Question

A metal rod of length ????and cross-sectional area ????is heated through $???? \, {^{\circ}C}$. What is the force required to prevent the expansion of the rod lengthwise ? [Y = Young's modulus of the material of rod , $\alpha$ = coefficient of linear expansion]

• A. $\frac{Y A \alpha T}{(1 - \alpha T)}$
• B. $\frac{Y A \alpha T}{(1 + \alpha T)}$
• C. $\frac{(1 - \alpha T)}{Y A \alpha T}$
• D. $\frac{(1 + \alpha T)}{Y A \alpha T}$

Answer 1

The Correct Option is B

Answer (b) $\frac{Y A \alpha T}{(1 + \alpha T)}$