One end of a copper rod of uniform cross-section and of length 3.1 m is kept in contact with ice and the other end with water at `100° C` . At what point along it's length should a temperature of `200° C` be maintained so that in steady state, the mass of ice melting be equal to that of the steam produced in the same interval of time. Assume that the whole system is insulated from the surroundings. Latent heat of fusion of ice and vaporisation of water are 80 cal/gm and 540 cal/gm respectively

Options

A. 21.3 cm from `100^(@)C` end
B. 40 cm from `0^(@)C` end
C. 125 cm from `100^(@)C` end
D. 125 cm from `0^(@)C` end

Answer

A