A cube is compressed at `0^(@)C` equally from all sides by an external pressure p. By what amount should be temperature be raised to bring it back to the size it had before the external pressure was applied? Given, B is bulk modulus of elasticity of the material of the cube and `alpha` is the coefficient of linear expansion.

Options

A. `(p)/(B alpha)`
B. `(P)/(3 B alpha)`
C. `(3 pi alpha)/(P)`
D. `(B)/(3P)`

Answer

b

Explanation

`B = (pV)/(Delta V) = (pV)/(gamma Delta T) = (P)/(3 alpha T)` or `T = (P)/(3 B alpha)`