Sarthaks Test
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Calculate the stress developed inside a tooth cavity filled with copper when hot tea at temperature of 57oC is drunk. You can take body (tooth) temperature to be 37o C and α = 1.7× 10-5/oC, bulk modulus for copper = 140 × 10 9 N/m2.

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Best answer

Stress = K × strain

= K(ΔV/V)

=K(3α)Δt

= 140 x 109 x 3 x 1.7 x 10-5 x 20

= 1.428 x 108 N/m2 

This is about 103 times atmospheric pressure

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