Question

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) equals to :
(A) 9F/(πr²YT) (B) F/(3πr²YT)
(C) 3F/(πr²YT) (D) 6F/(πr²YT)

Answer 1

Answer:

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) equals to :

(A) 9F/(πr²YT)

(B) F/(3πr²YT)

(C) 3F/(πr²YT)

(D) 6F/(πr²YT)

Answer 2

Answer:

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) equals to :

(A) 9F/(πr²YT)

(B) F/(3πr²YT)

(C) 3F/(πr²YT)

(D) 6F/(πr²YT)