If L , C and R denote the inductance, capacit | vedclass

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Question

$[{C^2}LR]$ $= \left[ {{C^2}{L^2}\frac{R}{L}} \right]$ $=\left[ {{{(LC)}^2}\left( {\frac{R}{L}} \right)} \right]$
$f = \frac{1}{{2\pi }}\frac{1}{{\sq

Vedclass · Accepted Answer

$[{M^0}{L^0}{T^3}{I^0}]$

Vedclass · Answer

$[{C^2}LR]$ $= \left[ {{C^2}{L^2}\frac{R}{L}} \right]$ $=\left[ {{{(LC)}^2}\left( {\frac{R}{L}} \right)} \right]$
$f = \frac{1}{{2\pi }}\frac{1}{{\sqrt {LC} }}$
$LC = [{T^2}]\, \frac{L}{R} = [T]$. $\left[ {{{(LC)}^2}\left( {\frac{R}{L}} \right)} \right]\, $ $= \,{[{T^2}]^2}[{T^{ - 1}}] = [{T^3}]$ .

If $L , C$ and $R$ denote the inductance, capacitance and resistance respectively, the dimensional formula for $C ^{2} LR$ is

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