A steel rod \( 25 \mathrm{~cm} \) long has a cross-sectional area of \( 0.8 \mathrm{~cm}^{2} \)....

A steel rod \( 25 \mathrm{~cm} \) long has a cross-sectional area of \( 0.8 \mathrm{~cm}^{2} \). What force would be required to stretch this rod by the same amount as the expansion produced by heating it by \( 10^{\circ} \mathrm{C} \) ? Given that for steel coefficient of linear expansion and Youngs modulus are given as \( \alpha=1.1 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1} \) and \( Y=2 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2} \).