question_answer

A metal rod of Young's modulus Y and coefficient of thermal expansion \[\alpha \] is held at its two ends such that its length remains invariant. If its temperature is raised by t°C, the linear stress developed in its is :          [AIEEE 11-05-2011]

A) \[\frac{Y}{\alpha t}\]                 

B)      \[Y\alpha t\]

C) \[\frac{1}{(Y\alpha t)}\] 

D)      \[\frac{\alpha t}{Y}\]

Correct Answer: B

Solution :

[b] and

So,

Thermal stress