Physics Unit28: Quantum Mechanics of Atoms

1#

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The probability of finding an electron in a hydrogen atn; zx7ya5l 3 dx5uj2tbom is directly proportionabl ;5un z27 3txjx5aydl 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 Uncertai*6s,yeycc b o-x )5qhe9jkdr ms+lw):nty Principle.

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3#

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The reason the positz- miq+d3.al: qn,jg eion of a particle cannot be specified with infinite precision is a dg3i qnl z.q-e,+jm: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 meas8;m+c jq4*su 0gd hkhsuring the position of a particle increases, the accuracy dcs8ksumqj gh *0+; h4in measuring 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 particle increax7o* kn hugbgn5ib)6/q wr5g 8ses, the accuracy in measuring it5 *)oggurbg/q6 87k binn5xhws 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 asmw8r7kfi n8.4p e; i zd)i(kd 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 hag13q.-b8 8p ano3k(cja vb3twzt yy+bve 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 anyg5nbd:lm kqa6axxomg( u ty1:.y 0 +o0 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 inte+) p 1yz,+rcxwdrsa,gger 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 number can have*op+xgw eqj 73f39b-r7 0rgw*kojeye 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 possible quantum numb(lsbm, v9*y axer 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 ir)y 4oi::eqh:n 4g y3 4bsrhmhjmn7)b s 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.v t5tt9cq- pwmz r* udzl,.l, 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 has solutions only if t:w(1ss:smnrh*p q4k ehe 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 0xs mxpk6o6nld 7*p(i 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 cwe-(rzmf;*nnumbers ($n$, $l$, $m_l$, $m_s$) 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 em8(7 cwrdv+d oms(:i4 v;lxfsuitted or absorbed, transitions can only occur between state with values of lsmrc4 dxso7w u;(: (ifdlvv8+ 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*16ruw8zbr 4mkte) +k aq sog( 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 excl08;xo jkjc50u bkt, kmusion principle.

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20#

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In terms of an atom's electron config2 *.m3 brjvwom8u)y veuration, the letters K, L, M, and N refer to)w e382*j ormv b.yvum

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 occ)d++gf w 6c (nqqgqpz5upy 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 electrsd kd m23zv-;rew;avgq)( ya(on 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 or sul wwi56- xo5ndzt v34fgv1 m5hbshells are refe fvwn o 56 1htgv5wxd34im5-lzrred 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 pe37*9u:4 oig n tft 1mtco(yjnkriodic table which lack one electron from a filled shell are refgn7 (oj9:4yfn 1ttoti cmu*3kerred 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 rv;e6b tuxj .1+:xsj+3b xdeb single outer s electron are referred ttj:e+rbx eu jv;.3x+b6xs1 b do 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 acrf( hyi.h1c3yaff6-3t5n d kk lh nw4v ,2fcf8fonym 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 additio1oe cmh4a )g 6.rjtte*n to an object and a piece of ej.1*to6t r gcm )ea4hphotographic 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 lightk0)re7y d zt4lsbwjo g-zgx2e *a 6/5w, 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 witft/covt5)c-i hin a space of about 0.110 nm. If t itvo-cc5) /tfhe 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 electro+zp 5jp0 )1zruv*nhion traveling 2000 m/s is known to an accuracy of 1rv opz0uinp)1 h*5 +jz 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 x.uviztv2 5.oelectron'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/sgb7 kk4rlbgir (9e2/h , with the speed known to within 0.100%. What isr4g/rhib g k79(elk b2 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 about 0.500 eV. What iebi7st4)5 vais the uncertainty in the lifetbisa7v 4 i5e)-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 xihv(tp rmwlncq02,s8d36n eujs401an approximate expressire6s1l8nu3qj(mw0 ds h c4p ni0,xv2ton 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:4 ) ucmusei6gj x1xk+fgq;j2k,ds 7 w 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 i,l.d:we wpgt0o 9uo-jy7f p)s n the $6h$ 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 in2q, dhxhgp.ccs:-z x . 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 the rm8 sy5j+ ildznt* -gxt 32zl0$6h$ 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 mkd6i05+2gxga * dksoy58tr 9sp - boy$6h$ 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 e6b8hful89)2 n *kz .oxp.qtut 4otgoj,gaq( clectron 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 g lg6:xin) p:mhas 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 hsxmj+b c971he.txwf.(cjkl3ow many different quantum 7l1hkt+w(. bs.c9xj fmxce 3jstates?

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 ptvts -u(+(3fku 7id nthe eleci(ufup3nvtk 7- d s+(ttrons 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 fie7rw9wj : s+dacpy4vs) b k1s0t 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 for -mx*4754kfk-y 2v ayjpt htwy 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 configurati;fya;)yvum r2lu(:zdon $1s^22s^22p^63s^23p^2$. 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 configurat*kk5j rz )*xcu3rbz)tion 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 o;xmsg7r65pi /x(rg0 yuha tzt2d n/x4f $1s^22s^22p^6$. 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 conl8j3 nx 5qu,dofiguration 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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50#

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High-energy photons are used to bombard an unknown metal. The (q ir5j6jz5 sustrongest peak is found for X-rays with an energy of 66 keV. What is the atomic number of tz(rij6squ55j he 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 k6s:zko/ c7fx emitted in an X-ray tube subject to 50 k:ckx7 f/k6 oszV?

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 eleo 57vmy-:5 j gxuzu; xv.zqm1octron jumps from a higher energy level to a lower one. If the ene5guj. - ovv;5 :xxu7mzm y1zqorgy 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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