A homogeneous chain of length L lies on a table. The coefficient of friction between chain and table is $\mu$. The maximum length which can hang over the table in equilibrium is ( The vertical portion of table is smooth)

Question

$$(a)\;\bigg(\frac{\mu}{\mu+1}\bigg)L \quad (b)\;\bigg(\frac{1-\mu}{\mu}\bigg)L \quad (c)\;\bigg(\frac{1-\mu}{1+\mu}\bigg)L \quad (d)\;\bigg(\frac{2\mu}{2\mu+1}\bigg)L$$