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Calculate the stress developed inside a tooth cavity that filled with copper. When hot tea at temperature `57^(@)`C is drunk. You can take body (tooth) temperature to be `37^(@)`C and `alpha = 1.7 xx 10^(-5//""^(@))C` bulk modules for copper = `140 xx 10^(9) Nm^(–2)`.

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Thermal stress = Kx strain = `(KDeltaV)/(V)`
Now , `" " gamma= (DeltaV)/(VDeltaT) or (DeltaV)/(V)=gammaDeltaT`
Thermal stress `=K gamma DeltaT= 3K alpha DeltaT " " [because gamma=3alpha]`
`=3xx140xx10^(9)xx1.7xx10^(-5)xx20`
`=1.428xx10^(8)Nm^(2)`
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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^(@)C and alpha_(Cu) = 1.7 xx 10^(-5)//^(@)C bulk modulus for copper B_(Cu) = 140 xx 10^(9) N//m^(2) .

What is the thermal 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^(@)C and alpha_(Cu) = 1.7 xx 10^(-5)//^(@)C and bulk modulus for copper = 14 xx 10^(10) N//m^(2) .

What is the percentage change in length of 1m iron rod it its temperature changes by 100^(@)C. alpha for iron is 2 xx 10^(-5)//"^(@)C .

A wire of cross sectional area 3 mm^(2) is just stretched between two fixed points at a temperature of 20^(@)C . Then the tension in the wire when the temperature falls to 10^(@)C is, (alpha =1.2 xx 10^(-5) //""^(@)C, Y=2xx10^(11) N//m^(2))

An iron sphere has a radius of 10 cm at a temperature of 0^(@)C . Calculate the change in volume of the sphere if it is heated to 100^(@)C . Given alpha_(Fe) = 1.1 xx 10^(-6).^(@)C^(-1)

Two rods of equal cross sections, one of copper and the other of steel, are joined to form a composite rod of length 2.0 m at 20^@C , the length of the copper rod is 0.5 m. When the temperature is raised to 120^@C , the length of composite rod increases to 2.002m. If the composite rod is fixed between two rigid walls and thus not allowed to expand, it is found that the lengths of the component rods also do not change with increase in temperature. Calculate Young's moulus of steel. (The coefficient of linear expansion of copper, alpha_c=1.6xx10^(-5@)C and Young's modulus of copper is 1.3xx10^(13)N//m^(2) ).

Calculate the volume change of a solid copper cube, 40 mm on each edge, when subjected to a pressure of 2xx10^(7) Pa. The bulk modulus for copper is 1.25xx10^(11) Nm^(-2) .

What should be the length of steel and copper rods at 0^(@)C that the length of steel rod is 5 cm longer than copper at all termperature? Given alpha_(Cu) = 1.7 xx 10^(5) .^(@)C^(-1) and alpha_(steel) = 1.1 xx 10^(5) .^(@)C^(-1) .

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