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volume strain is defined
  • a)
    as the change in volume ΔV
  • b)
    as the ratio of change in volume (ΔV) to the original volume V
  • c)
    as the ratio of change in volume (ΔV) to thrice the original volume V
  • d)
    as the ratio of change in volume (ΔV) to twice the original volume V
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
volume strain is defineda)as the change in volume Vb)as the ratio of c...
Volume Strain Definition


  • Definition: Volume strain is defined as the ratio of change in volume (ΔV) to the original volume V.


Detailed Explanation


  • Volume strain is a measure of how much a material changes in volume under stress.

  • It is calculated by taking the change in volume and dividing it by the original volume of the material.

  • Volume strain is usually expressed as a decimal or a percentage.

  • It is an important concept in physics and engineering, especially in the study of materials and structures.

  • Understanding volume strain is crucial for predicting how materials will behave under different conditions and loads.

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Most Upvoted Answer
volume strain is defineda)as the change in volume Vb)as the ratio of c...
Understanding Volume Strain
Volume strain is an important concept in mechanics and materials science that describes how a material deforms when subjected to external forces.
Definition of Volume Strain
- Volume strain is defined specifically as the ratio of the change in volume (ΔV) to the original volume (V0) of a material.
- Mathematically, it can be expressed as: Volume Strain = ΔV / V0.
Why Option B is Correct
- Change in Volume (ΔV): This represents the difference between the final volume after deformation and the initial volume before deformation.
- Original Volume (V0): This is the volume of the material before any external forces have been applied.
- Ratio Significance: By taking the ratio of the change in volume to the original volume, we obtain a dimensionless quantity that allows for comparison across different materials and conditions.
Other Options Explained
- Option A (Change in Volume V): This does not provide a comparative metric and lacks the necessary context of the original volume.
- Option C (Thrice the Original Volume): This is an arbitrary scaling that does not conform to the standard definition of volume strain.
- Option D (Twice the Original Volume): Similar to Option C, this does not reflect the true relationship defined in mechanics.
Conclusion
In conclusion, volume strain is fundamentally about understanding how a material's volume changes relative to its original volume, which is effectively captured by Option B. This definition is crucial for engineers and scientists to assess material behavior under stress.
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volume strain is defineda)as the change in volume Vb)as the ratio of change in volume (V) to the original volume Vc)as the ratio of change in volume (V) to thrice the original volume Vd)as the ratio of change in volume (V) to twice the original volume VCorrect answer is option 'B'. Can you explain this answer?
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