Q. If $L, C$ and $R$ represent inductance, capacitance and resistance respectively, then which of the following does not have the dimension of the frequency?

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A

$\frac{1}{R C}$

B

$\frac{1}{\sqrt{L C}}$

C

$\frac{C}{L}$

D

$\frac{R}{L}$

Solution:

we have $f =\frac{1}{2 \pi \sqrt{ LC }} $
$\therefore \frac{C}{L}$ has no dimension of frequency

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