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
A
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B
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C
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D
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Solution
The correct option is A Change in volume due to rise in temperature ΔV=VαΔθ ∴ volumetric strain = ΔVV = αΔθ But bulk modulus ⇒β = stressstrain = PαΔθ∴θ = Pαβ