Physics

If $$L, R, C$$ and $$V$$ respectively represent inductance, resistance, capacitance and potential difference, then the dimensions of $$\dfrac { L }{ RCV } $$ are the same as those of:


ANSWER

$$\dfrac { 1 }{ Current } $$


SOLUTION
$$L= ML^{2}I^{-2}T^{-2}$$
$$R= ML^{2}I^{-2}T^{-3}$$
$$C= M^{-1}L^{-2}I^{2}T^{4}$$
$$V= ML^{2}I^{-1}T^{-3}$$
$$
\dfrac{L}{RCV}=\dfrac{ML^{2}I^{-2}T^{-2}}{(ML^{2}I^{-2}T^{-3})(M^{-1}L^{-2}I^{2}T^{4})(ML^{2}I^{-1}T^{-3})}$$
$$\dfrac{L}{RCV}=M^{0}L^{0}T^{0}I^{-1}=\dfrac{1}{current}$$
Hence, option D is currect.
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Single Correct Medium Published on 18th 08, 2020
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