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A brass rod has a length of 150 cm at 40...

A brass rod has a length of 150 cm at `40^(@)C`. What will be its length at `100^(@)C`? The coefficient of linear expansion of brass is `18 times 10^(-6@)C^(-1)`.

Text Solution

Verified by Experts

`l_(2)=l_(1){l+alpha(t_(2)-t_(1))}`
Given, `l_(1)=150 cm, t_(1)=40^(@)C, t_(2)=100^(@)C, alpha=18 times 10^(-6@)C^(-1)`
`therefore " " l_(2)=150{1+18 times 10^(-6)(100-40)}`
`" " =150{1+108 times 10^(-5)}=150 times 1.00108`
`" "` =150.162 cm.
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