A substance breaks down under a stress of ${10}^5$ Pa. If the density of the substance is $2\times {10}^3\mathrm{Kg}/{\mathrm{m}}^3$ , find the minimum length of the wire made of this substance which will break under its own weight (g= 10 $\mathrm{m}/{\mathrm{s}}^2$)

• A

  10 m

• B

  2.5 m

• C

  4 m

• D

  5 m