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Calculate the stress developed inside a ...

Calculate the stress developed inside a tooth cavity filled with copper when hot tea at temperature of `57^(@)C` is drunk. You can take body (tooth) temperature to be `37^(@)Canda=1.7xx10^(-5)//""^(@)C`, bulk modulus for copper = `140xx10^(9)N//m^(2)`.

Text Solution

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Stress = K `xx` strain = `K(DeltaV)/V=K(3alpha)Deltat`
= `140xx10^(9)xx3xx1.7xx10^(-5)xx20`
= `1.428xx10^(8)N//m^(2)`
This is about `10^(3)` times atmospheric pressure.
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