A brass ring has an inner diameter of at

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A brass ring has an inner diameter of

5.975\,\text{cm}

25^{\circ}\text{C}

. A steel shaft has a diameter of

6.000\,\text{cm}

at the same temperature. If

\alpha_{\text{brass}} = 2.0\times10^{-5}\,\text{K}^{-1}

and

\alpha_{\text{steel}} = 1.2\times10^{-5}\,\text{K}^{-1}

, to what temperature must the brass ring be heated (the shaft is kept at

25^{\circ}\text{C}

) so that the ring just fits over the shaft?