Thermal Properties of Matter: JEE Mains 2022 June 29 Shift 2

At what temperature should a gold ring of diameter $6.230\ \text{cm}$ be heated so that it can be fitted on a wooden bangle of diameter $6.241\ \text{cm}$? Both the diameters have been measured at room temperature ($27^\circ\text{C}$). (Given : coefficient of linear thermal expansion of gold $\alpha_L=1.4\times10^{-5}\ \text{K}^{-1}$)