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An L-shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If \( \mathrm{AB}=\mathrm{BC} \), and the angle made by \( \mathrm{AB} \) with downward vertical is \( \theta \), then:
A \( \tan \theta=\frac{2}{\sqrt{3}} \)
B \( \tan \theta=\frac{1}{3} \)
C \( \tan \theta=\frac{1}{2} \)
D \( \tan \theta=\frac{1}{2 \sqrt{3}} \)
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