Physical Quantity And Their Dimensional Formula

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Physical Quantity And Their Dimensional Formula

⇒What is Physical Quantities ?

Physical Quantities are the property of a material or system that can be measured. For example Force, Acceleration, Mass etc.

⇒Types of Physical Quantities

There are mainly three types of Physical Quantities. These are as follows:

Fundamental Physical Quantities.
Derived Physical Quantities.
Supplementary Physical Quantities.

1. Fundamental Physical Quantities

Fundamental Physical Quantities are those measurable quantities which do not required any other physical quantities to express itself.

Here are some Fundamental Physical Quantities with its dimensional symbol:

Fundamental Physical Quantities
Physical Quantities	SI Unit	Dimensional Symbol
Mass	Kilogram -Kg	[ M ]
Time	Second -Sec	[ T ]
Length	Meter -m	[ L ]
Temperature	Kelvin -K	[ Θ ]
Luminous Intensity	Candela -cd	[ J ]
Amount Of Substance	Mole -Mol	[ N ]
Electric Current	Ampere -A	[ I ]

2. Derived Physical Quantities

Derived Physical Quantities are those measurable quantities which can be expressed in terms of fundamental physical quantities.

Here are some derived physical quantities with their dimensional formula:

Derived Physical Quantities
Physical Quantities	SI Units	Dimensional Formula
1. Force	( N ) $kgms^{-2}$	$\left [ M^{1} L^{1} T^{-2} \right ]$
2. Velocity	$ms^{-1}$	$\left [ M^{1}L^{1}T^{-1} \right ]$
3. Volume	$m^{3}$	$\left [ M^{0}L^{3}T^{0} \right ]$
4. Area	$m^{2}$	$\left [ M^{0}L^{2}T^{0} \right ]$
5. Density	$kgm^{-3}$	$\left [ M^{1}L^{3}T^{0} \right ]$
6. Energy	Joule ( j )	$\left [ M^{1}L^{2}T^{-2} \right ]$
7. Power	Watt $js^{-1}$	$\left [ M^{1}L^{2}T^{-3} \right ]$
8. Time Period	$s^{-1}$	$\left [ M^{0}L^{0}T^{-1} \right ]$
9. Pressure	atm $kgm^{-1}s^{-2}$	$\left [ M^{1}L^{-1}T^{-2} \right ]$