Question

is dimentional formula 2L=L² is false​

Answer 1

Explanation:

Yes the dimensional formula 2L = L^2 is False.

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Answer 2

$\large\mathfrak \red{Given:-}$

$\: \: \: \: \: \: \tt{is \: dimentional \: formula} \\ \: \: \: \: \: \: \tt{2L = {L}^{2} \: is \: false. }$

$\large\mathfrak \red{Answer:-}$

$\: \: \: \: \: \: \tt{False.}$

$\tt \underline{Let's \: find \: out.}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt \red{How \: ? }$

$</p><p> \: \: \: \: \: \: \tt{" Only \: product \: of \: any} \\ \: \: \: \: \: \: \tt{ dimensions \: be \: take \: not \: add } \\ \: \: \: \: \: \: \tt{ to \: any \: dimensions"}</p><p>$

$\tt{So, } \\ </p><p></p><p> \: \: \: \: \: \: \tt{It \: not \: write \: in \: the \: form \: of }$

$\: \: \: \: \: \: \tt{2L \cancel{= } {L}^{2}. }$

$\large\mathfrak \red{Some \: Examples}$

$\: \: \: \: \: \: \tt{E= M{C }^{2} .}$

$\tt{where as, } \\ </p><p></p><p></p><p> \: \: \: \tt{E= Energy.} \\ </p><p></p><p> \: \: \: \tt{M= Mass.} \\ </p><p></p><p> \: \: \: \tt{C= Speed of Light.}$

$\: \: \: \: \: \: \tt{E= M{C }^{2} .}$

$\: \: \: \: \: \: \tt{ {M }^{1} {L }^{1} {T }^{ - 2} .L} = M. {( \frac{L}{T} )}^{2} .$

$\: \: \: \: \: \: \tt{ {M }^{1} {L }^{2} {T }^{ - 2} } = {M }^{1} {L }^{2} {T }^{ - 2}$