maths alevel formulas 
* O C E / 2 6 2 9 0 *
Data, Formulae and Relationships Booklet
(Revised Version 2.1)
GCE Advanced Level and Advanced Subsidiary
Physics A
Physics units G481, G482, G484, G485
Instructions to Exams Officer/Invigilator
•
Do not send this Data Sheet for marking; it should be retained in the centre or destroyed.
These data, formulae and relationships are for the use of candidates following the Physics A specification.
Clean copies of this booklet must be available in the examination room, and must be given up to the invigilator at the end of the examination.
Copies of this booklet may be used for teaching.
© OCR 2010
GCE Physics A
DC (SLM) 26290/8
CST255
Data
Values are given to three significant figures, except where more are useful. speed of light in a vacuum
c
3.00 × 108 m s–1
permittivity of free space
ε0
8.85 × 10–12 C2 N–1 m–2 (F m–1)
elementary charge
e
1.60 × 10–19 C
Planck constant
h
6.63 × 10–34 J s
gravitational constant
G
6.67 × 10–11 N m2 kg–2
Avogadro constant
NA
6.02 × 1023 mol–1
molar gas constant
R
8.31 J mol–1 K–1
Boltzmann constant
k
1.38 × 10–23 J K–1
electron rest mass
me
9.11 × 10–31 kg
proton rest mass
mp
1.673 × 10–27 kg
neutron rest mass
mn
1.675 × 10–27 kg
alpha particle rest mass
mα
6.646 × 10–27 kg
acceleration of free fall
g
9.81 m s–2
© OCR 2010
GCE Physics A
CST255
Conversion factors unified atomic mass unit
1 u = 1.661 × 10–27 kg
electron-volt
1 eV = 1.60 × 10–19 J
1 day = 8.64 × 104 s
1 year ≈ 3.16 × 107 s
1 light year ≈ 9.5 × 1015 m
Mathematical equations arc length = rθ circumference of circle = 2pr area of circle = pr 2 curved surface area of cylinder = 2prh volume of cylinder = pr 2h surface area of sphere = 4pr2
4
volume of sphere = pr 3
3
Pythagoras’ theorem: a2 = b2 + c2
For small angle θ ⇒ sinθ ≈ tanθ ≈ θ and cosθ ≈ 1 lg(AB) = lg(A) + lg(B)
A
lg( ) = lg(A) – lg(B)
B
ln(xn) = n ln(x) ln(ekx) = kx
© OCR 2010
GCE Physics A
CST255
Formulae and relationships
Unit 1 –
Data, Formulae and Relationships Booklet
(Revised Version 2.1)
GCE Advanced Level and Advanced Subsidiary
Physics A
Physics units G481, G482, G484, G485
Instructions to Exams Officer/Invigilator
•
Do not send this Data Sheet for marking; it should be retained in the centre or destroyed.
These data, formulae and relationships are for the use of candidates following the Physics A specification.
Clean copies of this booklet must be available in the examination room, and must be given up to the invigilator at the end of the examination.
Copies of this booklet may be used for teaching.
© OCR 2010
GCE Physics A
DC (SLM) 26290/8
CST255
Data
Values are given to three significant figures, except where more are useful. speed of light in a vacuum
c
3.00 × 108 m s–1
permittivity of free space
ε0
8.85 × 10–12 C2 N–1 m–2 (F m–1)
elementary charge
e
1.60 × 10–19 C
Planck constant
h
6.63 × 10–34 J s
gravitational constant
G
6.67 × 10–11 N m2 kg–2
Avogadro constant
NA
6.02 × 1023 mol–1
molar gas constant
R
8.31 J mol–1 K–1
Boltzmann constant
k
1.38 × 10–23 J K–1
electron rest mass
me
9.11 × 10–31 kg
proton rest mass
mp
1.673 × 10–27 kg
neutron rest mass
mn
1.675 × 10–27 kg
alpha particle rest mass
mα
6.646 × 10–27 kg
acceleration of free fall
g
9.81 m s–2
© OCR 2010
GCE Physics A
CST255
Conversion factors unified atomic mass unit
1 u = 1.661 × 10–27 kg
electron-volt
1 eV = 1.60 × 10–19 J
1 day = 8.64 × 104 s
1 year ≈ 3.16 × 107 s
1 light year ≈ 9.5 × 1015 m
Mathematical equations arc length = rθ circumference of circle = 2pr area of circle = pr 2 curved surface area of cylinder = 2prh volume of cylinder = pr 2h surface area of sphere = 4pr2
4
volume of sphere = pr 3
3
Pythagoras’ theorem: a2 = b2 + c2
For small angle θ ⇒ sinθ ≈ tanθ ≈ θ and cosθ ≈ 1 lg(AB) = lg(A) + lg(B)
A
lg( ) = lg(A) – lg(B)
B
ln(xn) = n ln(x) ln(ekx) = kx
© OCR 2010
GCE Physics A
CST255
Formulae and relationships
Unit 1 –