A meter scale made of steel , reads accirately at `25 ^(@) C ` Suppose in an experiment an accuracy of 0.06 mm in 1 m is required , the range of temperature in which the experiment can be performed with this meter scale is ( Coefficient of linear expansion of steel is `11xx10 ^(-6) // ""^(@) C `)

Options

A. `19 ^@ C " to " 31 ^@ C`
B. `25 ^@ C "to" 32 ^(@) C `
C. `18 ^(@ ) C to 25 ^(@) C `
D. `18 ^(@) C to 32 ^(@) C `

Answer

A

Explanation

Given coefficient of linear expansion of steel ,
` alpha = 11 xx 10 ^(-6) // ""^(@) C `
We know that ,
` Delta l =6xx 10 ^(-5) mimplies l =1 m`
` Delta t =( 6xx10 ^(-5))/(1xx11xx10 ^(-6))`
` = 5.45 ^(@) C `
So , the range of temperature in which the experiment can be hence performed him this metre scale will be `19 ^(@) C " to " 31 ^(@) C `
Here, option (a) is correct .