{"id":5648,"date":"2019-11-03T12:26:18","date_gmt":"2019-11-03T06:56:18","guid":{"rendered":"https:\/\/physicscatalyst.com\/article\/?p=5648"},"modified":"2022-11-04T12:06:29","modified_gmt":"2022-11-04T06:36:29","slug":"dimension-of-density","status":"publish","type":"post","link":"https:\/\/physicscatalyst.com\/article\/dimension-of-density\/","title":{"rendered":"What is the dimension of Density"},"content":{"rendered":"\n
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Dimensional Formula of Density<\/strong><\/span><\/h2>\n\n\n\n

In this article, we will find the dimension of density
Dimensional formula for density is
$[M^1 L^{-3}]$
Where
M -> Mass
L -> Length<\/p>\n\n\n\n

We would now derive this dimensional formula.<\/p>\n\n\n\n

Derivation for expression of Dimension of Density<\/h3>\n\n\n\n

Density is defined as the  mass per unit Volume
$\\rho= \\frac {mass}{Volume} = \\frac {m}{V}$<\/p>\n\n\n\n

Now the dimension of Mass = $[M^1]$<\/p>\n\n\n\n

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 $kg\/m^3$<\/p>\n\n\n\n

Try the free Quiz given below to check your knowledge of Dimension Analysis:-<\/p>\n\n\n\n

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Quiz on Dimensional Analysis<\/strong><\/span><\/h4>\n
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