A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity equals Y. When this rod is heated by temperature T and simultaneously subjected to a net longitudinal compressional force F, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to :

Question

${{3F} \over {\left( {\pi {r^2}YT} \right)}}$

${{6F} \over {\left( {\pi {r^2}YT} \right)}}$

${F \over {\left( {3\pi {r^2}YT} \right)}}$

${9F\left( {\pi {r^2}YT} \right)}$

Solution

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