$\begin{array}{1 1} 2 \sin \theta \sqrt {\frac{\pi \lambda gL}{\mu_0 \cos \theta}} \\ 2 \sqrt{\frac{\pi gL}{\mu_0} \tan \theta} \\ \sqrt{\frac{\pi \lambda g L}{\mu_0} \tan \theta} \\ \sin \theta \sqrt {\frac{\pi \lambda g L}{\mu_0 \cos \theta }}\end{array} $