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In a potentiometer arrangement, a cell of emf $1.20\, V$ gives a balance point at $36\, cm$ length of wire. This cell is now replaced by another cell of emf $1.80\, V$. The difference in balancing length of potentiometer wire in above conditions will be $....cm$.
The charge flowing through a resistance $R$ varies with time according to $Q = at -bt^2.$ The total heat produced in $R$ is : (assume that direction of current not reversed)