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Dimensional Formula of Density
In this article, we will find the dimension of density
Dimensional formula for density is
$[M^1 L^{-3}]$
Where
M -> Mass
L -> Length
We would now derive this dimensional formula.
Derivation for expression of Dimension of Density
Density is defined as the mass per unit Volume
$\rho= \frac {mass}{Volume} = \frac {m}{V}$
Now the dimension of Mass = $[M^1]$
Now Dimension of Volume = $ [L^3]$
Hence Dimension of Density is given by
$\text {Dimension of Density}= \frac {[M^1]} {[L^3]} = [M^1 L^{-3}]$
Unit of Density is $kg/m^3$
Try the free Quiz given below to check your knowledge of Dimension Analysis:-
Quiz on Dimensional Analysis
Related Articles and references
- New Simplified Physics by SL Arora : I highly recommend this book for class 11 Physics students. It is easy to understand with lots of solved problems.
- Dimensional Analysis:- a very good website for physics concepts
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