JEE Main2017PhysicsThermal Properties of MatterActual
An external pressure P is applied on a cube at 0 ° C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and α is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by:
Options
- A3 P K α
- BP 3 α K
- CP α K
- D3 α P K
Correct answer
B. P 3 α K
Step-by-step solution
B = - P d V V d V V = - P B d V = - P V B Δ V = V γ Δ T Δ V V = γ Δ T Δ V V = 3 α Δ T K = P Δ V V = P 3 α Δ T Δ T = P 3 α k