A thick rope of density `rho` and length L is hung from a rigid support. The Young's modulus of the material of the rope is Y. The increased in length of the rope due to its own weight is

Options

A. (A) `1/4 rho g L^2//Y`
B. (B) `1/2 rho g L^2//Y`
C. (C) `rho g L^2//Y`
D. (D) `rho g L//Y`

Answer

B