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…

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