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Q.

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

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a

Pαβ

b

Pαβ

c

Pβα

d

αβP

answer is A.

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Detailed Solution

If coefficient of volume expansion is α and rise in temperature is ∆θ  then ∆V = Vα∆θ ⇒∆VV = α∆θVolume elasticity β = P∆VV= Pα∆θ⇒∆θ = Pαβ
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The pressure applied from all directions on a cube is P. How much its temperature should be raised to maintain the original volume? The volume elasticity of the cube is β and the coefficient of volume expansion is α