A steel meter scale is to be ruled so th...

A steel meter scale is to be ruled so that millimetre intervals are accurate within about `5xx10^-5` m at a certain temperature. The maximum temperture variation allowable during the ruling is (coefficient of linear expansion of steel =`10xx10^-6K^-1`

`2^0C`

`5^0C`

`7^0C`

`10^0C`

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The correct Answer is:

Change in temperature ,`/_\t=(/_\L)/(alphal)`
and `/_\L=5xx10^-5m,alpha=10xx10^-6//^oC`
Initial length L=1m
`/_\ t=(5xx10^-5)/(10xx10^-6xx1)=5^0C`

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