A uniform chain of length \( L \) and mass \( M \) is lying on a smooth table and one-third of i...

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A uniform chain of length \( L \) and mass \( M \) is lying on a smooth table and one-third of its length is hanging vertically down over the edge of the table. If \( g \) is acceleration due to gravity, work required to pull the hanging part on to the table is
(a) \( M g L \)
(b) \( \frac{M g L}{3} \)
(c) \( \frac{M g L}{9} \)
(d) \( \frac{M g L}{18} \)
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