Physics

If $$C$$ and $$L$$ denote the capacitance and inductance, the dimensions of $$LC$$ are


ANSWER

$$[M^0L^0T^{2}]$$


SOLUTION
The frequency $$v$$ of a circuit consisting of capacitance and inductance is given as $$v=\dfrac {1}{2\pi \sqrt {LC}}$$
So, $$[LC]=\dfrac {1}{(2\pi v)^2}=\dfrac {1}{(T^{-1})^2}=[T^2]=[M^0L^0T^2]$$
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