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

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$\frac{1}{RC}$

$\frac{R}{L}$

$\frac{C}{L}$

$\frac{1}{\sqrt{LC}}$

answer is A, B, C.

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Detailed Solution

RC has the dimensions of time, so $\frac{1}{RC}$ will have the dimensions of frequency. Similarly, $\frac{L}{R}$ has the dimensions of time, so $\frac{R}{L}$ will have will have the dimensions of frequency

Now, $\frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{\frac{L}{R} RC}} = \frac{1}{\sqrt{T \times T}} = \frac{1}{T}$ is the dimensions of frequency

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