A piece of ice falls from a height \(h\) so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice, and all energy of ice gets converted into heat during its fall. The value of \(h\) is: (Latent heat of ice is \(3.4\times10^5\) J/kg and \(g=10\) N/kg)

Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at \(100~^{\circ}\text{C},\) while the other one is at \(0~^{\circ}\text{C}.\) If the two bodies are brought into contact, then assuming no heat loss, the final common temperature is: