A uniform chain is at rest partially on the incline and partially hanging vertically. Coefficient of friction between chain and incline is $\mu = \frac{1}{{2\sqrt 3 }}$. The ratio of $\frac{{{L_{\max }}}}{{{L_{\min }}}}$ is $(L_{max} =$ maximum length of chain kept on inclined so that chain remains at rest, $L_{min} =$ minimum length of chain kept on incline so that chain remains at rest)
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