At 30°C a steel plug has diameter 5.010 cm and the inside diameter of a brass ring is 5.000 cm. Find the common temperature at which the plug just fits, in °C. α steel = 1.2 × 1 0 − 5 , α brass =

Question

At 30°C a steel plug has diameter 5.010 cm and the inside diameter of a brass ring is 5.000 cm. Find the common temperature at which the plug just fits, in °C. α steel ​ = 1.2 × 1 0 − 5 , α brass ​ = 1.9 × 1 0 − 5 per °C. Choose the correct value.

TestHub · Accepted Answer

5.010 ( 1 + 1.2 × 1 0 − 5 x ) = 5.000 ( 1 + 1.9 × 1 0 − 5 x ) gives 0.010 = x ( 9.5 × 1 0 − 5 − 6.012 × 1 0 − 5 ) = 3.488 × 1 0 − 5 x , so x = 286. 7 ∘ C and T = 316. 7 ∘ C . Option B.

Physics - Heat & Thermo Question with Solution | TestHub

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