Hail stone at  $0^{\circ }\text{c}$ falls from a height of 1 Km on an insulating surface converted whole of its kinetic energy into heat. What part of it will melt?   ${\text{(g=10m/s}}^{\text{2}}\text{)}$

$\begin{array}{rcl} & & Potential energy of hail stone is converted to heat that melts hails stone\\ potential energy of hail stone & =& JmL\\ here m is mass of hail stone;L& =& latent heat of fusion of ice=330x{10}^{3}Jk{g}^{-1}\\ & & W=JQ\\ & & \text{mgh=Jm'L}\\ m\text{'}& =& \frac{mgh}{L}\\ m\text{'}& =& \frac{m\times 10x1000}{330x{10}^3}\\ m\text{'}& =& \frac{m}{33}\\ & & \end{array}$