An external pressure P is applied on a cube at 0^(@)C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and alpha is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by :

An external pressure P is applied on a cube at 0^(@)C so that it is eq

1.	An external pressure P is applied on a cube at 0^(@)C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and alpha is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by :
Answer» `3PKalpha` `P/(3alphaK)` `P/(alphaK)` `(3alpha)/(PK)` Solution :Bulk MODULUS `K=P/("("(DELTAV)/V")")` `therefore (DeltaV)/V=P/K " ["DeltaV=` change in volume] If INCREASE in temperature `Deltat` brings the CUBE to its ORIGINAL size, then `DeltaV=VgammaDeltat " or, " Deltat=(DeltaV)/V1/gamma=(DeltaV)/V*1/(3gamma)=P/(3Kalpha)` The option (B) is correct.