1 Kcal of heat flowing through a rod of iron. When the rod is cut down to 4 pieces then what will be the heat flowing through each piece having same differential temperature?

Step-by-step solution

We know that the heat flowing through a conductor is given by aligned Q t & =-K A ( d d x ) Q & =-K A ( d d x ) t aligned Where aligned K & = thermal conductivity of the material A & = area of cross-section d d x & = temperature gradient t & = time aligned Now if we cut the rod into 4 pieces, A remains same K remains same, d d x is said to be same, so for same time t, Q is going to be same as earlier.