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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/( π r2YT)
2. 6F/( π r 2 YT)
3. F/(3 π r 2 YT)
4. 9F( π r 2 YT)

Correct answer: 3F/( π r2YT)

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