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Grade  12  Diploma  Examination 


JbcXKi 

EDUCATION 


Copyright  1993,  the  Crown  in  Right  of  Alberta,  as  represented  by  the  Minister  of  Education,  Alberta 
Education,  Student  Evaluation  Branch,  11160  Jasper  Avenue,  Edmonton,  Alberta,  T5K  0L2.  All  rights 
reserved.  Additional  copies  may  be  purchased  from  the  Learning  Resources  Distributing  Centre. 

Special  permission  is  granted  to  Alberta  educators  only  to  reproduce,  for  educational  purposes  and 
on  a nonprofit  basis,  parts  of  this  examination  that  do  not  contain  excerpted  material  only  after  the 
administration  of  this  examination. 

Excerpted  material  in  this  examination  shall  not  be  reproduced  without  the  written  permission  of  the 
original  publisher  (see  credits  page,  where  applicable). 


June  1993 

Physics  30 

Grade  12  Diploma  Examination 


Description 

Time  allotted:  2.5  h 
Total  possible  marks:  70 

This  is  a closed-book  examination 
consisting  of  three  parts: 

Part  A 

has  42  multiple-choice  questions  each 
with  a value  of  one  mark. 

Part  B 

has  7 numerical-response  questions  each 
with  a value  of  one  mark. 

Part  C 

has  4 written-response  questions  for  a 
total  of  21  marks. 

A physics  data  booklet  is  provided  for 
your  reference. 


Instructions 

• Fill  in  the  information  required  on 
the  answer  sheet  and  the  examination 
booklet  as  directed  by  the  presiding 
examiner. 

•You  are  expected  to  provide  your 
own  scientific  calculator. 

• Carefully  read  the  instructions  for 
each  part  before  proceeding. 

• The  presiding  examiner  will  collect 
your  answer  sheet  and  examination 
booklet  and  send  them  to  Alberta 
Education. 

• Do  not  fold  the  answer  sheet. 


Note:  The  perforated  pages  at  the 
back  of  this  booklet  may  be  torn 
out  and  used  for  your  rough  work. 
No  marks  will  be  given  for  work 
done  on  the  tear-out  pages. 


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Part  A:  Multiple  Choice 


42  Questions 


Instructions 

• Consider  all  numbers  used  in  the 
questions  to  be  the  result  of  a 
measurement. 

• Read  each  question  carefully  and 
decide  which  of  the  choices  best 
completes  the  statement  or  answers 
the  question. 

• Locate  that  question  number  on  the 
separate  answer  sheet  provided  and 
fill  in  the  circle  that  corresponds  to 
your  choice. 

Example 

This  diploma  examination  is  for 

the  subject  of 

A.  biology 

B.  physics 

C.  chemistry 

D.  mathematics 

Answer  Sheet 


(A)  # © (D) 


• Use  an  HB  pencil  only. 


Note:  The  perforated  pages  at  the 
back  of  this  booklet  may  be  torn 
out  and  used  for  your  rough  work. 
No  marks  will  be  given  for  work 
done  on  the  tear-out  pages. 


• If  you  wish  to  change  an  answer,  erase 
all  traces  of  your  first  answer. 


Do  not  turn  the  page  to  start  the 
examination  until  told  to  do  so  hy 
the  presiding  examiner. 


111 


Digitized  by  the  Internet  Archive 
in  2016 


https://archive.org/details/g/;9de12diplonnae993albe_19 


1.  Which  property  of  light  is  always  unaffected  when  light  enters  a medium? 


A . Wavelength 

B . Frequeney 

C . Direction 

D . Speed 


Use  the  following  information  to  answer  question  2. 


Multiple  Reflections 


I 

I 

I 


A light  ray  refleets  from  two  mirrors  in  a department  store. 


2.  The  measure  of  angle  W is 

A.  100° 

B . 120° 

C.  130° 

D . 140° 


3.  The  primary  eolors  in  the  Additive  Theory  of  Light  are 

A . red,  green,  and  blue 
B . red,  yellow,  and  blue 

C . white,  blaek,  and  grey 

D . magenta,  cyan,  and  yellow 


1 


Use  the  following  information  to  answer  question  4, 


A Polaroid™  filter  has  one  axis  of  polarization.  This  axis  is  represented  in  the 
diagram: 


4.  The  orientation  that  allows  a minimum  amount  of  light  to  pass  through  two  such 
Polaroid™  filters  is  shown  in 


5.  A laser  pulse  is  reflected  off  the  moon  and  is  received  back  at  the  Earth  transmitter 

2.6  s after  the  pulse  is  sent.  Using  these  data,  the  distance  from  the  Earth  to  the 
moon  is  calculated  to  be 


A . 1.6  X 10^  m 

B.  7,8xl0*m 

C.  3.9xl0*m 

D.  1.2xl0*m 


2 


Use  the  following  information  to  answer  question  6. 


A Street  Light  Shadow 


A girl  who  is  1.5  m tall  stands  on  a level  sidewalk  5.0  m away  from  a street 
light  that  is  9.5  m high.  (This  diagram  is  not  drawn  to  scale.) 


6.  What  is  the  length  of  the  girl’s  shadow  on  the  sidewalk? 


A. 

1.1  m 

B. 

0.94  m 

C. 

0.79  m 

D. 

0.43  m 

7.  When  light  rays  pass  by  the  sharp  edge  of  a razor  blade  or  through  Venetian  blinds 
that  are  nearly  closed,  the  light  rays  are 


A. 

reflected 

B. 

refracted 

C. 

polarized 

D. 

diffracted 

3 


8.  Newton’s  particle  theory  of  light  was  abandoned  immediately  after  measurements 
were  made  of  the 

A .  photoelectric  effect 
B . speed  of  light  in  air 

C . speed  of  light  in  water 

D . width  of  the  white-light  spectrum 

9.  A particular  T-shirt  absorbs  only  those  colors  of  light  that  have  wavelengths  shorter 
than  the  wavelength  of  green  light.  When  red  light  and  blue  light  illuminate  this 
T-shirt,  its  color  is  observed  to  be 

A . red 

B . blue 

C . black 

D . purple 


10.  The  electron  volt  (eV)  is  a unit  of 

A . energy 

B . charge 

C . current 

D . potential  difference 


11.  The  electron  gun  in  the  back  of  a black-and-white  TV  set  has  a length  of 

1.2  X 10“^  m and  an  accelerating  voltage  of  2.0  x 10^  V.  The  acceleration  of 
the  electron  while  in  this  gun  is 

A.  1.8xl0^^m/s^ 

B.  2.9  X 10"^  m/s^ 

C.  4.2xl0‘^m/s2 

D.  3.0xl0*m/s^ 


4 


12.  An  electron  and  an  alpha  particle  travelling  at  the  same  speed  pass  through  the  same 
magnetic  field.  Compared  to  the  force  exerted  on  the  electron,  the  force  exerted  on 
the  alpha  particle  is 

A .  less  because  the  alpha  particle  mass  is  greater 
B . less  because  the  alpha  particle  charge  is  greater 
C . greater  because  the  alpha  particle  mass  is  greater 
D . greater  because  the  alpha  particle  charge  is  greater 

13.  A sphere  with  an  excess  of  1 1 electrons  is  suspended  between  two  horizontal  plates 
3.0  mm  apart.  The  plates  are  maintained  at  a potential  difference  of  3.0  x 10^  V. 
The  mass  of  this  sphere  is  calculated  to  be 

A.  1.6  X 10”'^  kg 

B.  1.6xl0“‘'‘kg 

C.  1.8x10“'^  kg 

D.  1.8xl0“‘^kg 


Use  the  following  information  to  answer  question  14. 


Operation  of  an 

Electric  Motor 

Voltage 

2.40  X 10^  V 

Current 

41.7  A 

Efficiency 

20.0% 

14.  If  this  electric  motor  is  used  to  operate  a hoist,  how  high  could  a 2.00  x 10^  kg 
object  be  lifted  in  10.0  s? 

A.  5.00xl0^m 

B.  1.00  X 10^  m 

C.  51.1m 

D.  10.2  m 


5 


Use  the  following  information  to  answer  question  15. 


Charged  Sphere  in  an  Electric  Field 


Plate  X - 


+ + + + + + + + 

Plate  Y 

A negatively  charged  sphere  experiences  a force  because  of  the  equal  and 
opposite  charges  on  plates  X and  Y. 


15.  The  negatively  charged  sphere  will  likely  move  in  direction 


A.  1 

B.  2 

C.  3 

D.  4 


16.  If  a watch  battery  delivers  a current  of  1 .0  x 10  ^ A,  how  many  electrons  leave  the 
battery  every  second? 


A.  6.3x10“*^ 

B.  6.3x10'^ 

C.  6.3x10'^ 

D.  6.3x10^' 


6 


17.  The  unit  tesla  is  equivalent  to  the  unit  combination 


A.  N/(A.m) 

B.  (A»m)/N 

C.  (N.m)/(C.s) 

D.  (C.m)/(N.s) 


Use  the  following  information  to  answer  question  18. 


Charge  Redistribution 

Y X 


Three  identical  insulated  metal  spheres,  Z,  Y,  and  X,  have  their  initial  charges  as 
indicated. 


18.  If  Z is  touched  to  Y and  then  to  X,  the  charge  remaining  on  X will  be 

A.  -6.7xlO*’C 
B . +6.7  X 10“''  C 

C.  -S.SxlO-^C 

D . zero 


7 


Use  the  following  information  to  answer  question  19. 


Wire  in  a Magnetic  Field 


Wire  XY  is  4.0  cm  long.  It  carries  a 0.50  A current  perpendicular  to  a magnetic 
field  of  magnitude  6.0x1 0“^T. 


19.  The  force  on  wire  XY  is 

A . 1 .2  X 10“^  N into  the  plane  of  the  page 

B . 1 .2  X 10“^  N out  of  the  plane  of  the  page 

C . 3.0  X 10^  N into  the  plane  of  the  page 

D . 3.0  X 10^  N out  of  the  plane  of  the  page 


20.  The  direction  of  an  electric  field  is  defined  as  the  direction  of  the  force  that  the  field 
exerts  on  a 

A . test  mass 
B . positive  charge 

C . negative  charge 

D . north  magnetic  pole 


8 


21.  A resistor  will  heat  up  from  a “cold”  value  of  15  to  a “hof’  operating  value  of 

1.0  X 10^  as  a constant  voltage  is  applied.  The  graph  that  represents  the  power 
P as  a function  of  resistance  R for  this  particular  resistor  is 


D. 


P 


15  R(Q) 


22.  An  electric  field  that  changes  nonuniformly  induces  a changing  magnetic  field.  This 
magnetic  field,  in  turn,  induces  a 

A . constant  electric  field  parallel  to  the  magnetic  field 
B . changing  electric  field  parallel  to  the  magnetic  field 
C . constant  electric  field  perpendicular  to  the  magnetic  field 
D . changing  electric  field  perpendicular  to  the  magnetic  field 


9 


23.  Compared  with  visible  light.  X-rays  have  a 

A .  higher  speed 
B . lower  frequency 

C . higher  frequency 

D . greater  wavelength 

24.  The  telephone  connection  between  Edmonton  and  Calgary,  a distance  of 

3.0  X 10^  km,  can  be  made  with  an  optical  fibre  that  has  an  index  of  refraction 
of  1.8.  The  difference  in  travel  time  between  a message  carried  by  the  fibre  and 
a message  transmitted  by  microwaves  at  ground  level  would  be 

A.  l.SxlO’^s 

B.  1.0xl0“^s 

C.  8.0xl0“^s 

D.  5.0xl0“^s 


^ 1 

25.  Electromagnetic  radiation  of  frequency  5.00  x 10"  Hz  is  best  described  as  being 


A. 

radio 

B. 

gamma 

C. 

infra-red 

D. 

ultraviolet 

26.  A radio  wave  travelling  down  a coaxial  cable  has  a period  of  1.4  X 10“'^  s and  a 
wavelength  of  0.25  m.  How  long  will  it  take  the  radio  wave  to  travel  15  m down 
this  cable? 

A.  5.0xl0“*s 

B.  8.4xl0"*s 

C.  l.VxlO-’s 

D.  4.3xl0'°s 


10 


27.  The  Thomson  model  of  the  atom 

A . was  formulated  from  quantum  mechanical  theories 
B . predicted  the  size  of  the  nucleus  to  be  about  10"^^  m 
C . was  confirmed  by  Millikan’s  photoelectric  experiments 
D . proposed  that  positive  material  was  uniformly  distributed  throughout  the  atom 

28.  The  study  of  electrolysis  was  made  possible  by  the  invention  of 

A . Volta’s  electric  cell 
B . Geissler’s  vacuum  pump 
C . Ampere’s  current  balance 
D . Coulomb’s  torsion  balance 

29.  A photoelectric  device  operates  in  the  visible  region.  This  device  will  have  the  most 
chance  of  working  with  a 60  W light  bulb  that  emits 

A . yellow  light 
B . green  light 

C . blue  light 

D . red  light 

30.  If  light  of  wavelength  2.0  x 10“^  m strikes  a metal  surface  of  work  function  2.0  eV, 
A . no  photoelectrons  will  be  emitted 

B . photoelectrons  with  negligible  kinetic  energy  will  be  emitted 
C . photoelectrons  with  2.2  x 10“^^  J of  kinetic  energy  will  be  emitted 
D . photoelectrons  with  3.2  x 10“^^  J of  kinetic  energy  will  be  emitted 


11 


31.  Which  observation  is  valid  for  all  cathode  rays? 

A . They  are  positively  charged. 

B . They  travel  at  the  speed  of  light. 

C . They  can  be  polarized  by  refraction. 

D . They  have  the  properties  of  electrons. 

32.  How  many  radio  wave  photons  of  frequency  930  kHz  would  collectively  have 
the  same  energy  as  one  photon  of  yellow  light  of  frequency  5.0  x 10^^  Hz? 

A.  5.0  xio'"^ 

B.  5.4x10" 

C.  5.4x10* 

D.  1.9x10“® 


Use  the  following  information  to  answer  question  33. 


Electrolysis  of  Water 

Trial 

Mass  of  Hydrogen  (g) 

Mass  of  Oxygen  (g) 

I 

8.7 

69.7 

II 

8.0 

64.0 

III 

6.0 

48.1 

IV 

4.5 

33.8 

33.  From  which  trial  should  the  results  be  rejected  as  being  inconsistent  with  the  other 
data? 


A.  I 

B.  II 

C.  Ill 

D.  IV 


12 


Use  the  following  information  to  answer  question  34. 


A beam  of  light  from  a discharge  tube  that  contains  hydrogen  gas  is  incident 
normally  on  a diffraction  grating  with  2.0  x 10^  lines/m.  One  of  the  Balmer  lines 
(nf  = 2)  forms  a first-order  diffraction  image  at  an  angle  of  7.5°. 


34.  The  electron  transition  that  produces  this  spectral  line  is  the  transition  from 


A. 

n^  = 3 

to 

nf=2 

B. 

- 4 

to 

nf=2 

C. 

n^  = 5 

to 

(N 

II 

D. 

n^  = 6 

to 

nf=2 

35.  The  difference  between  the  values  of  kinetic  energy  calculated  using  the  classical 
formula  and  the  values  of  kinetic  energy  calculated  using  the  relativistic  formula  is 
most  significant  for 

A . high  speed  particles 
B . large  mass  particles 
C . small  mass  particles 
D . electromagnetic  radiation 

36.  The  Compton  effect  demonstrates 

A . the  probability  of  finding  an  electron  in  a specific  place 
B . that  X-rays  are  not  affected  by  magnetic  fields 
C . the  wave-particle  duality  of  electrons 
D . that  photons  have  momentum 


13 


Use  the  following  information  to  answer  question  37. 


yi.  The  graph  that  best  represents  the  mass  m as  a funetion  of  the  speed  v for  a partiele 
that  is  accelerated  to  a relativistic  speed  is 

A.  I 

B.  II 

C.  Ill 

D.  IV 


14 


38.  The  relation  mvr  = nh!{2n)  seemed  rather  arbitrary  when  first  used  by  Bohr. 

In  1923,  de  Broglie  suggested  that  this  relation  is  a consequenee  of  the  eleetron’s 

A . wavelength 

B . charge 

C . speed 

D . mass 

39.  If  an  electron  is  known  to  be  confined  in  a space  that  is  10“^®  m across,  then  the 
uncertainty  in  the  momentum  of  this  electron  is  in  the  order  of 

A.  10"^^ kg  •m/s 

B.  lO'^'^kg.m/s 

C.  10-‘^kg.m/s 

D.  10“^kg.m/s 


40.  The  photons  in  a monochromatic  beam  of  light  each  have  a momentum  of 
1.50  X 10“^^  kg*m/s.  The  period  of  this  light  is 

A.  1.47  X 10“^^  s 
B . 4.42  X 10’^  s 

C.  2.26  xloS 

D.  6.79  X 10^4  s 


15 


41.  For  a hydrogen  atom  in  its  ground  state,  represents  the  first  Bohr  radius. 

According  to  Schrddinger’s  wave  mechanics,  the  diagram  that  best  represents  the 
probability  of  finding  the  electron  as  a function  of  the  distance  r from  the 
nucleus  is 


C. 


Probability 


T 

rj  Radius 


42.  At  what  speed  will  the  relativistic  mass  of  a particle  be  exactly  three  times  its  rest 


mass 

7 

A. 

1.00  X 10®  m/s 

B. 

2.00  X 10®  m/s 

C. 

2.67  X 10®  m/s 

D. 

2.83  X 10®  m/s 

You  have  now  completed  Part  A.  Proceed  directly  to  Part  B, 


16 


Part  B:  Numerical  Response 

7 Questions 


Instructions 


Sample  Questions  and  Solutions 


• Consider  all  numbers  used  in  the 
questions  to  be  the  result  of  a 
measurement. 

• Read  each  question  carefully. 

• Record  your  answer  on  the  answer 
sheet  provided  by  writing  it  in  the 
boxes  and  then  filling  in  the 
corresponding  circles. 

• Enter  the  first  digit  of  your  answer  in 
the  left-hand  box  and  leave  any  unused 
boxes  blank. 

• Use  an  HB  pencil  only. 

• If  you  wish  to  change  an 
answer,  erase  all  traces  of 
your  first  answer. 


If  the  angle  of  incidence  in  air  is  47.6°  and 
the  angle  of  refraction  is  28.3°,  the  index  of 

refraction  is . 

(Round  and  record  your  answer  to  three 
digits.) 

sin  6i 


sin  47.6° 
""  sin  28.3° 


1.5576328 


Record  1.56  on  the 
answer  sheet 


1 

. 

5 

6 

©•o© 
© © © ® 
• ©©© 
0 0 0 0 
© © 0 © 
© © © © 
© © • © 
©©©• 
©©©© 
© 0 © © 
©000 


A microwave  of  wavelength  16  cm  has  a 
frequency  of  b x 10^  Hz.  The  value  of  b 
is . 

(Round  and  record  your  answer  to  two 
digits.) 

f=c/X 

= (3.00x  10^  m/s)/(0.16  m) 
f=  1.875  X 10^^  Hz 


Record  1.9  on  the 
answer  sheet  


1 


©•©© 
© © © © 
#©©o 
0 0 0 0 
© © © © 
© © © © 
0 0 © 0 
0 0©© 
©©©© 
© © © © 
© ® • © 


Start  Part  B immediately. 


17 


1.  A beam  of  infra-red  radiation  has  a frequeney  of  2.12  x 10^^  Hz.  When  this  beam 
travels  in  a medium  of  refraetive  index  1.61,  its  wavelength,  expressed  in  seientifie 

notation,  will  ht  bx  10“'^  m.  The  value  of  b is . 

(Round  and  record  your  answer  to  three  digits.) 


2.  A particle  of  charge  3.52  x 10"^  C moves  at  5.10  x 10^  m/s  perpendicular  to 

a magnetic  field  of  magnitude  4.65  x 10“^  T.  The  magnitude  of  the  deflecting  force, 

expressed  in  scientific  notation,  is  x 10“^  N.  The  value  of  b is . 

(Round  and  record  your  answer  to  three  digits.) 


' ' ..  'A  ''  - A.  . 


3.  An  observer  moves  away  from  a light  source  at  a speed  of  0.600c.  The  speed  of 

light  as  measured  by  this  observer  is  x 10^  m/s.  The  value  of  b is 

(Round  and  record  your  answer  to  three  digits.) 


18 


4.  Light  travelling  through  a certain  medium  has  a wavelength  of  5.5 1 x 10“^  m ar 

frequency  of  3.42  x 10^"^  Hz.  The  refractive  index  of  this  medium  is 

(Round  and  record  your  answer  to  three  digits.) 


lECOEl)  YOUR  ANSWER  OiMS  THE  ANSW'i:R  SHIRS' 


5.  A 10.0  A current  flows  for  15.0  min  through  a solution  containing  Mg^^  ions. 

mass  of  magnesium  deposited  in  this  electrolysis  is g. 

(Round  and  record  your  answer  to  three  digits.) 


19 


6.  A bullet  of  mass  10.0  g travelling  at  a speed  of  8.00  x 10^  m/s  has  a de  Broglie 
wavelength,  expressed  in  scientific  notation,  ofbx  lO”'^  m. 

The  value  of  b is . 

(Round  and  record  your  answer  to  three  digits.) 


IIICCOMD  YOUl  ANSWl^M  ON  IHE  ANSYVEl  SHEE'l^ 


7.  The  relativistic  mass  of  an  electron  travelling  at  a speed  of  2.40  x 10^  m/s 

is  ^ X 10“^®  kg.  The  value  of  b is . 

(Round  and  record  your  answer  to  three  digits.) 


lECOEI)  YOUE  ANSWEM  ON  THE  ANSWEl  SHEET 


You  have  now  completed  Part  B.  Proceed  directly  to  Part  C. 


20 


Part  C:  Written  Response 

4 Questions 


Instructions 

• Consider  all  numbers  used  in  the 
questions  to  be  the  result  of  a 
measurement. 

• Read  each  question  carefully. 

• Write  your  answers  in  the  examination 
booklet  as  neatly  as  possible. 

• For  full  marks,  your  answers  must 
show  all  pertinent  explanations, 
calculations,  and  formulas. 

• Your  answers  should  be  presented  in  a 
well-organized  manner  using  complete 
sentences  for  a written  response,  and 
correct  units  and  significant  digits  for  a 
numerical  response. 


Note:  The  perforated  pages  at  th 
back  of  this  booklet  may  be  torn 
out  and  used  for  your  rough  work 
No  marks  will  be  given  for  work 
done  on  the  tear-out  pages. 

Start  Part  C immediately. 


21 


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5 :ja<  >f  »:a?»‘7.»fy;<!tf  P'I>  I i('.  tOrtfiifr  l‘f  I'  >•  .” 


A radio  station  uses  two  antennas  that  are  equidistant  from  the  main 
transmitter.  The  main  transmitter  broadcasts  a steady  tone  at  a 
frequency  of  6.00  x 10^  Hz. 

a.  Calculate  the  wavelength  of  the  emitted  signals. 


For 

Department 
Use  Only 

(4  marks) 


b. 


A home  is  19.2  km  from  one  antenna  and  23.7  km  from  the  other. 
If  a receiver  in  the  home  is  tuned  to  the  radio  station,  is  the 
reception  likely  to  be  good  or  bad?  Show  supporting  calculations 
or  give  supporting  statements  for  your  answer. 


c.  What  property  of  electromagnetic  radiation  is  used  in  answering 
part  b of  this  question? 


23 


Use  the  following  information  to  answer  question  2. 


Using  two  razor  blades  taped  together,  a student  made  a double  slit  on  a 
carbon-coated  glass  slide.  The  student  then  shone  light  of  various  known 
wavelengths  through  the  slits  and  measured  the  distance  x from  the  central 
maximum  to  the  first-order  bright  fringe  as  it  appeared  on  a screen  2.30  m 
from  the  slide. 

Screen 

Slide 

Light  source 


^ 2.30  m 

The  student  recorded  the  following  data: 


A(lO-^m) 

4.2 

5.1 

5.8 

6.4 

6.9 

x(lO^^m) 

1.9 

2.3 

2.7 

2.9 

3.2 

2.  a.  Graph  the  student’s  data  on  the  following  grid,  placing  the 
manipulated  (independent)  variable  on  the  horizontal  axis. 


24 


For 

Department 
Use  Only 


Calculate  the  slope  of  the  graph. 


Use  the  slope  or  another  suitable  averaging  procedure  to  determine 
the  best  estimate  of  the  separation  of  the  slits.  Express  your  answer 
to  two  significant  digits. 


Use  the  following  information  to  answer  question  3. 


A uniform  magnetic  field  B exists  in  the  region  between  the  poles  of  an 
electromagnet.  A beam  of  protons  with  kinetic  energy  enters  the 
region  at  right  angles  to  the  magnetic  field. 


3.  a.  Each  proton  has  an  energy  of  4.60  x 10^  eV  and  the  magnitude  of 
the  magnetic  field  is  0.21 1 T.  Calculate  the  radius  of  the  proton 
orbit,  assuming  nonrelativistic  conditions. 


For 

Department 
Use  Only 


b.  Starting  from  equations  in  the  data  booklet,  derive  an  algebraic 
expression  for  the  radius  of  the  orbit  in  terms  of  the  magnetic 
field  B,  the  mass  m,  the  charge  q,  and  the  kinetic  energy  E\^. 


Use  the  following  information  to  answer  question  4. 


A negatively  charged  ebonite  rod  was  inserted  into  a beaker  containing 
a number  of  neutral  carbon-coated  pith  balls.  The  following 
observations  were  made: 

1.  First,  when  the  ebonite  rod  was  placed  close  to  the  pith  balls,  the 
pith  balls  were  attracted  to  the  rod. 

2.  Next,  the  pith  balls  remained  in  contact  with  the  rod  for  a fraction  of 
a second. 

3.  Finally,  the  pith  balls  jumped  away  from  the  rod. 


4.  Explain  these  observations  in  terms  of  charge  distributions  and 

electrostatic  forces.  You  may  use  diagrams  as  part  of  your  explanation. 


You  may  continue  your  explanation  on  page  29. 


28 


You  have  now  completed  the  examination. 

If  you  have  time,  you  may  wish  to  check  your  answers. 


29 


Fold  and  tear  along  perforation. 


No  marks  will  be  given  for  work  done  on  this  page, 


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No  marks  will  be  given  for  work  done  on  this  page. 


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Apply  Label  Without  Student’s  Name