A uniform rod of length $L$ has a mass per unit length $\lambda$ and area of cross-section $A$. If the Young's modulus of the rod is $Y$. Then elongation in the rod due to its own weight is ...........
  • A$\frac{2 \lambda g L^2}{A Y}$
  • B$\frac{\lambda g L^2}{2 A Y}$
  • C$\frac{\lambda g L^2}{4 A Y}$
  • D$\frac{\lambda g L^2}{A Y}$
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