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

Options

A. `3PK alpha`
B. `(P)/(3 alpha K)`
C. `(P)/(alpha K)`
D. `(3 alpha)/(PK)`

Answer

B

Explanation

`Delta P= -K(Delta V)/(V)`
`(Delta V)/(V) = - gamma Delta theta= -3 alpha Delta theta`
`3alpha Delta theta K= P`
`Delta theta= (P)/(3 alpha K)`