The pressure applied from all direction on a cube is P. How much its temperature should be raised to maintain the original volume ? The volume elasticity of the cube is `beta` and the coefficient of volume expansion is `alpha`

Options

A. `(P)/(alphabeta)`
B. `(Palpha)/(beta)`
C. `(Pbeta)/(alpha)`
D. `(alphabeta)/(P)`

Answer

A

Explanation

If coefficient of volume expansion is `alpha` and rise in
temperature is `triangletheta` then `triangleV=Valphatrianglethetaimplies(triangleV)/(V)=alphatriangletheta`
Volume elasticity`beta=(P)/((triangleV)/(V))=(P)/(alphatriangletheta)impliestriangletheta=(P)/(alphabeta)`