Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electrbsi2 jj3 fc9i3on in a hydrogen atom is directly proportional3ij92ci3fjb 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 Principgk3 hdtyyh:52yok4 /vle.

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3#

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The reason the position of a particle can5qhbt /ngv 89knot be specified with infinite precision i vhk q85g9t/bns 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 increa8qq5c y7p ye(pses, the accuracy in measuring y5qpq(e 8 cpy7its 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 particle increa4 ,i,ii;erw)hr- ph pjses, the accuracy in measuring its ph-e r;rj)ii i4wp ,,phosition 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 *br ef n74tlv3a 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 quantum90rftv zi92ssa)kjcm6 zv.u6 number 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 integer value ranga9omoy-(oo8 :zo-x7 ;yympyah 1z a/ sing 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 frommmt59;omhv ;i

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 ofx ey9q3x(jil3

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 por0ncj.dfl; /b7t7db gssible 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 magv ,30e2r pmxi 4s (yzdnf mhg:wwdb-(7netic 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 quantumt5v5 +qcbf bg1 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 sol rhuooo w7r t7w(1(gqcx ::xmz0e5o* rutions 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 covb).mm6-c squantum 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 numbers-v0obavejoe(*g-:o:i pu 4 be ($n$, $l$, $m_l$, $m_s$) 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 is emitted or a fuq1zu 2w4*wzbsorbed, transitions can only ocuz4z*w 1wu 2fqcur 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 obz6 j t(lh v)ubnt678 zcf;*eatom 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 princ.st (l0mwf m5piple.

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20#

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In terms of an atom's e/by 6 5z zyz nfuktfp(tcg/e7tiq;*42lectron configuration, the letters K, L, M, and N refer toi 6/*yqeugttzk 2y (b /n;5z 7pcffzt4

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 tq3nfw -j *ykn.hat 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 setsq)si3lfd/p .vls v,1a 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 r+wbni-vw3+onvz6q t2u /f u7;bto 7g table that have completely filled shells or subshells are referred to as7to+t;of n/ 3ww2nri qv-u g7zb+u6bv

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 ta qtlr(i qk1*6m*pynw -ble which lack one electron from a filled shell a *qi-yklq(m1t *rpw6 nre referred 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 ra7sjld8yk.rm l72o *periodic table which have a single outer s electron are referred to kd o7yr. l2j7 *m8salras

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 aca q,3db3cr8kr ronym 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 additu. hxw2ux u*pwx72 9ibxe p)+wion to an object and a piece pw xue uh)ww7x 2.p 29+*xibuxof 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 illuminat5 rn ( lxqgh9r*thj,o3ed 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 ht3ou7n 1ay 2jzo* /doatom is confined to within a space of about 0.110 nm. If the electrond7ztou/2 3j *a1oyohn 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 accurat f:7pcyy lyy+h: 885t) -ylslb(pu xacy of 1yt7y 5:sy8:cpb8l )l uf-ya xp+th(ly 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 speed i- 15;4b jb+jrw (jyfvbruzyt. s $2.0 \times 10^6 \; m/s$ 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 spee, nuucxxa+ ++nd known to within 0.100%. What is the minimum uncertainty innx unc++ x+ua, 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 oa8wxt5cf.vk )u vs,/lf about 0.500 eV. What is the uncertainty in the./5su,k tcfva8wlx)v 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 appwya4/u, ti7hd t8(jlwroximate expression for the least kinetic energy it could have, in eV?i4aw/,tuhw(l dt8 y7j

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 jsb * .xs0hvsn(+s cm9, aqlh,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 t(h sa6u4ln/l ahe $6h$ 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 i:lnf za) tv 5 mq1/72mqbxkmh0n 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 s)wz us7a greh(6 gaup/)6 i-ythe $6h$ 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 th7/;typuo( kqe 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 given3*hkaiki ;dx(:8z)yet eixp - electron 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 hasfwzb/ 8j +ohpm97eh0h 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 different surs ,1/bn5ai ,l. rhxquantum statx ub5i1rhs asn l/,.,res?

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 8jrvt wmdki71 ba 8jmc9vc2.ff 4 q53bone of the electrons has quantum numbwc 49bq r5j m3aj7ctvf28 k.vf1imd8bers ($n$, $l$, $m_l$, $m_s$) 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 :.0k+ fe2xxw:tsnxjoa $4f$ sub shell?

A. 3

B. 4

C. 7

D. 14

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45#

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The values of n and gu 9tqj 3(+oww m:z j+ktfr(8ll 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 configurationoqu;zcz:p8r+ kvj9z4) f8je/ ;spz, gkxkb)f $1s^22s^22p^63s^23p^2$. 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 confivsj8p g5r5cau/2 e3ukpsl:l; guration of $1s^22s^22p^63s^23p^2$. What is its atomic number?

A. 5

B. 11

C. 14

D. 20

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Mark Problem

48#

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A neutral atom has an electron configuration wm /x(bc,g1 wi 7er oe8nwp* 6m+xbeku; 28vqiof $1s^22s^22p^6$. 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 forfvu .(1bv2 u5y t,hfb3cdyzid 2g) b7c 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 un;c/32o fpgm( uxrl x9*ccxa t9euk+3lknown metal. The strongest peak is found for X-rays with an energy of 66 keV. What is the atomi2ox;3 ex+lmc3r cu(l*9afup9gxk/ ctc 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-rayxp y9 a:u tbokv5-w((g tube subject to 50x5:(yap kbo vw9u-t (g 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 w1n3p 6huisee- + nf1kq1:gmp higher energy level to a lower one. If the energy difference betwns1+i1:1npue-mewfk 6gqp 3 heen 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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