If a cylinder a diameter $1.0\ cm$ at $30℃$ is to be fitted 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 $= 12 imes 10^{- 6}/℃$)

Question

If a cylinder a diameter $1.0\ cm$ at $30℃$ is to be fitted 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 $= 12 	imes 10^{- 6}/℃$)

Dr. Abubacker · Accepted Answer

(a) $	heta = \frac{\mathrm{\Delta}L}{L_{0}\mathrm{\Delta}\alpha} = \frac{(1 - 0.9997)}{0.9997 	imes 12 	imes 10^{- 6}} = 25℃$

Q. If a cylinder a diameter $1.0\ cm$ at $30℃$ is to be fitted 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 $= 12 \times 10^{- 6}/℃$)

Explanation

Reviewed by Dr. Abubacker

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