Question

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

• A. 25°C
• B. 35°C
• C. 45°C
• D. 55°C

Answer 1

Answer: (A)

25°C

Answer 2

$\alpha = \frac{\Delta L}{L_{0}\Delta\theta} = \frac{(1 - 0.9997)}{0.9997 \times 12 \times 10^{- 6}} = 25{^\circ}C$