Physics

Problem

A steel ball of diameter 30.015 mm is to be passed through an aluminium ring of inner diameter 30.000 mm. Both are initially at 25 °C. The ball is cooled to 0 °C, and the ring is simultaneously heated to a temperature

T

so that the ball just slips through. Given

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

and

\alpha_{\text{Al}} = 2.4\times10^{-5}\,\text{K}^{-1}

, the required temperature

T

of the ring is approximately a)

41^\circ\text{C}

33^\circ\text{C}

27^\circ\text{C}

46^\circ\text{C}

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