A steel ball of diameter 30.015 mm is to be passed through an aluminium ring of inner…

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

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 TT so that the ball just slips through. Given αsteel=1.2×10−5 K−1\alpha_{\text{steel}} = 1.2\times10^{-5}\,\text{K}^{-1} and αAl=2.4×10−5 K−1\alpha_{\text{Al}} = 2.4\times10^{-5}\,\text{K}^{-1}, the required temperature TT of the ring is approximately (a) 41∘C41^\circ\text{C} (b) 33∘C33^\circ\text{C} (c) 27∘C27^\circ\text{C} (d) 46∘C46^\circ\text{C}

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