A steel meter scale is to be ruled so that millimeter intervals are accurate within about $5 imes 10^{- 5}mm$ at a certain temperature. The maximum temperature variation allowable during the ruling is (Coefficient of linear expansion of steel $= 10 imes 10^{- 6}K^{- 1}$ )

Question

A steel meter scale is to be ruled so that millimeter intervals are accurate within about $5 	imes 10^{- 5}mm$ at a certain temperature. The maximum temperature variation allowable during the ruling is (Coefficient of linear expansion of steel $= 10 	imes 10^{- 6}K^{- 1}$ )

Dr. Abubacker · Accepted Answer

(b) As we know $\alpha = \frac{\mathrm{\Delta}L}{L_{0}\mathrm{\Delta}	heta} \Rightarrow \mathrm{\Delta}	heta = \frac{\mathrm{\Delta}L}{\alpha L_{0}} = \frac{5 	imes 10^{- 5}}{10 	imes 10^{- 6} 	imes 1} = 5℃$

Q. A steel meter scale is to be ruled so that millimeter intervals are accurate within about $5 \times 10^{- 5}mm$ at a certain temperature. The maximum temperature variation allowable during the ruling is (Coefficient of linear expansion of steel $= 10 \times 10^{- 6}K^{- 1}$ )

Explanation

Reviewed by Dr. Abubacker

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