At what temperature a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm? Both the diameters have been measured at room temperature $\left(27^{\circ} \mathrm{C}\right)$.(Given: coefficient of linear thermal expansion of gold $\left.\alpha_{\mathrm{L}}=1.4 \times 10^{-5} \mathrm{~K}^{-1}\right)$