn 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 ab/i.fw onw+ u;fout 0.500 eV. What is the uncertainty in the li ww;f.ui/+ ofnfe-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 b*q/n /7 gvbxsa region of width 0.1 nm. What is an approximate expression for the least kin* bn/7qgbvsx /etic 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 z hy/g g3p.*djwk8q*gabout $5.0 \times 10^{-15} \; m$. 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 8p x+tv35bu 7csv bqy198ngzdthe $6h$ 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 th)tq5*kxh 6yd*en2 z hue $6h$ 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 trjn)1 j8wopzf:/g rm /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 i:i y8j vevup2jhk 7 g:-i3;fpnn the $6h$ 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 manc av;3o(idga02 ge 6lpy 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 valule, g0a n14ogmes 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 elect;u2ehlv.g-xu6c kut* ; *tvjj ron with n = 7 can exist in how many different quantum stx-;tuukg; evv 2l.t*chj uj6*ates?

A. 6

B. 7

C. 15

D. 98

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43#

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Consider ground-state yg1gbz7l w+r +4g1mwahelium holding two electrons in orbit. If one of the electrons has q g4wr1w yzga+b+l 1mg7uantum 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 wil cxvg7 t9:la6wl 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 loz n8(e,1 c:ty2 ofltv 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 confic flg3am* f1 6n5+zytqguration $1s^22s^22p^63s^23p^2$. 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 a(ekmzoi s 7j83n electron configuration 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 configuratixa2kdhch -7:yon 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 ::tv8l5;t iops prnw,-xqnj 6*,kj sp 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 strpxa,fjs57v nco ;r6hr+7 1g zqongest peak is found for X-rays with an energy of 66 keV. What is the atomic numb+; pvxjc,f7z g16o rs n75rqhaer 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-ray tube 4slf ypq5r dh:/q dsr/++vlv+subject to 50 q 4/v+rh:fldps/v5dry +sql+ 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 level 3vnjf9sk4m *br -8siy gt ph:(to a lower one. If the energy difference between the two levels is 1.8 eV, wha49i h (sg:ntkj38 - mrv*sbfpyt is the wavelength of the emitted photon?

A. $469 \; nm$

B. $649 \; nm$

C. $694 \; nm$

D. $964 \; nm$

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