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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`

A

`(P)/(alphabeta)`

B

`(Palpha)/(beta)`

C

`(Pbeta)/(alpha)`

D

`(alphabeta)/(P)`

Text Solution

Verified by Experts

The correct Answer is:
A
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)impliestriangle=(P)/(alphabeta)`
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