1. Tardigrade
  2. Question
  3. Physics
  4. A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of linear expansion α / °C. It is observed that an external compressive force F, is applied on each of its ends, prevents any change in the length of the rod, when its temperature rises by Δ T K. Young's modulus, Y, for this metal is :

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A rod, of length $L$ at room temperature and uniform area of cross section $A$, is made of a metal having coefficient of linear expansion $\alpha / {^{\circ}C}$. It is observed that an external compressive force $F$, is applied on each of its ends, prevents any change in the length of the rod, when its temperature rises by $\Delta T K$. Young's modulus, $Y$, for this metal is :

JEE MainJEE Main 2019Thermal Properties of Matter

Solution:

Young's modulus $y = \frac{\text{Stress}}{\text{Strain}} $
$ =\frac{F/A}{\left(\Delta \ell/\ell\right)} $
$ = \frac{F}{A\left(\alpha \Delta T\right)}$