NTA Abhyas JEE Main2020PhysicsMechanical Properties of SolidsPractice
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 .
Options
- Ap α β
- Bp α β
- Cp β α
- Dα β p
Correct answer
A. p α β
Step-by-step solution
If coefficient of volume expansion is α and rise in temperature is ∆ θ , then ∆ V = V α ∆ θ ⇒ ∆ V V = α ∆ θ ∴ Volume elasticity, β = p ∆ V / V = p α ∆ θ ⇒ ∆ θ = p α β