Units Dimensions Error 3
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The document discusses units and dimensions in physics, detailing fundamental and derived quantities along with their equations, units, and dimensional representations. It covers various physical quantities such as mass, length, time, electric current, and numerous derived quantities like velocity, force, energy, and electric charge. The information is organized systematically to aid understanding of mechanical, thermal, and electrical properties in relation to physical measurements.
![Physics Helpline
L K Satapathy
Units and Dimensions
Units Dimensions Error 3
of
Physical Quantities
Mechanical Quantities in [ M L T ]
Thermal Quantities in [ M L T K ]
Electrical Quantities in [ M L T A ]](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-1-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Fundamental Quantities
1 0 0
[ ]M L T01 Mass Fundamental Kilogram
Sl. No Physical Quantity Equation Unit Dimensions
0 1 0
[ ]M L T02 Length Fundamental Meter
0 0 1
[ ]M L T03 Time Fundamental Second
0 0 0 1
[ ]M L T A
04
Electric current Fundamental Ampere
0 0 0 1
[ ]M L T K
05
Temperature Fundamental Kelvin](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-2-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Derived Quantities
0 1 1
[ ]M L T
06 Velocity
Sl. No Physical Quantity Equation Unit Dimensions
0 1 2
[ ]M L T
07 Acceleration
1 1 1
[ ]M L T
08 Momentum
1 1 2
[ ]M L T
09 Force Newton
1 2 2
[ ]M L T
10 Work Joule
v S t
1
.m s
a v t 2
.m s
.p mv
1
. .kg m s
.F m a
.W F S](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-3-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Derived Quantities
1 2 3
[ ]M L T
11 Power
Sl. No Physical Quantity Equation Unit Dimensions
1 1 2
[ ]M L T
12 Pressure
1 1 1
[ ]M L T
13 Impulse
1 2 2
[ ]M L T
14 Torque
1 3 0
[ ]M L T
15 Density
Pascal
W t Watt
F A
.F t .N s
.F r
Mass vol
.N m
3
.kg m](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-4-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Derived Quantities
1 1 2
[ ]M L T
16 Stress
Sl. No Physical Quantity Equation Unit Dimensions
17 Strain
1 1 2
[ ]M L T
18 Elastic Modulus
1 0 2
[ ]M L T
19 Force const
1 2 2
[ ]M L T 20 P E , K E
Stress / Strain
F A
L L
2
.N m
F L
21,
2
mgh mv
Unitless Dimensionless
2
.N m
Joule
1
.N m](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-5-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Derived Quantities
0 0 1
[ ]M L T
21 Velocity gradient
Sl. No Physical Quantity Equation Unit Dimensions
22 Rate of flow
1 0 2
[ ]M L T
23 Surface Tension
1 0 2
[ ]M L T
24 Surface energy
25 Coeff of friction
Volume /time
Work / Area
v L
1
s
F L
F R
2
.J m
1
.N m
3 1
.sm 0 3 1
[ ]M L T
Unitless Dimensionless](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-6-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Derived Quantities
26 Angle
Sl. No Physical Quantity Equation Unit Dimensions
27 Angular velocity
0 0 2
[ ]M L T
28 Angular acceleration
1 2 1
[ ]M L T
29 Angular momentum
30 Frequency
l r
t
t
1f T
2 1
. .kg m s
0 0 1
[ ]M L T
L mvR
Hertz
DimensionlessRadian
Radian/sec
Radian/sec2
0 0 1
[ ]M L T ](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-7-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Derived Quantities
31 Areal velocity
Sl. No Physical Quantity Equation Unit Dimensions
32 Angular wave number
1 3 2
[ ]M L T
33 Gravitational const.
0 1 2
[ ]M L T
34 Gravitational Field
35 Gravitational Potential
Force/mass
Energy/mass
Area/time
2k
2 2
G FR M
1
.N kg
0 1 0
[ ]M L T
0 2 2
[ ]M L T
2 1
.m s 0 2 1
[ ]M L T
1
m
2 2
. .N m kg
1
.J kg](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-8-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Derived Quantities
36 Moment of inertia
Sl. No Physical Quantity Equation Unit Dimensions
37 Coeff of viscosity
1 1 1
[ ]M L T
38 Fluidity
0 2 1
[ ]M L T
39 Kinematic viscosity
40 Planck’s const (h)
Deca poise
2
I MR
6F rv
1
2 1
.m s
1 1 1
[ ]M L T
1 2 1
[ ]M L T
2
.kg m
1 2 0
[ ]M L T
1
( )Deca poise
.J s
E h f](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-9-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Derived Quantities
41 Thermal capacity
Sl. No Physical Quantity Equation Unit Dimensions
42 Coeff of thermal
conductivity
43 Gas Constant (R)
44 Specific heat
45 Stefan’s const ()
Q ms
Q kA t d
PV nT
2 4
. .W m K
1
.J K 1 2 2 1
[ ]M L T K
1 1
. .J K mol
4
E T
1 1
. .W m K 1 1 3 1
[ ]M L T K
1 2 2 1
[ ]M L T K
s Q m 1 1
. .J Kg K 0 2 2 1
[ ]M L T K
1 0 3 4
[ ]M L T K ](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-10-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Derived Quantities
46 Electric Charge
Sl. No Physical Quantity Equation Unit Dimensions
47 Electric Field
48 Electric Flux
49 Potential Difference
50 Potential Gradient
Q I t
E F q
.E E A
1
.V m
0 0 1 1
[ ]M L T A
V L
1
.N C 1 1 3 1
[ ]M L T A
1 3 3 1
[ ]M L T A
.V E L
Coulomb
2 1
. .N m C
Volt 1 2 3 1
[ ]M L T A
1 1 3 1
[ ]M L T A ](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-11-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Derived Quantities
51 Line charge density
Sl. No Physical Quantity Equation Unit Dimensions
52 Surface charge density
53 Volume charge density
54 Capacitance
55 Permittivity ()
q L
2 1 2
. .C N m
0 1 1 1
[ ]M L T A
2 2
4F q r
C q V Farad 1 2 4 2
[ ]M L T A
1 3 4 2
[ ]M L T A
1
.C m
q A 2
.C m 0 2 1 1
[ ]M L T A
0 3 1 1
[ ]M L T A3
.C m
q vol ](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-12-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Derived Quantities
56
Resistance
Sl. No Physical Quantity Equation Unit Dimensions
57
Resistivity
58
Current density
59
Electrical Conductivity60
Conductance
J I A 0 2 0 1
[ ]M L T A
RA L
1 3 3 2
[ ]M L T A
2
.A m
R V I
1 2 3 2
[ ]M L T A
1
1 R
1
1 2 3 2
[ ]M L T A
.m
1 1
.m
1 3 3 2
[ ]M L T A ](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-13-320.jpg)
![Physics Helpline
L K Satapathy Units Dimensions Error 3
Derived Quantities
61
Magnetic Flux
Sl. No Physical Quantity Equation Unit Dimensions
62
Inductance ( L )
63
Magnetic Induction
64
Inductive Reactance65
Magnetic Permeability
B F qv
1 0 2 1
[ ]M L T A
LX L
Tesla
BA B Weber
1
. .T m A
2B I r
1 2 2 1
[ ]M L T A
1 1 2 2
[ ]M L T A
1 2 2 2
[ ]M L T A
1 2 3 2
[ ]M L T A
.L I B
1
.Wb A](https://image.slidesharecdn.com/ude3-160724064447/85/Units-Dimensions-Error-3-14-320.jpg)
Units Dimensions Error 3
- 1. Physics Helpline L K Satapathy Units and Dimensions Units Dimensions Error 3 of Physical Quantities Mechanical Quantities in [ M L T ] Thermal Quantities in [ M L T K ] Electrical Quantities in [ M L T A ]
- 2. Physics Helpline L K Satapathy Units Dimensions Error 3 Fundamental Quantities 1 0 0 [ ]M L T01 Mass Fundamental Kilogram Sl. No Physical Quantity Equation Unit Dimensions 0 1 0 [ ]M L T02 Length Fundamental Meter 0 0 1 [ ]M L T03 Time Fundamental Second 0 0 0 1 [ ]M L T A 04 Electric current Fundamental Ampere 0 0 0 1 [ ]M L T K 05 Temperature Fundamental Kelvin
- 3. Physics Helpline L K Satapathy Units Dimensions Error 3 Derived Quantities 0 1 1 [ ]M L T 06 Velocity Sl. No Physical Quantity Equation Unit Dimensions 0 1 2 [ ]M L T 07 Acceleration 1 1 1 [ ]M L T 08 Momentum 1 1 2 [ ]M L T 09 Force Newton 1 2 2 [ ]M L T 10 Work Joule v S t 1 .m s a v t 2 .m s .p mv 1 . .kg m s .F m a .W F S
- 4. Physics Helpline L K Satapathy Units Dimensions Error 3 Derived Quantities 1 2 3 [ ]M L T 11 Power Sl. No Physical Quantity Equation Unit Dimensions 1 1 2 [ ]M L T 12 Pressure 1 1 1 [ ]M L T 13 Impulse 1 2 2 [ ]M L T 14 Torque 1 3 0 [ ]M L T 15 Density Pascal W t Watt F A .F t .N s .F r Mass vol .N m 3 .kg m
- 5. Physics Helpline L K Satapathy Units Dimensions Error 3 Derived Quantities 1 1 2 [ ]M L T 16 Stress Sl. No Physical Quantity Equation Unit Dimensions 17 Strain 1 1 2 [ ]M L T 18 Elastic Modulus 1 0 2 [ ]M L T 19 Force const 1 2 2 [ ]M L T 20 P E , K E Stress / Strain F A L L 2 .N m F L 21, 2 mgh mv Unitless Dimensionless 2 .N m Joule 1 .N m
- 6. Physics Helpline L K Satapathy Units Dimensions Error 3 Derived Quantities 0 0 1 [ ]M L T 21 Velocity gradient Sl. No Physical Quantity Equation Unit Dimensions 22 Rate of flow 1 0 2 [ ]M L T 23 Surface Tension 1 0 2 [ ]M L T 24 Surface energy 25 Coeff of friction Volume /time Work / Area v L 1 s F L F R 2 .J m 1 .N m 3 1 .sm 0 3 1 [ ]M L T Unitless Dimensionless
- 7. Physics Helpline L K Satapathy Units Dimensions Error 3 Derived Quantities 26 Angle Sl. No Physical Quantity Equation Unit Dimensions 27 Angular velocity 0 0 2 [ ]M L T 28 Angular acceleration 1 2 1 [ ]M L T 29 Angular momentum 30 Frequency l r t t 1f T 2 1 . .kg m s 0 0 1 [ ]M L T L mvR Hertz DimensionlessRadian Radian/sec Radian/sec2 0 0 1 [ ]M L T
- 8. Physics Helpline L K Satapathy Units Dimensions Error 3 Derived Quantities 31 Areal velocity Sl. No Physical Quantity Equation Unit Dimensions 32 Angular wave number 1 3 2 [ ]M L T 33 Gravitational const. 0 1 2 [ ]M L T 34 Gravitational Field 35 Gravitational Potential Force/mass Energy/mass Area/time 2k 2 2 G FR M 1 .N kg 0 1 0 [ ]M L T 0 2 2 [ ]M L T 2 1 .m s 0 2 1 [ ]M L T 1 m 2 2 . .N m kg 1 .J kg
- 9. Physics Helpline L K Satapathy Units Dimensions Error 3 Derived Quantities 36 Moment of inertia Sl. No Physical Quantity Equation Unit Dimensions 37 Coeff of viscosity 1 1 1 [ ]M L T 38 Fluidity 0 2 1 [ ]M L T 39 Kinematic viscosity 40 Planck’s const (h) Deca poise 2 I MR 6F rv 1 2 1 .m s 1 1 1 [ ]M L T 1 2 1 [ ]M L T 2 .kg m 1 2 0 [ ]M L T 1 ( )Deca poise .J s E h f
- 10. Physics Helpline L K Satapathy Units Dimensions Error 3 Derived Quantities 41 Thermal capacity Sl. No Physical Quantity Equation Unit Dimensions 42 Coeff of thermal conductivity 43 Gas Constant (R) 44 Specific heat 45 Stefan’s const () Q ms Q kA t d PV nT 2 4 . .W m K 1 .J K 1 2 2 1 [ ]M L T K 1 1 . .J K mol 4 E T 1 1 . .W m K 1 1 3 1 [ ]M L T K 1 2 2 1 [ ]M L T K s Q m 1 1 . .J Kg K 0 2 2 1 [ ]M L T K 1 0 3 4 [ ]M L T K
- 11. Physics Helpline L K Satapathy Units Dimensions Error 3 Derived Quantities 46 Electric Charge Sl. No Physical Quantity Equation Unit Dimensions 47 Electric Field 48 Electric Flux 49 Potential Difference 50 Potential Gradient Q I t E F q .E E A 1 .V m 0 0 1 1 [ ]M L T A V L 1 .N C 1 1 3 1 [ ]M L T A 1 3 3 1 [ ]M L T A .V E L Coulomb 2 1 . .N m C Volt 1 2 3 1 [ ]M L T A 1 1 3 1 [ ]M L T A
- 12. Physics Helpline L K Satapathy Units Dimensions Error 3 Derived Quantities 51 Line charge density Sl. No Physical Quantity Equation Unit Dimensions 52 Surface charge density 53 Volume charge density 54 Capacitance 55 Permittivity () q L 2 1 2 . .C N m 0 1 1 1 [ ]M L T A 2 2 4F q r C q V Farad 1 2 4 2 [ ]M L T A 1 3 4 2 [ ]M L T A 1 .C m q A 2 .C m 0 2 1 1 [ ]M L T A 0 3 1 1 [ ]M L T A3 .C m q vol
- 13. Physics Helpline L K Satapathy Units Dimensions Error 3 Derived Quantities 56 Resistance Sl. No Physical Quantity Equation Unit Dimensions 57 Resistivity 58 Current density 59 Electrical Conductivity60 Conductance J I A 0 2 0 1 [ ]M L T A RA L 1 3 3 2 [ ]M L T A 2 .A m R V I 1 2 3 2 [ ]M L T A 1 1 R 1 1 2 3 2 [ ]M L T A .m 1 1 .m 1 3 3 2 [ ]M L T A
- 14. Physics Helpline L K Satapathy Units Dimensions Error 3 Derived Quantities 61 Magnetic Flux Sl. No Physical Quantity Equation Unit Dimensions 62 Inductance ( L ) 63 Magnetic Induction 64 Inductive Reactance65 Magnetic Permeability B F qv 1 0 2 1 [ ]M L T A LX L Tesla BA B Weber 1 . .T m A 2B I r 1 2 2 1 [ ]M L T A 1 1 2 2 [ ]M L T A 1 2 2 2 [ ]M L T A 1 2 3 2 [ ]M L T A .L I B 1 .Wb A
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