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True or False: Dimensional analysis can give you the numerical

value of constants of proportionality that may appear in an algebraic expression.

Verified Answer :

antek

Dimensional analysis is a method of checking the dimensions of each value in  an equation. I will give you an example.

\(E=mc^2\)

Is a know equation which equates energy and mass. So our question is, is this true or not? The method is following:

knowing that c has the dimension of [m/s] and m has [kg], what is the dimension of E? So here the dimensional analysis begins.

\(E = mc^2 \Rightarrow [E] = \text{kg} \cdot \left( \frac{\text{m}}
{\text{s}}\right)^2 = \text{kgms}^{-2}\)

This can be used also to solve "equations" to prove certain dimensions of unknown constants.

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