The graph of two conductors of same materials connected in series justify (i) which one has more resistance (ii)Which one will produce more heat?

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Solution

According to the graph, Slope of wire $A$ is greater

$\begin{matrix} s l o p e = \frac{d y}{d x} = \frac{V}{I} R = \frac{V}{I} = s l o p e \end{matrix}$

Hence, wire $A$ has great resistance.

The heat produced by resistor is given by $P = I^{2} R T$ . So, it is directly proportional to the square of current passing through it, Resistance and time for which the current passes through the conductor.
Hence, wire $A$ will produce more heat.

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