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What is the unit of Young’s modulus in the SI system?
  • a)
    N/m
  • b)
    N/m²
  • c)
    Pa
  • d)
    N
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the unit of Young’s modulus in the SI system?a)N/mb)N/m&...
Young's modulus is a measure of the stiffness of a material. In the SI system, the unit of Young's modulus is the Pascal, abbreviated as Pa.
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What is the unit of Young’s modulus in the SI system?a)N/mb)N/m&...
Understanding Young's Modulus
Young's modulus is a fundamental property of materials that measures their stiffness or resistance to deformation when subjected to tensile or compressive stress. It is defined as the ratio of stress (force per unit area) to strain (relative deformation) in the elastic region of a material’s stress-strain curve.
Unit of Young's Modulus
The correct unit of Young's modulus in the SI system is the pascal (Pa). Here's why:
- Stress Definition: Stress is defined as force (N) divided by area (m²):
- Stress = Force / Area = N / m² = Pa
- Strain Definition: Strain is dimensionless, as it is the ratio of change in length to the original length (no units).
- Therefore: Since Young's modulus is the ratio of stress (N/m² or Pa) to strain (dimensionless), it retains the unit of stress:
- Young's Modulus = Stress / Strain = (N/m²) / (dimensionless) = N/m² = Pa
Conclusion
Thus, the correct answer is option 'C', which is pascal (Pa). This unit reflects the amount of force applied over a specific area and is crucial for engineers when selecting materials for various applications, ensuring structural integrity and performance.
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