A $1000-$kg load is hung on a wire, which has a length $L=10\mathrm{.}0m,$ Young's Modulus $E=12$:$0{10}^{10}\frac{N}{m^2}.$ If the increase in the length of the wire is $l=0\mathrm{.}006m,$ the cross sectional area $A$ of the wire is

a$)1\mathrm{.}00{10}^{-2}{m}^2$

b$)1\mathrm{.}60{10}^{-2}{m}^2$

c$)6\mathrm{.}67{10}^{-5}{m}^2$

d$)1\mathrm{.}28{10}^{-4}{m}^2$

e$)1\mathrm{.}39{10}^{-4}{m}^2$

f$)2\mathrm{.}50{10}^{-4}{m}^2.$