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Units of physical quantities

1. State the basic, supplementary, and multiple physical units.

Solution:

Basic physical units:

Quantity Name Symbol
Length meter m
Mass kilogram kg
Time second s
Electric current
ampere A
Thermodynamic temperature
kelvin K
Amount of substance
mole mol
Luminous intensity candela cd

Supplementary physical units:

Quantity Name Symbol
Plane angle
radian rad
Solid angle
steradian sr

Multiple physical units:

giga G 109
mega M 106
kilo k 103
milli m 10-3
micro μ 10-6
nano n 10-9
pico p 10-12
hecto h 102
deca da 101
deci d 10-1
centi c 10-2


2. State the derived physical units with names.

Solution:

Derived physical units with names:

Quantity Name Symbol Other units
Frequency hertz Hz s-1
Force newton N  
Pressure pascal Pa N·m-2
Energy, work, heat
joule J N·m
Power watt W N·s-1
Electric charge
coulomb C A·s
Electric voltage
volt V J·C-1
Electric capacitance
farad F C·V-1
Electric resistance
ohm Ω V·A-1
Electric conductance siemens S A·V-1
Magnetic flux
weber Wb V·s
Inductance henry H Wb·A-1
Magnetic induction
tesla T Wb·m-2
Luminous flux
lumen lm cd·sr
Illuminance lux lx lm·m-2