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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:

a)

9F/( YT)

b)

3F/( YT)

c)

F/(3 YT)

d)

6F/( YT)

 



Question ID - 51529 | SaraNextGen Top 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) equal to:

a)

9F/( YT)

b)

3F/( YT)

c)

F/(3 YT)

d)

6F/( YT)

 

1 Answer
127 votes
Answer Key / Explanation : (b) -

Y =  ⇒ 

 

 

127 votes


127