Physics

Problem

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\text{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: a.

\frac{F}{A \alpha \Delta T}

\frac{F}{A \alpha (\Delta T - 273)}

\frac{F}{2A \alpha \Delta T}

\frac{2F}{A \alpha \Delta T}