Properties of Solids and Liquids: JEE Main 2025 Physics question

Consider a rectangular sheet of solid material of length $l = 9$ cm and width $d = 4$ cm. The coefficient of linear expansion is $\alpha = 3.1\times10^{-5}\ \mathrm{K^{-1}}$ at room temperature and one atmospheric pressure. The mass of sheet $m = 0.1$ kg and the specific heat capacity $C_v = 900\ \mathrm{J\,kg^{-1}K^{-1}}$. If the amount of heat supplied to the material is $8.1\times10^2$ J then change in area of the rectangular sheet is :