A long iron rod
initially at a temperature of `20^circ`C has one end dipped in boiling water
(`100^circ`C) at time, t = 0. The curved surface of the rod is insulated so
that heat conduction is one dimensional in the axial direction. The
temperature at a distance 100 mm from the dipped end becomes `40^circ`C at
time, t = 200 s. The same temperature is achieved at a distance of 200
mm from the dipped end at time
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