Science
Equations
Dd
Ee
||
Ff
de Broglie Equation
λ
=
h
p
de Moivre's theorem
e
i
⁢
θ
=
cos
⁢
 
θ
+
i
⁢
sin
⁢
θ
Debye-Waller Factor
F
=
F
0
⁢
exp
⁢
(
-
Q
2
u
2
/
3
)
Decay Law
N
=
N
0
e
-
λt
Decibel
n
=
10
⁢
 
log
10
(
I
1
I
2
)
=
20
⁢
 
log
10
(
P
1
P
2
)
Decineper
d
=
ln
x
1
x
2
Density
ρ
=
m
v
Density Change
ρ
θ
=
ρ
0
(
1
+
γθ
)
Destructive Interference
path
⁢
 
difference
=
2
mλ
+
λ
2
Dielectric Loss
W
=
ω
C
V
2
tan
⁢
δ
Diffraction Grating
a
⁢
sin
⁢
θ
m
=
m
⁢
λ
Diffusion Coefficient
D
=
D
0
e
-
E
kT
D
=
x
2
t
Dispersivity, dispersive power
d
=
n
2
-
n
1
n
¯
-
1
Displacement
D
=
ε
0
E
+
P
Displacement, equations of motion
s
=
vt
s
=
ut
+
1
2
a
t
2
Displacement, Simple Harmonic Motion
x
=
r
⁢
sin
 
ω
⁢
t
Dissipation Factor
tan
 
δ
=
σ
ωε
Dittus-Boelter Equation
u
∝
c
(
k
Δ
s
d
)
1
3
(
vd
u
s
)
1
12
Doppler effect(light)
f
L
=
c
-
v
c
+
v
f
s
λ
L
=
c
+
v
c
-
v
λ
S
Doppler effect (sound)
f
L
c
+
v
L
=
f
S
c
+
v
s
λ
L
c
+
v
s
=
λ
S
c
+
v
L
Doppler Effect - Observed Frequency
f
0
=
f
s
V
-
V
0
(
+
W
)
V
-
V
s
(
+
W
)
Drude Law
α
=
k
λ
2
+
λ
0
2
Dühring's Rule
t
′
=
a
+
bt
Ee
Dd
||
Ff
Effective Half Life
τ
(
b
1
2
)
τ
(
r
1
2
)
τ
(
b
1
2
)
+
τ
(
r
1
2
)
Einstein Diffusion Equation
D
=
δ
2
2
τ
=
RT
6
πηr
N
A
Einstein equation for the specific heat of a solid
C
v
optical
=
n
⁢
k
B
x
2
e
x
(
e
x
-
1
)
2
Einstein Mass Energy Equation
E
2
=
p
2
c
2
+
m
2
⁢
c
4
E
⁢
 
 
=
m
c
2
Einstein Photoelectric Equation
E
=
hv
-
φ
Einstein Potential Energy Equation
hf
=
h
f
0
+
1
2
m
v
2
Elastic Constant
E
=
2
G
(
1
+
v
)
=
3
K
(
1
-
2
v
)
Elasticity Modulus
-
V
δ
⁢
p
δ
⁢
V
Electrical Heating
H
=
V
⁢
It
Electric Field Strength
E
=
-
∇
V
Electric Field Strength
F
=
q
⁢
E
Electrical heating
H
=
V
⁢
It
Electromagnetic Force on Electron
F
=
Bev
Electron Mass
m
=
m
0
1
-
(
v
c
)
2
Electrostatic Force on Electron
F
=
eE
Ellipse, Area of
A
=
π
r
1
r
2
Energy/Degree of Freedom
E
=
1
2
kT
Energy density of a magnetic field
u
=
1
2
ε
0
c
2
B
2
Energy density of an electric field
u
=
1
2
ε
0
E
2
Energy Gain
F
=
eV
Energy, Kinetic
E
K
=
1
2
m
v
2
Energy, Gravitational Potential
E
P
=
mgh
Energy of Capacitor
E
=
1
2
Q
⁢
V
=
1
2
C
⁢
V
2
Energy of photon
E
=
h
⁢
f
Equations of Motion
s
=
v
⁢
t
s
=
u
⁢
t
+
1
2
a
⁢
t
2
v
2
=
u
2
+
2
a
⁢
s
⁢
v
=
u
+
a
⁢
t
Equilateral Triangle, Area of
A
=
h
2
3
3
⁢
 
 
 
 
 
=
a
2
3
4
⁢
Ertel Potential Vorticity
q
=
v
(
ω
+
2
Ω
)
.
∇
Ψ
Escape Velocity
v
escape
=
2
GM
R
Euler Buckling Limit
X
=
π
2
EI
L
2
Euler's Formula
P
=
π
2
EI
(
min
)
L
2
Exhaust Velocity
v
e
=
I
sp
g
Exner Function
P
=
(
P
P
0
)
γ
-
1
γ
Ff
Dd
||
Ee
Faraday Constant
F
=
N
A
⁢
e
Faraday induction law
E
.
d
⁢
I
=
-
d
⁢
φ
d
⁢
t
E
.
d
I
=
-
L
d
⁢
I
d
⁢
t
Feedback Factor
V
out
V
in
=
-
A
1
-
β
⁢
A
Feedback Ratio
β
=
e
f
e
0
Fermi-Dirac distribution law
f
(
ε
)
=
1
exp
[
(
ε
-
μ
)
/
k
B
T
]
+
1
Fick's Laws of Diffusion
⁢
 
J
=
D
∇
x
⁢
 
∂
ρ
∂
t
=
D
∇
2
ρ
First Law of Thermodynamics
Δ
⁢
U
=
Δ
⁢
Q
+
Δ
⁢
W
Force Between Two Charges
F
=
Q
1
Q
2
4
πε
d
2
Force, Electromagnetic, on Electron
F
=
Bev
Force, Electrostatic, on Electron
F
=
eE
Force on a Charge
F
=
QE
Force on a Current
d
⁢
F
=
I
(
d
⁢
I
×
B
)
F
=
B
⁢
I
⁢
l
⁢
sin
⁢
θ
F
=
QV
d
Free Volume
V
f
=
V
-
V
0
Frequency of vibration of stretched string
f
=
n
2
l
T
μ
Frequency(closed tube)
f
=
c
4
l
(
2
n
+
1
)
Frequency(open tube)
f
=
c
2
l
n
Fresnel reflection coefficients
|
R
|
2
=
sin
2
(
i
-
r
)
sin
2
(
i
+
r
)
for incident wave polarised perpendicularly to plane of incidence
|
R
|
2
=
tan
2
(
i
-
r
)
tan
2
(
i
+
r
)
⁢
for incident wave polarised parallel to plane of incidence
Freundlich adsorption isotherm
θ
=
a
p
1
/
b
Froude's Transition Curve
y
=
x
3
6
lr
Fundamental Frequency
(closed tube)
f
=
v
4
l
Dd
|
Ee
|
Ff
To the top
A to C
| D to F |
G to I
|
J to M
|
N to Q
|
R to T
|
U to Z
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