A series LCR circuit with inductance 10H , capacitance 10 ,...

From the given equation $V = 200\sin 100t$, the angular frequency of the source is

$\omega = 100rad{s}^{- 1}$

$⇒ ν = \dfrac{\omega}{2\pi} = \dfrac{100}{2\pi} = \dfrac{50}{\pi}Hz$

For resonance

${ν}_{0} = \dfrac{1}{2\pi\sqrt{LC}} = \dfrac{1}{2\pi\sqrt{10 \times 10 \times {10}^{- 6}}}$

$⇒ {ν}_{0} = \dfrac{100}{2\pi} = \dfrac{50}{\pi}Hz$