The density and breaking stress of a wire are 6 × 10^4 kg / m^3 and 1.2 × 10^8 N / m^2 respectively. The wire is suspended from a rigid support on a…

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