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Q.

If a cylinder of diameter 1.0cm at 30°C is to be slid into a hole of diameter 0.9997 cm in a steel plate at the same temperature, the minimum required rise in the temperature of the plate is: (Coefficient of linear expansion of steel=12 × 10^-6/°C)

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a

25°C

b

35°C

c

45°C

d

55°C

answer is A.

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Detailed Solution

$r_{2} = r_{1} (1 + α Δt) \Rightarrow r_{2} - r_{1} = r_{1} αΔt$

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If a cylinder of diameter 1.0cm at 30°C is to be slid into a hole of diameter 0.9997 cm in a steel plate at the same temperature, the minimum required rise in the temperature of the plate is: (Coefficient of linear expansion of steel=12 × 10-6/°C)