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Find the stress developed inside a too...

Find the stress developed inside a tooth cavity filled with copper when hot tea at temperature of `57^(2)C` is drunk. (Take temperature of tooth to be `37.^(@)C, alpha = 1.7 xx 10^(-5) .^(@)C^(-1)` and bulk modulus for copper `= 140 xx 10^(9) Nm^(-2)`)

Text Solution

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Stress K `xx ` strain = K `(Delta V)/(V ) = K (3 alpha ) Delta t `
` = 140 xx 10^(9) xx 3 xx 1.7 xx 10^(-5) xx 20`
`= 1.428 xx 10^(8) N//m^(2)`
This is about `10^(3)` times atmospheric pressure.
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