List of data, formulae and relationships
Data
molar gas constant
Avogadro constant
acceleration due to gravity
R = 8.31 J K-1 mol-1
NA = 6.02  1023 mol-1
g = 9.81 m s-2 (close to the Earth)
speed of light in vacuum
charge of electron
electron rest mass
permittivity of free space
permeability of free space
c = 3.00  108 m s-1
e = 1.60  10-19 C
me = 9.11  10-31 kg
o = 8.85  10-12 C2 N-1 m-2
o = 4  10-7 H m-1
Rectilinear motion
Mathematics
For uniformly accelerated motion :
Equation of a straight line y  m x  c
v  u  at
s  ut 
1 2
at
2
v 2  u 2  2a s
Arc length = r 
Surface area of cylinder = 2  r h  2  r 2
Volume of cylinder
= r2 h
Surface area of sphere
= 4r2
Volume of sphere
=
For small angles,
energy transfer
during heating and
cooling
energy transfer
during change of state
4 3
r
3
sin   tan    (in radians)
D2.
E
Q
4 o r 2
electric field due to a
point charge
D3.
V 
Q
4 o r
electric potential due
to a point charge
V
d
electric field between
parallel plates
(numerically)
general current flow
equation
resistance and
resistivity
A1.
E  m c T
A2.
E  lm
A3.
PV  n R T
A4.
1
N m c2
3
3 RT
EK 
2N A
v  p
F m

t
t
kinetic theory
equation
molecular kinetic
theory
Force
D7.
R  R1  R2
resistors in series
B2.
moment = F  d
moment of a force
D8.
1
1
1


R R1 R2
resistors in parallel
B3.
Ep  m g h
gravitational potential
energy
D9.
P  IV
power in a circuit
A5.
B1.
PV 
equation of state for
an ideal gas
D4.
D5.
D6.
E
I  n Av Q
R
l
A
 I2 R
S5 Final Examination - List of data, formulae and relationships P.1
1
mv2
2
B4.
EK 
B5.
P Fv
B6.
a
B7.
C1.
W
t
v2
 2 r
r
G m1 m2
F
r2
y
D
a
C2.
d sin   n 
C3.
1 1 1
 
u v f
D1.
F
Q1 Q2
4  o r 2
kinetic energy
D10.
mechanical power
D11.
F  BIl sin 
centripetal
acceleration
D12.
Newton's law of
gravitation
D13.
BI
nQt
 I
B o
2r
 NI
B o
l
fringe width in
double-slit
interference
diffraction grating
equation
equation for a single
lens
D14.
F  BQv sin 
V
D15.

N
t
D16.
VS N S

VP N P
force on a moving
charge in a magnetic
field
force on a current
carrying conductor in
a magnetic field
Hall voltage
magnetic field due to
a long straight wire
magnetic field inside
long solenoid
induced e.m.f.
ratio of secondary
voltage to primary
voltage in a
transformer
Coulomb’s law
S5 Final Examination - List of data, formulae and relationships P.2