Q: If L, C, R represent inductance, capacitance and resistance respectively, the combinations having dimensions of frequency are:

(a) 1/√CL

(b) L/C

(c) R/L

(d) R/C

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Ans: (a) , (c)

Sol: frequency of L-C oscillations , $\displaystyle \nu = \frac{1}{2\pi \sqrt{L C}} $

As time constant in L- R circuit , $\displaystyle \tau = \frac{L}{R} $

Hence Frequency , $\displaystyle \nu = \frac{R}{L} $