At what temperature should 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 (27 °C). Given: Coefficient of linear thermal expansion of gold \( \alpha = 1.4 \times 10^{-5} \, \text{K}^{-1} \).
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The linear thermal expansion formula \( \Delta L = L_0 \alpha \Delta T \) is used to calculate the change in length (or diameter) of an object due to a temperature change. Ensure that the units of \( \Delta T \) are consistent (Kelvin or Celsius).