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NDA 2025 · PYQ · Mechanics / Elasticity · easy

Which one of the following is dimensionless quantity?

  1. A.Stress
  2. B.Strain✓ Correct
  3. C.Pressure
  4. D.Force

Explanation

Strain is defined as the ratio of change in dimension to original dimension (e.g., ΔL/L for longitudinal strain). Since it is a ratio of two quantities with the same units, strain is dimensionless. Stress (force per unit area), pressure (force per unit area), and force all have dimensions: stress and pressure have dimensions of [ML⁻¹T⁻²] (units of Pa or N/m²), and force has dimensions of [MLT⁻²] (units of Newton).
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