A rod, of length L at room temperature and uniform area of cross section A, is made…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

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: (1)

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

(2)

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

(3)

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

(4)

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