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A block of volume V mm3 is subjected to hydrostatic pressure P MPa, the Modulus of elasticity is E GPa, and Poisson’s ratio ν = 0.5.
Which statement is true about the block?
  • a)
    Bulk modulus K = ∞, perfectly incompressible and change in volume is zero
  • b)
    Bulk modulus K = 1, perfectly incompressible, and change in volume is zero
  • c)
    Bulk modulus K = 0, perfectly incompressible, and change in volume is ∞
  • d)
    Bulk modulus K = ∞, perfectly compressible and change in volume is zero
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A block of volume V mm3 is subjected to hydrostatic pressure P MPa, t...
Change in volume in block
For ν = 0.5 ⇒ ev = 0
The bulk modulus of elasticity measures the compressive stress per unit volumetric strain.
For incompressible fluid: dρ = 0 ⇒ dV = 0
For dV = 0 ⇒ k = ∞
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Most Upvoted Answer
A block of volume V mm3 is subjected to hydrostatic pressure P MPa, t...
Properties of the block:
- Volume of the block (V) = V mm3
- Hydrostatic pressure (P) = P MPa
- Modulus of elasticity (E) = E GPa
- Poisson’s ratio (ν) = 0.5

Explanation:
- Bulk modulus (K): The bulk modulus is a measure of a substance's resistance to uniform compression. In this case, the block has a bulk modulus of ∞, which means it is perfectly incompressible.
- Perfectly incompressible: A material with an infinite bulk modulus is considered perfectly incompressible, which implies that it does not change in volume under the application of any pressure.
- Change in volume: Since the block is perfectly incompressible, the change in volume is zero regardless of the hydrostatic pressure applied. This is because an infinitely high bulk modulus indicates no change in volume even under high pressures.
Therefore, the statement "Bulk modulus K = ∞, perfectly incompressible, and change in volume is zero" is true about the block.
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A block of volume V mm3 is subjected to hydrostatic pressure P MPa, the Modulus of elasticity is E GPa, and Poisson’s ratio ν = 0.5.Which statement is true about the block?a)Bulk modulus K = ∞, perfectly incompressible and change in volume is zerob)Bulk modulus K = 1, perfectly incompressible, and change in volume is zeroc)Bulk modulus K = 0, perfectly incompressible, and change in volume is ∞d)Bulk modulus K = ∞, perfectly compressible and change in volume is zeroCorrect answer is option 'A'. Can you explain this answer?
Question Description
A block of volume V mm3 is subjected to hydrostatic pressure P MPa, the Modulus of elasticity is E GPa, and Poisson’s ratio ν = 0.5.Which statement is true about the block?a)Bulk modulus K = ∞, perfectly incompressible and change in volume is zerob)Bulk modulus K = 1, perfectly incompressible, and change in volume is zeroc)Bulk modulus K = 0, perfectly incompressible, and change in volume is ∞d)Bulk modulus K = ∞, perfectly compressible and change in volume is zeroCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A block of volume V mm3 is subjected to hydrostatic pressure P MPa, the Modulus of elasticity is E GPa, and Poisson’s ratio ν = 0.5.Which statement is true about the block?a)Bulk modulus K = ∞, perfectly incompressible and change in volume is zerob)Bulk modulus K = 1, perfectly incompressible, and change in volume is zeroc)Bulk modulus K = 0, perfectly incompressible, and change in volume is ∞d)Bulk modulus K = ∞, perfectly compressible and change in volume is zeroCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of volume V mm3 is subjected to hydrostatic pressure P MPa, the Modulus of elasticity is E GPa, and Poisson’s ratio ν = 0.5.Which statement is true about the block?a)Bulk modulus K = ∞, perfectly incompressible and change in volume is zerob)Bulk modulus K = 1, perfectly incompressible, and change in volume is zeroc)Bulk modulus K = 0, perfectly incompressible, and change in volume is ∞d)Bulk modulus K = ∞, perfectly compressible and change in volume is zeroCorrect answer is option 'A'. Can you explain this answer?.
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