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A uniform pressure P is exerted by an external agent on all sides of a solid cube at temperature tºC. By what amount should the temperature of the cube be raised in order to bring its volume back to its original volume before the pressure was applied if the bulk modulus is B and co-efficient of volumetric expansion is γ ?
  • a)
    Pγ/B
  • b)
    P/Bγ
  • c)
    B/γP
  • d)
    1/BPγ
Correct answer is option 'B'. Can you explain this answer?
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A uniform pressure P is exerted by an external agent on all sides of a...
Since the pressure is uniform on all sides of the cube, the force exerted on each side is equal. Let's assume the length of each side of the cube is L.

The force exerted on one side of the cube can be calculated using the equation:

Force = Pressure * Area

The area of one side of the cube is L^2, so the force exerted on one side is P * L^2.

Since the force is exerted on all sides of the cube, the total force exerted on the cube is 6 times the force on one side:

Total Force = 6 * P * L^2

The temperature of the cube does not affect the force exerted on it. The pressure is determined by the external agent and is independent of temperature.
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A uniform pressure P is exerted by an external agent on all sides of a solid cube at temperature tºC. By what amount should the temperature of the cube be raised in order to bring its volume back to its original volume before the pressure was applied if the bulk modulus is B and co-efficient of volumetric expansion is γ ?a)Pγ/Bb)P/Bγc)B/γPd)1/BPγCorrect answer is option 'B'. Can you explain this answer?
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