JEE Main 2024 — 5 April, Shift 1 — Question 53

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 $\frac{1^{\mathrm{rd}}}{3}$ of the value on the surface of earth. The maximum length of the wire with breaking is $\qquad$ m (take, $\mathrm{g}=$ $\left.10 \mathrm{~m} / \mathrm{s}^{2}\right)$