Properties of Solids and Liquids: JEE Main 2024 Physics question

The density and breaking stress of a wire are $6 \times 10^4 \mathrm{~kg} / \mathrm{m}^3$ and $1.2 \times 10^8 \mathrm{~N} / \mathrm{m}^2$ respectively. The wire is suspended from a rigid support on a planet where acceleration due to gravity is $\frac{1}{3}^{\text {rd }}$ of the value on the surface of earth. The maximum length of the wire with breaking is _______ $\mathrm{m}$ (take, $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$).