Elasticity

The Young's modulus of a rubber string of length \(12 \mathrm{~cm}\) and density \(1.5 ~\mathrm{kgm}^{-3}\) is \(5 \times 10^8 ~\mathrm{Nm}^{-2}\). When this string is suspended vertically, the increase in its length due to its own weight is (Take, \(g=10 \mathrm{~ms}^{-2}\) )