1.

A uniformpressure.P.is exertedonall sidescubeattemperaturet^(0)C. Bywhatamountshould the temperatureof the cube beraisedin orderto bring its volumeback to the volume it hadbeforethe pressurewas applied, if the bulk modulusand coefficientof volume expansion of the materialare B and gamma respectively.

Answer»

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Solution :A by definitionfo bulk MODULUS
`B= - V((DeltaP)/(DeltaV))`, withincreasein pressure
decreasein volumeof the CUBE will be given by
`-DeltaV=(VP)/(B)`, (as `DeltaP=P`)
Now withrise in temperaturedue to thermalexpansion, volumeincreasesso if .`Deltatheta`. is the RISE in temperature then
`DeltaV=V gamma Delta THETA ("as "gamma=(DeltaV)/(V Deltatheta))`
As the volume of the cube remainsconstant
`(VP)/(B) =Vgamma Delta theta rArr Delta theta =(P)/( gammaB)`


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