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Question: Answered & Verified by Expert
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:
PhysicsThermal Properties of MatterJEE MainJEE Main 2017 (02 Apr)
Options:
  • A 3PKα
  • B P3αK
  • C PαK
  • D 3αPK
Solution:
1397 Upvotes Verified Answer
The correct answer is: P3αK
B=-PdVV

dVV=-PB

dV=-PVB

ΔV=VγΔTΔVV=γΔT

ΔVV=3αΔT

K=PΔVV=P3αΔT

ΔT=P3αk

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