Question
Download Solution PDFWhich one of the following is dimensionless quantity?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept Used:
A dimensionless quantity is a physical quantity that has no physical dimensions and is expressed as a pure number.
To determine if a quantity is dimensionless, analyze its dimensional formula:
Stress: Force per unit area (F / A)
Dimensional Formula: [M1 L-1 T-2]
Strain: Change in length / Original length (ΔL / L)
Dimensional Formula: Dimensionless (pure ratio)
Pressure: Force per unit area (F / A)
Dimensional Formula: [M1 L-1 T-2]
Force: Mass × Acceleration
Dimensional Formula: [M1 L1 T-2]
∴ The dimensionless quantity is Strain .
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