<p>The density and breaking stress of a wire are&nbsp;<span class="equation">\(6\times10^4kg/m^3\)</span>&nbsp;and <span class="equation">\(1.2\times10^8N/m^2\)</span>&nbsp;&nbsp;respectively. The wire is suspended from a rigid support on a planet where acceleration due to gravity is <span class="equation">\(\frac{1}{3}^{rd}\)</span>&nbsp;of the value on the surface of earth. The maximum length of the wire with breaking is _______&nbsp; m (take g = 10 <span class="equation">\(m/s^2\)</span>)​​​​​​​​​​​​​​</p>