Skip to main content

Full text of "Test Booklet 5 - Models of the Atom: Project Physics"

See other formats


The  Project  Physics  Course 


Tests 


5 


Models  of  the  Atom 


Digitized  by  the  Internet  Archive 

in  2010  with  funding  from 

F.  James  Rutherford 


http://www.archive.org/details/testbooklet5mode00fjam 


The  Project  Physics  Course 


Tests 


UNIT 


5  Models  of  the  Atom 


A  Component  of  the 
Project  Physics  Course 


Distributed  by 

Holt,  Rinehart  and  Winston,  Inc. 

New  York-Toronto 


This  publication  is  one  of  the  many  instructional  materials 
developed  for  the  Project  Physics  Course.  These  materials 
include  Texts,  Handbooks,  Teacher  Resource  Books, 
Readers,  Programmed  Instruction  Booklets,  Film  Loops, 
Transparencies,  16mm  films  and  laboratory  equipment. 
Development  of  the  course  has  profited  from  the  help  of 
many  colleagues  listed  in  the  text  units. 


Directors   of  Harvard   Project  Physics 

Gerald  Holton,  Department  of  Physics,  Harvard 

University 
F   James  Rutherford,  Chairman  of  the  Department 

of  Science  Education,  New  York  University,  New  York 
Fletcher  G.  Watson,  Harvard  Graduate  School  of 

Education 


Picture  Credit 

Cover  photo:  (Diffraction  pattern  produced  by  directing  a  beam  of  electrons 
through  polycrystalline  aluminum).    Professor  Harry  Meiners, 
Rensselaer  Polytechnic  Institute. 


Copyright  ©  1970,  Project  Physics 

All  Rights  Reserved 

ISBN  0-03-084819-9 

4567  039  9876543 

Project  Physics  is  a  registered  trademark 


TEST  A 


Directions 

This  test  consists  of  fifteen  multiple-choice  questions  and  seven  problem-and-essay  questions, 
divided  into  two  groups.  Answer  ALL  multiple-choice  questions  by  marking  the  letter  corres- 
ponding to  the  one  best  answer.  Answer  THREE  of  the  problem-and-essay  questions  from  Group 
One  and  ONE  from  Group  Two.  Spend  about  15  minutes  on  the  multiple-choice  questions,  5 
minutes  on  each  of  the  problem-and-essay  questions  from  Group  One  and  10  minutes  on  the  prob- 
lem-and-essay question  from  Group  Two. 

The  numerical  values  of  some  physical  constants,  a  definition,  and  equations  that  may  be  useful 
in  this  test  are  given  on  the  last  page  of  this  booklet. 


MULTIPLE-CHOICE  QUESTIONS 


1.    Which  one  of  the  following  equations  relates  an  increase  in  an  object's  mass  with  an  increase 
in  the  object's  speed? 

A.      m  =  F/a 

Q  V 

m     BR 

C.  ^mv'  =hf-W. 
2 

m„ 

D.  m  = 


V  1  -  v^  /c^ 

V  hf 

E.      mv  =  — 

c 

2,    Which  of  the  following  could  not  be  explained  in  terms  of  classical  physics? 

1.  the  photoelectric  effect 

2.  variation  of  mass  with  speed 

3.  the  Compton  effect 

A.  1  only 

B.  2  only 

C.  3  only 

D.  1  and  2  only 

E.  1,  2  and  3 


3.  An  electron  from  a  hydrogen  atom 

A.  is  identical  to  an  electron  from  an  oxygen  atom, 

B.  has  greater  rest  mass  than  an  electron  from  an  oxygen  atom. 

C.  is  larger  than  an  electron  from  an  oxygen  atom. 

D.  has  greater  charge  than  an  electron  from  an  oxygen  atom. 

4.  A  reasonable  prediction,  based  on  the  evolution  of  previous  scientific  theories,  is  that  in  the 
future  the  quantum  theory  will 

A.  be  replaced  by  a  theory  based  on  a  mechanical  model. 

B.  be  replaced  by  a  more  general  theory. 

C.  be  shown  to  be  wrong. 

D.  explain  everything  about  nature. 

5.  A  clean  surface  of  potassium  metal  will  emit  electrons  when  exposed  to  blue  light.  If  the  in- 
tensity of  the  blue  light  is  increased,  which  of  the  following  will  increase  also? 

1 .  the  number  of  electrons  ejected  per  second 

2.  the  maximum  kinetic  energy  of  the  ejected  electrons 

3.  the  charge  of  each  ejected  electron 


A. 

1  only 

B. 

2  only 

C. 

3  only 

D. 

1  and  2  only 

E. 

1,  2  and  3 

In  an  electrolysis  experiment,  a  certain  amount  of  hydrogen  is  collected.  If  the  experiment 
were  repeated  with  1/3  as  much  electric  current,  and  1/5  as  much  time,  how  much  hydrogen 
would  be  collected? 


A. 
B. 
C. 
D. 
E. 


1/15  as  much 
1/8  as  much 
1/5  as  much 
1/3  as  much 
1/2  as  much 


ALL  EXCEPT  ONE  of  the  following  terms  can  be  applied  to  both  an  x  ray  and  an  atom  of 
hydrogen.   Find  the  exception. 

A.  wavelength 

B.  momentum 

C.  velocity 

D.  rest  mass 

E.  energy 


8.  Bohr's  atomic  model 

A.  allows  only  certain  values  of  angular  momenta  for  the  orbital  electron  of  hydrogen. 

B.  explains  the  spectra  of  elements  whose  atoms  have  more  than  one  electron  in  the 
outermost  shell. 

C.  assumes  that  electrons  have  wave  properties. 

9.  In  the  modem  periodic  table,  the  elements  are  arranged  in  order  of  increasing 

A.  atomic  mass. 

B.  atomic  number. 

10.  Which  of  the  following  entered  significantly  into  the  determination  of  q/m  for  electrons  in 
J.  J.  Thomson's  experiment? 

1.  A  force  acts  upon  a  moving  electron  in  a  gravitational  field. 

2.  A  force  acts  upon  a  moving  electron  in  an  electric  field. 

3.  A  force  acts  upon  a  moving  electron  in  a  magnetic  field. 

A.  1  and  2  only 

B.  1  and  3  only 

C.  2  and  3  only 

D.  1,  2  and  3 

11.  In  a  scattering  experiment,  some  alpha  particles  directed  towards  a  gold  foil  come  straight  back. 
At  the  point  of  closest  approach  of  an  alpha  particle  to  the  nucleus  of  the  gold  atom,  the  alpha 
particle  must  have  had  zero 

A.  kinetic  energy. 

B.  potential  energy. 

C.  electrical  energy. 

D.  acceleration. 

E.  charge. 

12.  A  beam  of  electrons  is  directed  between  two  charged  plates  as  indicated  in  the  diagram  at  the 
right.  Once  the  beam  is  between  the  plates  it  will 


A.  curve  in  direction  A. 

B.  curve  in  direction  B. 

C.  curve  in  direction  C. 

D.  curve  in  direction  D. 

E.  continue  in  a  straight  line. 


13.  When  the  speed  of  an  electron  increases,  the  measured  value  of  the  charge-to-mass  ratio  is 

A.  increased  because  the  mass  decreases. 

B.  increased  because  the  charge  increases. 

C.  decreased  because  the  mass  increases. 

D.  decreased  because  the  charge  decreases. 

E.  unchanged. 

14.  No  physicist  has  been  able  to  think  of  an  experiment  that  could  reveal  the  exact  position  of 
an  electron  in  a  given  atom.  Therefore,  modem  physicists 

A.  assume  that  the  electrons  take  positions  predicted  by  Bohr's  theory. 

B.  have  developed  a  theory  that  states  that  the  position  of  an  electron  in  an  atom  cannot 
be  found  precisely. 

C.  look  forward  to  the  time  when  such  experiments  will  be  done. 

15.  Which  statement  about  electrons  is  false?  Moving  electrons 

A.  have  masses  that  are  independent  of  speed. 

B.  may  be  diffracted. 

C.  can  be  deflected  by  a  magnetic  field. 

D.  can  be  deflected  by  an  electric  field. 


PROBLEM-AND-ESSAY  QUESTIONS 
Group  One 
Answer  THREE  of  the  following  five  questions.  Allow  about  5  minutes  each. 

1.  It  was  found  by  experiment  that  the  ratio  of  charge  to  mass  of  a  certain  particle  was  1/1836 
times  the  ratio  of  charge  to  mass  of  an  electron.  State  at  least  two  different  hypotheses  that 
might  account  for  this  observation. 

2.  The  compound  zinc  oxide  (ZnO)  contains  equal  numbers  of  atoms  of  zinc  and  oxygen.  The 
atomic  mass  of  zinc  is  65.37  and  the  atomic  mass  of  oxygen  is  15.99.  Calculate  the  percen- 
tage by  mass  of  zinc  in  zinc  oxide. 

3.  What  factors  influence  the  amount  of  deflection  of  a  beam  of  electrons  by  a  magnetic  field? 

4.  Explain  the  meaning  of  the  equation  mvr  =  — —  in  Bohr's  model  of  the  atom. 

27r 

5.  Calculate  the  de  Broglie  wavelength  of  a  neutron  (mass  =  1.67  X  10'^^  kg)  traveling  at  10* 
meters/second. 


Group  Two 

Answer  ONE  of  the  following  two  questions.  Allow  about  10  minutes. 

6.  The  generalized  Balmer  formula  that  describes  the  hydrogen  spectrum  is 

In  the  Bohr  model  the  energy  of  the  radiation  emitted  or  absorbed  when  a  hydrogen  atom 
goes  from  an  initial  energy  state  to  a  final  energy  state  is 

hf  =  ii  -  4  . 

nf^        Hi^ 
If  El  =  Rfi'hc,  show  that  the  Balmer  formula  may  be  derived  from  the  Bohr  formula. 

7.  a)    Write  a  brief  statement  of  Heisenberg's  uncertainty  principle. 

b)    If  the  uncertainty  in  the  position  of  an  electron  is  10"^"  meters,  what  is  the  uncertainty  in 
its  momentum? 


TEST  B 


Directions 

This  test  consists  of  fifteen  multiple-choice  questions  and  eight  problem-and-essay  questions, 
divided  into  two  groups.    Answer  ALL  multiple-choice  questions  by  marking  the  letter  corres- 
ponding to  the  one  best  answer.    Answer  THREE  of  the  problem-and-essay  questions  from 
Group  One  and  ONE  from  Group  Two.    Spend  about  15  minutes  on  the  multiple-choice  ques- 
tions, 5  minutes  on  each  of  the  problem-and-essay  questions  from  Group  One  and  10  minutes 
on  the  problem-and-essay  question  from  Group  Two. 

The  numerical  values  of  some  physical  constants,  a  definition,  and  equations  that  may  be  useful 
in  this  test  are  given  on  the  last  page  of  this  booklet. 


MULTIPLE-CHOICE  QUESTIONS 


1.    An  electron  has  a  rest  mass  of  9.1  X  10"^'  kilograms.  Each  electron  in  a  certain  beam  has 
a  mass  of  9.6  X  10"^^  kilograms.  Therefore,  we  can  conclude  there  has  been  an  increase  in 
the  electron's 


1.  kinetic  energy. 

2.  speed. 

3.  rest  mass. 

A.  1  only 

B.  2  only 

C.  3  only 

D.  1  and  2  only 

E.  1,  2  and  3 

2.  An  oxygen  molecule  is  made  up  of  atoms,  nuclei  and  electrons.  If  one  lists  these  for  oxygen 
in  order  of  decreasing  mass,  with  the  most  massive  listed  first,  which  one  of  the  following 
lists  is  correct? 


A.  electron,  nucleus,  atom 

B.  nucleus,  atom,  electron 

C.  nucleus,  electron,  atom 

D.  atom,  nucleus,  electron 

E.  atom,  electron,  nucleus 


3.  Most  gases  can  be  analyzed  by  means  of  a  spectroscope  because  each  element 

A.  can  be  recognized  when  magnified  up  to  100,000  times  its  normal  size, 

B.  occupies  a  unique  position  in  the  periodic  table. 

C.  when  heated  to  a  high  temperature  emits  light  with  a  characteristic  set  of 
wavelengths. 

D.  has  a  different  atomic  mass. 

4.  An  electron  from  a  hydrogen  atom 

A.  is  identical  to  an  electron  from  an  oxygen  atom. 

B.  is  more  massive  than  an  electron  from  an  oxygen  atom. 

C.  is  larger  than  an  electron  from  an  oxygen  atom. 

D.  has  greater  charge  than  an  electron  from  an  oxygen  atom. 

5.  Which  of  the  following  statements  is  (are)  correct? 

1.  X  rays  travel  at  the  speed  of  light. 

2.  X  rays  may  be  produced  when  high-energy  electrons  are  stopped  by  a  target. 

3.  X  rays  are  high-energy  electrons. 

A.  1  only 

B.  1  and  2  only 

C.  1  and  3  only 

D.  2  and  3  only 

E.  1,  2  and  3 

6.  An  understanding  of  the  photoelectric  effect  was  most  important  to  the  development  of 

A.  the  quantum  theory  of  light. 

B.  Thomson's  atomic  model. 

C.  Faraday's  second  law  of  electrolysis. 

D.  the  periodic  table  of  elements. 

7.  Evidence  that  atoms  might  have  structure  was  found  in 

1 .  electrolysis  experiments. 

2.  the  perodic  properties  of  elements. 

3.  cathode-ray  experiments, 

A.  1  only 

B.  2  only 

C.  3  only 

D.  1  and  3  only 

E.  1,  2  and  3 


8.  Rutherford's  model  of  the  atom  accounted  for  the 

A.  stabiUty  of  the  nucleus. 

B.  stability  of  the  electron  orbits. 

C.  Une  spectra  of  elements. 

D.  scattering  of  alpha  particles  by  metal  foils. 

E.  scattering  of  x  rays  by  metal  foils. 

9.  Which  one  of  the  following  electromagnetic  radiations  has  photons  of  the  greatest  energy? 

A.  radio 

B.  infrared 

C.  visible  light 

D.  ultraviolet 

E.  X  rays 

10.    In  a  letter  to  Max  Born  in  1926  Einstein  wrote: 


The  quantum  mechanics  is  very  imposing.  But  an  inner  voice  tells  me 
that  it  is  still  not  the  final  truth.  The  theory  yields  much,  but  it  hard- 
ly brings  us  nearer  to  the  secret  of  the  Old  One.  In  any  case,  I  am  con- 
vinced that  He  does  not  throw  dice. 


In  this  statement,  what  characteristic  of  quantum  mechanics  was  Einstein  objecting  to? 

A.  The  predictions  of  quantum  mechanics  can  only  be  expressed  as  probabilities. 

B.  Quantum  mechanics  considers  both  wave  and  particle  properties  of  matter. 

C.  The  development  of  quantum  mechanics  involved  very  complicated  mathematics. 


11.    Physicists  refer  to  the  dual  nature  of  matter:  matter  has  particle  properties  and  wave  proper- 
ties. However,  the  wave  property  of  large,  massive  objects  is  NOT  observed  because 


A.  this  dual  nature  applies  only  to  matter  on  the  atomic  scale. 

B.  their  accelerations  are  too  small. 

C.  their  wavelengths  are  too  small  to  detect. 

D.  their  speeds  are  too  small. 

E.  they  do  not  emit  photons. 


12.    The  following  men  made  important  contributions  to  our  understanding  of  atomic  structure. 

1.  Bohr 

2.  Dalton 

3.  Schrondinger 

If  one  lists  the  names  in  order  of  their  contribution,  with  the  earliest  listed  first,  they  would 
be  arranged 


A. 

1,  2,  3. 

B. 

2,1,3. 

C. 

2,  3,  1. 

D. 

3, 1,  2. 

E. 

3,2,1. 

13.  The  model  of  the  atom  used  in  quantum  mechanics  is 

A.  the  planetary  model  described  by  Bohr. 

B.  similar  to  Bohr's  model,  but  with  elliptical  orbits  for  the  electrons. 

C.  a  mathematical  wave  equation. 

D.  the  "raisin  pudding"  model  of  electrons  imbedded  in  positive  electricity. 

14.  The  Millikan  oil-drop  experiment  was  the  first  conclusive  experimental  demonstration  that 

A.  electric  charge  is  found  as  multiples  of  a  certain  unit  of  charge. 

B.  all  electrons  have  a  negative  charge. 

C.  electrons  are  particles. 

D.  electrons  have  wave  properties. 

E.  all  atoms  contain  electrons. 

15.  The  combining  capacity  of  an  element  is  called  its 

A.  atomic  number. 

B.  valence. 

C.  atomic  mass. 


PROBLEM-AND-ESSAY  QUESTIONS 
Group  One 
Answer  THREE  of  the  following  five  questions.  Allow  about  5  minutes  each. 

1.  What  is  meant  by  the  expression  "wave-particle  dualism"? 

2.  Describe  two  shortcomings  of  Bohr's  model  of  the  atom. 


3.  How  is  the  energy  of  a  photon  related  to  properties  of  the  electromagnetic  wave  with  which 
it  is  associated? 

4.  State  one  important  consequence  of  the  periodic  table  of  elements  formulated  by  Mendeleev. 

5.  Althoughthe  alchemists  failed  in  their  efforts  to  transmute  ordinary  metals  into  gold,  their 
work  has  had  a  profound  influence  on  the  development  of  certain  areas  of  science  as  we  know 
them  today.  Describe  briefly  the  role  played  by  alchemy  in  the  process  by  which  modem 
chemistry  evolved. 


Group  Two 
Answer  ONE  of  the  following  three  questions.  Allow  about  10  minutes. 

6.  Select  ONE  of  the  following  experiments. 

J.  J.  Thomson's  q/m  experiment 

Millikan's  oil-drop  experiment 

Photoelectric  effect  experiments 

Faraday's  electrolysis  experiment 

Rutherford's  alpha-particle  scattering  experiment 

a)  Sketch  a  diagram  of  the  apparatus  used  in  the  experiment. 

b)  Explain  the  significance  of  the  experiment  in  the  development  of  present  ideas  about  the 
atom. 

7.  a)    What  role  does  the  postulate  "matter  consists  of  indivisible  atoms"  play  in  the  develop- 

ment of  Dalton's  atomic  theory? 
b)    The  atomic  mass  of  element  A  is  6  times  that  of  element  B.  In  a  compound  containing 
only  A  and  B,  it  is  found  that  there  is  3  times  as  much  A  as  there  is  B  (by  weight).  That 
is,  an  8-gram  sample  of  the  compound  contains  6  grams  of  A  and  2  grams  of  B.  What  is 
a  possible  formula  for  this  compound? 

8.  Franck  and  Hertz  found  that  electrons  lose  only  certain  amounts  of  kinetic  energy  in  colli- 
sions with  atoms  of  a  gas.  The  experiment  involved  measuring  the  kinetic  energy  of  electrons 
before  and  after  they  passed  through  a  sample  of  gas. 

Sketch  a  diagram  of  an  apparatus  that  could  be  used  to  make  these  measurements. 


10 


TESTC 


Directions 

Answer  ALL  forty  multiple-choice  questions  by  marking  the  letter  corresponding  to  the  one  best 
answer. 

The  numericjil  values  of  some  physical  constants,  a  definition,  and  equations  that  may  be  useful 
in  this  test  are  given  on  the  last  page  of  this  booklet. 

1.  In  a  scattering  experiment,  some  alpha  particles  directed  toward  a  gold  foil  come  straight 
back.  At  the  point  of  closest  approach  of  an  alpha  particle  to  the  nucleus  of  the  gold  atom, 
the  alpha  particle  must  have  had  zero 

A.  kinetic  energy. 

B.  potential  energy. 

C.  electrical  energy. 

D.  acceleration. 

E.  charge. 

2.  ALL  EXCEPT  ONE  of  the  following  are  predictions  of  the  special  theory  of  relativity.  Which 
one  is  the  exception? 

A.  Photons  have  momentum. 

B.  The  mass  of  a  body  increases  with  its  speed. 

C.  Electrons  in  an  atom  have  certain  discrete  energies. 

D.  Kinetic  energy  can  be  converted  into  matter. 

For  questions  3  to  6,  use  the  following  to  select  the  phenomenon  that  correctly  completes  the 
sentence. 

A.  scattering  of  alpha  particles  by  gold  foil. 

B.  bright  line  spectra  of  hydrogen  atoms. 

C.  emission  of  electrons  from  metal  surfaces  struck  by  electromagnetic  radiation  of  different 
frequencies. 

D.  diffraction  of  electrons  by  crystals. 

E.  scattering  of  x  rays  by  electrons. 

3.  The  concept  of  a  nuclear  atom  was  established  from  experiments  on  the 

4.  The  momentum  of  a  photon  was  demonstrated  in  experiments  on  the 

5.  The  wave  character  of  matter  was  confirmed  by 

6.  Bohr's  theory  was  successful  in  explaining 


11 


In  an  electrolysis  experiment  10.0  cubic  centimeters  of  hydrogen  gas  is  collected.  If  the  experi- 
ment were  repeated  using  the  same  amount  of  water,  1/3  as  much  electric  current,  and  1/5 
as  much  time,  how  much  hydrogen  would  be  collected? 


A. 

0.67  cm^ 

B. 

1.00  cm^ 

C. 

1.67  cm^ 

D. 

2.00  cm^ 

E. 

3.33  cm^ 

8.  The  success  of  the  Bohr  theory  rested  primarily  on  the  fact  that  it 

A.  had  a  firm  theoretical  basis  in  quantum  physics. 

B.  was  a  consequence  of  Einstein's  relativity  theory. 

C.  explained  the  observed  spectrum  of  hydrogen. 

D.  explained  the  properties  of  the  nucleus. 

Questions  9  and  10  refer  to  the  graph  at  the  right  that  displays  the  results  of  a  photoelectric 
effect  experiment. 

9.  The  symbol  fo  represents 

A.  Planck's  constant. 

B.  the  energy  required  for  ejection  from  metal  #  1. 

C.  the  threshold  frequency  for  metal  #1. 

D.  the  energy  of  an  ejected  electron. 

10.  The  slope  of  the  line  labeled  metal  #  1  equals 

A.  Planck's  constant. 

B.  the  energy  required  for  ejection  from  metal  #  1. 

C.  the  threshold  frequency  for  metal  #  1. 

D.  the  energy  of  an  ejected  electron. 

11.  The  unexpected  finding  about  the  scattering  of  alpha  particles  by  gold  foil  was  that 

A.  most  particles  went  through  the  foil. 

B.  some  particles  were  deflected  through  large  angles. 

C.  scintillations  were  observed  in  the  detector, 

D.  scattering  varied  with  foil  thickness. 

E.  alpha  particles  were  more  massive  than  cathode  rays. 


frequency  of  photon 


12 


12.  The  "electron-volt"  is  a  unit  of 

A.  electric  current, 

B.  energy. 

C.  potential  difference. 

D.  rate  of  flow  of  electricity. 

Questions  13  and  14  refer  to  the  following  diagram  that  gives  the  energies  of  some  stationary 
states  of  hydrogen. 

n  =  oo  0.0  eV 

n  =  4 0.8 

n  =  3 1.5 

n  =  2 3.4 

n  =  1 13.6 

13.  How  much  energy  is  emitted  when  an  atom  makes  a  transition  between  the  stationary  states 
designated  by  n  =  3  and  n  =  2? 

A.  1.5  eV 

B.  1.9  eV 

C.  3.4  eV 

D.  4.9  eV 

E.  10.2  eV 

14.  If  hydrogen  atoms,  as  described  by  the  Bohr  model,  are  excited  to  the  stationary  state  desig- 
nated by  n  =  3,  how  many  different  frequencies  of  radiation  may  be  emitted  by  the  atoms? 

A.  1 

B.  2 

C.  3 

D.  4 

E.  5 

15.  Which  of  the  following  three  statements  is  (are)  true  of  cathode  rays? 

1.  They  are  emitted  by  a  variety  of  cathode  materials. 

2.  Their  paths  may  be  bent  by  magnetic  fields. 

3.  Their  paths  may  be  bent  by  electric  fields. 


A.  1  only 

B.  1  and  2  only 

C.  1  and  3  only 

D.  2  and  3  only 

E.  1,  2  and  3 


13 


16.  According  to  classical  electromagnetic  theory,  which  of  the  following  should  occur  in  an 
atomic  model  that  has  electrons  revolving  in  orbits  around  the  nucleus? 

1 ,  Electrons  should  lose  energy  and  fall  into  the  nucleus. 

2.  Electrons  should  emit  radiation  continually. 

A.  1  only 

B.  2  only 

C.  1  and  2 

17.  A  beam  of  alpha  particles  with  kinetic  energy  3MeV  is  directed  at  a  gold  foil  1000  atoms  thick. 
A  second  beam  of  alpha  particles  with  kinetic  energy  3  MeV  is  directed  at  a  silver  foil  1000 
atoms  thick. 

A.  The  number  of  a  particles  scattered  back  by  both  foils  will  be  identical. 

B.  The  number  of  a  particles  scattered  back  by  the  gold  foil  will  be  different  from  the 
number  scattered  back  by  the  silver  foil. 

C.  Each  foil  will  scatter  all  the  particles  directed  at  it. 

D.  There  will  be  no  scattering  by  either  foil. 

18.  A  clean  surface  of  potassium  metal  will  emit  electrons  when  exposed  to  blue  light.  If  the  in- 
tensity of  the  blue  light  is  increased,  which  of  the  following  will  also  increase? 

1.  The  number  of  electrons  ejected  per  second. 

2.  The  maximum  kinetic  energy  of  the  ejected  electrons. 

A.  1  only 

B.  2  only 

C.  1  and  2 

19.  X  rays  are 

A.  low-energy  cathode  rays. 

B.  high-energy  photons. 

C.  ionized  gas  molecules. 

D.  waves  accompanying  photoelectrons. 

E.  particles  traveling  at  speeds  just  below  the  speed  of  light. 

Question  20  refers  to  the  following  diagram. 


cathode  rays 


14 


20.  A  beam  of  cathode  rays  traveling  between  two  parallel  plates,  one  positively  charged  and  the 
other  negatively  charged, 

A.  is  deflected  towards  the  positive  plate. 

B.  is  deflected  towards  the  negative  plate. 

C.  is  not  deflected. 

21.  CuO  and  CUj  O  are  two  compounds  of  copper  and  oxygen.  If  4  grams  of  copper  combine 
with  1  gram  of  oxygen  to  form  CuO,  what  weight  of  copper  will  combine  with  1  gram  of 
oxygen  to  form  CUj  O? 

A.  1/4  g 

B.  1/2  g 

C.  2g 

D.  4g 

E.  8g 

22.  Mercury  vapor,  when  conducting  a  current,  appears  bluish-green.  What  is  observed  when  the 
light  from  glowing  mercury  vapor  is  analyzed  in  a  spectroscope? 

A.  a  series  of  discrete  lines 

B.  a  series  of  irregular  bluish-green  flashes 

C.  a  bluish-green  glow 

D.  the  entire  visible  light  spectrum  with  some  dark  lines 

23.  Millikan's  charged  oil-drop  experiment  was  the  first  conclusive  experimental  demonstration 
that 

A.  electric  charge  is  found  as  multiples  of  a  certain  unit  charge. 

B.  all  electrons  have  a  negative  charge. 

C.  electrons  are  particles. 

D.  electrons  have  wave  properties. 

E.  all  atoms  contain  electrons. 


15 


Questions  24  to  26  refer  to  the  following  table  that  gives  some  data  from  electrolysis  experiments. 


Element 

Hydrogen  (H) 
Zinc  (Zn) 
Phosphorus  (P) 


Atomic  Mass 

1.0 
65.0 


Valence 

1 
2 
3 


Quantity  of  element 
produced  by  one 
faraday  of  charge 

1.0  gram 

10.3  gram 


24.  The  quantity  of  zinc  deposited  by  one  faraday  of  electric  charge  is 

A.      21.7  grams  B.      32.5  grams  C.      65  grams  D.      130  grams 

25.  The  atomic  mass  of  phosphorus  is 

A.     3.4  B.      10.3  C.      20.6  D.     30.9 

26.  The  most  obvious  formula  for  a  compound  of  hydrogen  and  phosphorus  is 

A.     HP  B.      HP2  C.      HP3  D.      H3P  E.      H2P3 

27.  Physicists  are  willing  to  accept  the  wave-particle  dualism  because 

A.  the  waves  associated  with  particles  are  too  small  to  be  measured. 

B.  two  theories  are  always  better  than  one. 

C.  both  wave  and  particle  descriptions  are  needed  to  understand  experimental  results. 

D.  the  dualism  is  confirmed  by  the  theory  of  relativity. 

28.  Einstein  explained  the  photoelectric  effect  by  assuming  that 

A.  the  charge  of  an  electron  increases  with  speed. 

B.  atoms  do  not  radiate  energy  from  stationary  states. 

C.  the  mass  of  an  electron  increases  with  speed. 

D.  light  consists  of  quanta  of  energy, 

E.  the  energy  of  light  increases  with  speed. 

29.  ALL  EXCEPT  ONE  of  the  following  are  properties  of  x  rays.  Which  one  is  the  exception? 

A.  They  penetrate  light  materials. 

B.  They  ionize  gases. 

C.  They  are  deflected  by  magnetic  fields. 

D.  They  discharge  electrified  bodies. 

E.  They  are  diffracted  by  crystals. 


16 


30.  A  reasonable  prediction,  based  on  the  evolution  of  previous  scientific  theories,  is  that  in  the 
future  the  quantum  theory  will 

A.  be  replaced  by  a  theory  based  on  a  mechanical  model. 

B.  be  replaced  by  a  more  general  theory. 

C.  be  shown  to  be  wrong. 

D.  explain  everything  about  nature. 

31.  ALL  EXCEPT  ONE  of  the  following  are  true  of  an  electron  of  rest  mass  mo  moving  with  high 
speed.  Which  one  is  the  exception? 

A.  Its  mass  is  greater  than  m© . 

B.  Its  momentum  is  greater  than  mo  v. 

C.  It  behaves  also  like  a  wave  train  of  wavelength  h/p. 

D.  Its  kinetic  energy  is  greater  than  1/2  moV^ . 

E.  Its  charge  is  greater  than  qg. 

32.  The  model  of  the  atom  used  in  quantum  mechanics  is 

A.  the  planetary  model  described  by  Bohr. 

B.  similar  to  Bohr's  model,  but  v.dth  elliptical  orbits  for  the  electrons. 

C.  mathematical. 

D.  the  "raisin  pudding"  model  of  electrons  dispersed  in  positive  electricity. 

E.  a  small  solid  sphere. 

33.  Bohr  dealt  with  the  dilemmas  of  the  planetary  model  of  atoms  by 

A.  adjusting  the  data  to  fit  his  theory. 

B.  postulating  that  parts  of  classical  theory  did  not  apply. 

C.  postulating  that  atoms  are  unstable. 

D.  postulating  that  electrons  have  no  energy. 

E.  disproving  the  Balmer  formula. 

34.  The  wave-particle  dualism  of  matter  can  be  confirmed  experimentally  for 

A.  electrons. 

B.  baseballs. 

C.  planets. 

D.  stars. 

E.  water  waves. 


17 


35.  The  conclusion  that  the  atom  has  a  tiny,  charged  nucleus  was  first  reached  from 

A.  the  evidence  that  x  rays  can  ionize  molecules, 

B.  the  evidence  that  x  rays  can  pass  through  matter. 

C.  the  calculation  of  the  distance  between  the  nucleus  and  the  electron  in  hydrogen  atoms. 

D.  the  calculation  that  11  series  of  the  hydrogen  spectrum  are  described  by  the  equation 

i/x=  Rh  (^  -  A 

nf2        rii^ 

E.  the  evidence  that  some  a.  particles  are  deflected  through  large  angles  by  thin  slices  of 
matter. 

36.  ALL  EXCEPT  ONE  of  the  following  are  conclusions  that  can  be  drawn  from  a  quantitative 
study  of  electrolysis  of  water.  Which  one  is  the  exception? 

A.  Water  is  not  an  element. 

B.  Matter  has  electricity  associated  with  it. 

C.  Hydrogen  and  oxygen  are  elements. 

D.  In  water,  hydrogen  and  oxygen  carry  opposite  charges. 

Questions  37  to  39  are  statements  that  relate  most  directly  to  one  of  the  following  theories. 
Select  the  appropriate  theory. 

A.  Bohr's  theory 

B.  Heisenberg's  uncertainty  principle 

C.  Newton's  universal  theory  of  gravitation 

D.  Einstein's  relativity  theory 

37.  The  mass  of  a  moving  object  increases  as  its  speed  increases. 

38.  There  is  a  limit  to  the  accuracy  of  the  simultaneous  measurement  of  the  velocity  and  position 
of  a  moving  electron. 

39.  The  angular  momentum  of  an  electron  in  a  hydrogen  atom  can  have  only  the  values  h/27r, 
2h/27r,  3h/27r 

40.  The  Franck-Hertz  experiment  on  the  energy  of  electrons  after  passing  through  a  gas  provided 
evidence  for  the  concept  of 

A.  discrete  atomic  energy  levels. 

B.  momentum  of  photons. 

C.  a  plum  pudding  atom. 

D.  Compton  scattering. 

E.  electron  wavelengths. 


18 


TEST  D 


Directions 

This  test  consists  of  eight  questions  in  two  groups.    Answer  only  FOUR  of  the  five  questions 
in  group  One,  and  only  TWO  of  the  three  questions  in  Group  Two.    Spend  about  5  minutes  on 
each  of  the  questions  from  Group  One,  and  10  minutes  on  each  of  the  questions  from  Group 
Two. 

The  numerical  values  of  some  physicEil  constants,  a  definition,  and  equations  that  may  be  useful 
in  this  test  are  given  on  the  last  page  of  this  booklet. 


Group  One 
Answer  only  FOUR  of  the  five  questions  in  this  group.  Allow  about  5  minutes  each. 

1.  Faraday's  law  of  electrolysis  relates  a  particular  amount  of  electric  charge  (the  faraday)  with 
the  atomic  mass  and  valence  of  an  element.  What  is  this  relation?  Explain  how  this  relation 
implies  that  electricity  may  be  atomic  (quantized)  in  nature. 

2.  What  is  one  imphcation  of  the  Millikan  oil-drop  experiment? 

3.  What  aspects  of  the  atom  not  included  in  Rutherford's  idea  of  a  nuclear  atom  were  later  ex- 
plained by  Bohr's  model? 

4.  If  the  energy  required  for  an  electron  to  escape  a  certain  metallic  surface  is  2  X  10"*^  joules, 
what  is  the  lowest  frequency  of  light  that  will  release  electrons  from  this  surface? 

5.  What  happens  to  the  relativistic  mass  of  an  electron  as  its  speed  approaches  the  speed  of  hght? 

Group  Two 

Answer  only  TWO  of  the  three  questions  in  this  group.  Allow  about  10  minutes  each, 

6.  When  96,500  coulombs  of  charge  (1  faraday)  pass  through  water,  1.00  gram  of  hydrogen  and 
8.00  grams  of  oxygen  are  released.  How  much  hydrogen  and  how  much  oxygen  will  be  pro- 
duced when  a  current  of  3.00  amperes  is  passed  through  water  for  60  minutes  (3600  seconds)? 


19 


7.    Each  of  the  following  equations  symbolically  represents  a  key  advance  in  physics.  Select  two 
of  these  equations  and  describe  their  roles  in  the  development  of  modern  physics. 

I.       KE  ^,,  =  hf  -  W 


"•     X  ^  ^»      i^^  -  ^ 


III.       m  = 


nir 


V^. 


IV.      X   =   — - 
mv 


V.       (Ax)  (Ap)  >   — 


8.    Compare  the  atomic  theory  of  the  Greeks  with  the  atomic  theories  developed  by  scientists  late 
in  the  nineteenth  century. 


20