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 :
(1) 3F/(πr2YT)
(2) 6F/(πr2YT)
(3) F/(3πr2YT)
(4) 9F(πr2YT)
