The given graph shows variation with time in the source voltage V and steady state current I drawn by a series RLC circuit. Which of the following statements is/are correct?

Current lags voltage 
$\mathcal{l}=i_0\sin \omega t,i_0=0.4A$ 
At  $t=0,v-100\Rightarrow V=V_0\sin (\omega t+\varphi )$
$\varphi =\frac{\pi }{6}\omega =\frac{2\pi }{20\times {10}^{-3}}$ 
$R=Z_0\cos \varphi \Rightarrow \frac{V_0}{{\mathcal{l}}_0}\cos \frac{\pi }{6}=250\sqrt{3}$ 
 $X_L-X_C=Z_0\sin \varphi \Rightarrow \omega L-74-\frac{200}{0.4}\times \frac{1}{2}\Rightarrow L=1030mH$
${\rho }_{av}=\frac{{\mathcal{l}}_0^2}{2}R=\frac{{0.4}^2}{2}\times 250\sqrt{3}=20\sqrt{3}$