In a series L C R circuit, the inductance L is 10 mH , capacitance C is 1 μF and resistance R is 100 Ω . The…

Resonance occurs when the value of inductive and capacitive reactances have equal magnitude but a phase difference of $180°$.

Therefore, resonance frequency $$\begin{gathered} =\frac{1}{2\pi \sqrt{LC}} \\ =\frac{1}{2\pi \sqrt{\left(10\times {10}^{-3}\right)\times \left(1\times {10}^{-6}\right)}} \\ =1.591\times {10}^3 \\ \approx 1.59 \mathrm{kHz} \end{gathered}$$