Question:
The ratio of hydraulic stress to the corresponding strain is known as
The ratio of hydraulic stress to the corresponding strain is known as
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Associate "Hydraulic" or "Volume" with Bulk, "Longitudinal" or "Length" with Young's, and "Shear" or "Shape" with Rigidity.
Updated On: May 6, 2026
- Compressibility
- Bulk modulus
- Young's modulus
- Rigidity modulus
- Expansion coefficient
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The Correct Option is B
Solution and Explanation
Concept:
Elastic moduli represent the ratio of stress to strain within the elastic limit. Different types of stress lead to different moduli:
• Young's Modulus (\(Y\)): Longitudinal stress Longitudinal strain.
• Bulk Modulus (\(B\)): Hydraulic (Volume) stress Volume strain.
• Rigidity Modulus (\(\eta\)): Shearing stress Shearing strain.
Step 1: Identify the specific stress and strain mentioned.
The question specifies hydraulic stress. Hydraulic stress occurs when an object is subjected to uniform pressure from all sides (like being submerged in a fluid), leading to a change in volume.
Step 2: Match with the definition.
The ratio of hydraulic stress (\(\Delta P\)) to the volumetric strain (\(\Delta V/V\)) is defined as the Bulk Modulus. \[ B = - \frac{\Delta P}{\Delta V / V} \] Note: Compressibility is the reciprocal of the Bulk modulus.
• Young's Modulus (\(Y\)): Longitudinal stress Longitudinal strain.
• Bulk Modulus (\(B\)): Hydraulic (Volume) stress Volume strain.
• Rigidity Modulus (\(\eta\)): Shearing stress Shearing strain.
Step 1: Identify the specific stress and strain mentioned.
The question specifies hydraulic stress. Hydraulic stress occurs when an object is subjected to uniform pressure from all sides (like being submerged in a fluid), leading to a change in volume.
Step 2: Match with the definition.
The ratio of hydraulic stress (\(\Delta P\)) to the volumetric strain (\(\Delta V/V\)) is defined as the Bulk Modulus. \[ B = - \frac{\Delta P}{\Delta V / V} \] Note: Compressibility is the reciprocal of the Bulk modulus.
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