Q. A metal bar of length $L$ and area of cross-section $A$ is clamped between two rigid supports. For the material of the rod, its Young’s modulus is $Y$ and coefficient of linear expansion is $\alpha$. If the temperature of the rod is increased by $\mathrm{\Delta}t℃$, the force exerted by the rod on the supports is
A) $Y\ AL\ \mathrm{\Delta}t$
B) $Y\ A\ \alpha\ \mathrm{\Delta}t$
C) $\frac{YL\ \alpha\mathrm{\Delta}t}{A}$
D) $Y\ \alpha\ AL\ \mathrm{\Delta}t$
Explanation
The correct answer is Option B: $Y\ A\ \alpha\ \mathrm{\Delta}t$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.