Physics
Data Booklet
For use in National Qualification Courses
leading to the 2006 examinations and beyond
2004 edition
Price: £1.50
Publication code: BB2099
ISBN: 1 85969 478 0
Published by the Scottish Qualifications Authority
Hanover House, 24 Douglas Street, Glasgow G2 7NQ, and Ironmills Road, Dalkeith,
Midlothian EH22 1LE
The information in this publication may be reproduced in support of SQA qualifications. If it
is reproduced, SQA should be clearly acknowledged as the source. If it is to be used for any
other purpose, then written permission must be obtained from the Publications Officer at
SQA. It must not be reproduced for trade or commercial purposes.
© Scottish Qualifications Authority 2004
i
Copies are available from the Customer Contact Centre at SQA, telephone 0845 279 1000
ii
Contents
Page
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Relationships required for Access 3 and/or Intermediate 1 Physics . . . . . . . . . . . . . . . . . . . . . . 2
Relationships required for Standard Grade and or Intermediate 2 Physics . . . . . . . . . . . . . . . . . 3
Relationships required for Higher Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Relationships required for Advanced Higher Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Additional relationships . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Electron arrangements of elements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
iii
Preface
This data booklet is intended for use by candidates in examinations in Physics at Standard Grade,
Intermediate 1, Intermediate 2, Higher and Advanced Higher levels from the 2006 examination diet.
It is recommended that candidates become familiar with the contents of the data booklet through use
in undertaking Units of these Courses, including Physics Units at Access 3.
The range of data contained in the booklet has been limited to syllabus content which may be
assessed through written examination papers. This data should be supplemented by other resource
material as necessary during the course, eg by using data sheets. However, should any additional
information (or data not included in this booklet) be required in an examination, it will be included
in the examination paper.
Additional relationships, which candidates may find useful, are given on page 8.
A periodic table of elements is included on page 9.
From the variety of data offered in this booklet, candidates will be expected to demonstrate the
ability to select an appropriate:
◆
◆
◆
formula
relationship
element or data pertaining to an element
1
Relationships required for Access 3 and/or
Intermediate 1 Physics
5HODWLRQVKLSVUHTXLUHGIRU$FFHVVDQGRU,QWHUPHGLDWH3K\VLFV
UHVLVWDQFH =
FXUUHQW =
VSHHG =
YROWDJH
FXUUHQW
SRZHU
YROWDJH
GLVWDQFH
WLPH
YROWDJHJDLQ =
RXWSXWYROWDJH
LQSXWYROWDJH
ZHLJKW = × PDVV GLVWDQFH
DYHUDJHVSHHG =
WLPH
2
Relationships required for Standard Grade and/or
Intermediate 2 Physics
5HODWLRQVKLSVUHTXLUHGIRU6WDQGDUG*UDGHDQGRU,QWHUPHGLDWH3K\VLFV
=
+
+ 57 5 5
G = YW V= YW D=
æ 5 ö
÷÷9V 9 = çç
5
+
5
è ø
∆Y
W
9 5
=
9 5 Y −X
D=
W
3 = ,9 : =PJ 3 = , 5 ) =PD S=PY 3=
( Z =)G 9
5 ( S =PJK ,S
Q V 9V
=
=
QS 9S
,V
(N = PY 9 JDLQ =
9R
9L
3JDLQ =
3R
3L
(
3= W
SHUFHQWDJHHIILFLHQF\ =
XVHIXO(R
× (L
SHUFHQWDJHHIILFLHQF\ =
XVHIXO3R
× 3L
( K =FP∆7 Y = Iλ 3=
I $=
1
W
'=
(
P
( K =PO 4 = ,W 9 = ,5 + = 'Z5 57 = 5 + 5 + 3
5HODWLRQVKLSVUHTXLUHGIRU+LJKHU3K\VLFV
Relationships required for Higher
D=
Physics
5 5
=
5 5 ∆Y
W
Y = X + DW 9 = ,5 V = XW + DW 3 = ,9 = , 5 =
Y = X + DV V=
(X + Y )W ) =PD ( Z =)G ( S =PJK (N = PY (
3= W
S=PY 9 SHDN = 9UPV , SHDN = , UPV &=
4
9
( = 49 = &9 =
9R = 9 − 9 7=
39
= FRQVWDQW 7
: = 49 ( = 9 + ,U Σ ( = Σ ,5 57 = 5 + 5 + =
+
+ 57 5 5
5I
5
I
SDWKGLIIHUHQFH = ( Q + ) λ G VLQ θ = Qλ Q=
VLQ θ
VLQ θ VLQ θ λ Y
=
= VLQ θ λ Y
VLQ θ F =
,=
4
4
&
SDWKGLIIHUHQFH=Qλ )
3= $
3 = ρJK 5I
9R
=−
9
5
)W = PY − PX P
ρ= 9
9
5
N
G
Q
5HODWLRQVKLSVUHTXLUHGIRU+LJKHU3K\VLFV
Relationships required for Higher
Physics
( = KI , = 1KI (N = KI − KI : − : = KI ( = PF $=
1
W
'=
(
P
+ = 'Z5 +
+& = W
UDQGRPXQFHUWDLQW\ = PD[YDOXH − PLQYDOXH
QXPEHURI YDOXHV
5
5HODWLRQVKLSVUHTXLUHGIRU$GYDQFHG+LJKHU3K\VLFV
Relationships required for Advanced Higher
GY G V
D=
=
GW GW Y = X + DW / = ,ω (URW = ,ω )=
Y = X + DV 9 =−
PR
Y
− F
Y=
*P
U
*P
U
ω = ʌI ( = PF G\
= −ω \ GW
Gθ
ω=
GW
Gω G θ
= α=
GW
GW
ω = ω R + αW θ = ωR W + αW ω = ωR + αθ \ = $ FRV ωW RU \ = $ VLQ ωW Y = Uω ($
Y = ±ω
)
− \ (
( S = Pω \ K
S
PYU =
DW = Uα QK
π
Y
DU =
= Uω U
)=
44
πε R U PY )=
= PUω U
(=
4
πε R U 7 = )U 9=
4
πε R U
7 = ,α ) = 4( / = PYU = PU ω )
(N = Pω $ − \ λ=
V = Uθ 6
*PP
U
V = XW + DW P=
Physics
5HODWLRQVKLSVUHTXLUHGIRU$GYDQFHG+LJKHU3K\VLFV
Relationships required for Advanced Higher
Physics
9 = (G RSWLFDO SDWKGLIIHUHQFH=Pλ ) = ,O% VLQ θ RSWLFDO SDWKGLIIHUHQFH = ( P + ) λ µR ,
πU
∆[ =
) µ R , , =
O
πU
G=
%=
λ
Q
) = TY% ∆[ =
ε = − / G, GW
λO
G
λ'
G
Q = WDQ L S ( = /, [ö
æ
\ = $ VLQ πç IW − ÷ λø
è
∆; = ∆< + ∆= ö
÷÷ ø
∆P =
P − P
(Q − )
æ Y ± YR ö
I = IV ç
÷
è Y ø
∆F =
F − F
(Q − )
æ Y
I = I V çç
è Y ± YV
Φ=
∆;
æ ∆< ö æ ∆= ö
= ç
÷ +ç
÷ ;
è < ø è = ø
ʌ[
λ
7
$GGLWLRQDOUHODWLRQVKLSV
Additional
relationships
Circle
&LUFOH
FLUFXPIHUHQFH = π U I [ I [ DUHD = π U VLQ D[ D FRV D[ FRV D[ − D VLQ D[ 6SKHUH
Sphere
DUHD = πU YROXPH = πU 7ULJRQRPHWU\
Trigonometry
RSSRVLWH
VLQ θ =
K\SRWHQXVH
DGMDFHQW
FRVθ =
K\SRWHQXVH
WDQ θ =
RSSRVLWH
DGMDFHQW
VLQ θ + FRV θ = Moment
of inertia
0RPHQWRILQHUWLD
SRLQWPDVV
, = PU URGDERXWFHQWUH
, = PO URGDERXWHQG
, = PO GLVFDERXWFHQWUH
, = PU VSKHUHDERXWFHQWUH
, = PU 8
7DEOHRIVWDQGDUGGHULYDWLYHV
7DEOHRIVWDQGDUGLQWHJUDOV
I [ ò I [G[ VLQ D[ − FRV D[ + & D
FRV D[ VLQ D[ + & D
9