A uniform heavy rod of weight W, cross-sectional area A and length L and having Young’s Modulus E is hanging vertically from a fixed support. Neglecting lateral contraction, the elongation of the rod is given by:

A

$$\frac{5 WL}{3AE}$$

B

$$\frac{48 WL}{AE}$$

C

$$\frac{WL}{2 AE}$$

D

$$\frac{WL}{(548AE)}$$