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Units and Dimensions

Physics Formula

Units and Dimensions (physics) Formula, Definition PDF

In order to make the measurement of a physical quantity, we have, first of all, to evolve a standard for that measurement so that different measurements of same physical quantity can be expressed relative to each other. That standard is called a unit of that physical quantity.

 

Units and Dimensions (physics) Formula, Definition PDF

Units and Dimensions

Units and Dimensions (physics) Formula, Definition PDF for Class 9th, 10th, 11th, 12th

PHYSICAL QUANTITY SYMBOL DIMENSION MEASUREMENT UNIT UNIT
Length s L Meter m
Mass M M Kilogram Kg
Time t T Second Sec
Electric charge q Q Coulomb C
luminous intensity I C Candela Cd
Temperature T K Kelvin oK
Angle

 

q none Radian None
Mechanical Physical Quantities (derived)
PHYSICAL QUANTITY SYMBOL DIMENSION MEASUREMENT  UNIT UNIT
Area A L2 square meter m2
Volume

 

V L3 cubic meter m3
velocity

 

v L/T meter per second m/sec
angular velocity

 

w T-1 radians per second 1/sec
acceleration

 

a LT-2 meter per square second m/sec2
angular acceleration a T-2 radians per square

second

1/sec2
Force

 

F MLT-2  Newton Kg m/sec2
Energy

 

E ML2T-2  Joule Kg m2/sec2
Work

 

W  

ML2T-2

Joule Kg m2/sec2
Heat

 

Q  

ML2T-2

Joule Kg m2/sec2
Torque

 

t ML2T-2 Newton meter Kg m2/sec2
Power

 

P ML2T-3 watt  or  joule/sec Kg m2/sec3
Density

 

D or ρ ML3 kilogram per

cubic meter

Kg/m3
pressure

 

P     ML-1T2 Newton per square meter Kg m-1/sec2
impulse

 

J MLT-1 Newton second Kg m/sec
Inertia

 

I ML2 Kilogram square meter

 

Kg m2

 

luminous

flux

f

 

C lumen (4Pi candle for point source) cd sr
illumination

 

E CL2 lumen per

square meter

cd sr/m2
entropy

 

S        ML2T2K-1 joule per degree Kg m2/sec2K
Volume

rate of flow

Q L3T-1 cubic meter

per second

m3/sec
kinematic

viscosity

n L2T-1 square meter m2/sec
per second
dynamic

viscosity

m

 

      ML-1T-1

 

Newton second

per square meter

Kg/m sec

 

specific

weight

g   ML2T2 Newton

per cubic meter

Kg m-2/sec2
Electrical Physical Quantities (derived)
Electric

current

I QT-1 Ampere C/sec
emf, voltage,

potential

E ML2T2Q-1 Volt Kg m2/sec2C
resistance or

impedance

R

 

ML2T-1Q2

 

ohm

 

Kgm2 /secC2

 

Electric

conductivity

s M2L2TQ2 mho

 

secC2/Kg m3

 

capacitance

 

C M-1L2T2 Q2 Farad sec2C2/Kgm2
inductance

 

L ML2Q2 Henry Kg m2 /C2
Current density

 

J

 

QT-1L2

 

ampere per

square meter

C/sec m2

 

Charge density r QL3 coulomb per cubic meter C/m3
magnetic flux,

Magnetic induction

B MT-1Q-1 weber per

square meter

Kg/sec C
magnetic

intensity

H QL-1T-1 ampere per meter C/m sec
magnetic vector

potential

A MLT-1Q-1 weber/meter Kg m/sec C
Electric

field intensity

E MLT2Q-1 volt/meter or

newton/coulomb

Kg m/sec2 C
Electric displacement D QL2 coulomb per square meter C/m2
permeability

 

m MLQ2 henry per meter Kg m/C2
permittivity, e T2Q2M-1L3 farad per meter sec2C2/Kgm3

 

dielectric constant

 

K     M0L0T0  None  None
frequency

 

f or n T-1 Hertz sec-1
angular frequency W T-1 radians per second sec-1

 

Wave length

 

l L Meters M
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