A spherical shell of copper is completely filled with a liquid at a temperature `t^(@)C`. The bulk moduls of the liquid is K and coefficient of volume expansion is `gamma`. If the temperature of the liquid and the shell is increased by `DeltaT`, then the outward pressure `Deltap` on the shell that results from the temperature increase is given by (`alpha` is the coefficient of linear expansion of the material to the shell):

Options

A. `K ( gamma - 3alpha) Delta T`
B. ` K ( 3 alpha - gamma) Delta T`
C. `3 alpha ( K - gamma) Delta T`
D. `gamma ( 3 alpha - K ) Delta T`

Answer

D