Physics

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


ANSWER

$$1/\sqrt {LC}$$


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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