PhysicsJEE Main 4 Apr 2026, Shift 2·Q9·MCQ·Moderate

Thermal Properties of Matter · Temperature and expansion

The temperature of a metal strip having coefficient of linear expansion $\alpha$ is increased from $T_1$ to $T_2$ resulting in increase of its length by $\Delta L_1$ . The temperature is further increased from $T_2$ to $T_3$ such that the increase in its length is $\Delta L_2$ .

Given $T_3 + T_1 = 2T_2$ and $T_2 - T_1 = \Delta T$ , the value of $\Delta L_2$ is .

(1) $\Delta L_1[1 + 2\alpha^2(\Delta T)^2]$
(2) $\Delta L_1[1 + \alpha^2(\Delta T)^2]$
(3) $\Delta L_1[1 + 2\alpha\,\Delta T]$
(4) $\Delta L_1[1 + \alpha\,\Delta T]$

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Thermal Properties of Matter · Temperature and expansion

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