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The temperature of a wire of length 1 metre and area of cross-section $1c{m}^{2}$ is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be

(a) ${10}^{3}N$                     (b) ${10}^{4}N$

(c) ${10}^{5}N$                     (d) ${10}^{9}N$