Physics

$L, C, R$ represent physical quantities inductance, capacitance and resistance respectively. The combinations which have the dimensions of frequency are

$1/\sqrt {LC}$

SOLUTION
As, $[R]=[ML^2T^{-3}A^{-2}], [L]=[ML^2T^{-2}A^{-2}] and [C]=[M^{-1}L^{-2}T^4A^2]$
So, $\dfrac {1}{\sqrt {LC}}=\dfrac {1}{\sqrt {(ML^2T^{-2}A^{-2})\times (M^{-1}L^{-2}T^4A^2)}}$$=\dfrac {1}{\sqrt {T^2}}=T^{-1}$

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Single Correct Medium Published on 18th 08, 2020
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