A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of linear expansion $\alpha $/oC. It is observed that an external compressive force F, is applied on each of its ends, prevents any change in the length of the rod, when its temperature rises by $\Delta $TK. Young's modulus, Y, for this metal is :

Question

A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of linear expansion $\alpha $/^oC. It is observed that an external compressive force F, is applied on each of its ends, prevents any change in the length of the rod, when its temperature rises by $\Delta $TK. Young's modulus, Y, for this metal is :

${F \over {A\alpha \Delta T}}$

${F \over {A\alpha (\Delta T - 273)}}$

${F \over {2A\alpha \Delta T}}$

${{2F} \over {A\alpha \Delta T}}$

Solution

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