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NDA General Ability General Science 2025 NDA 2025 (Phase 1)

NDA General Ability Question (2025) — Solution

Question

Which one of the following is dimensionless quantity?

Options

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

Answer

B. Strain

Step-by-step solution

Stress is defined as force per unit area. Its dimensional formula is [MLT^ -2 ] [L^2] = [ML^ -1 T^ -2 ]. Strain is defined as the ratio of change in dimension to the original dimension. Its dimensional formula is [L] [L] = [M^0L^0T^0]. Thus, it is a dimensionless quantity. Pressure is defined as force per unit area. Its dimensional formula is [MLT^ -2 ] [L^2] = [ML^ -1 T^ -2 ]. Force is defined as mass times acceleration. Its dimensional formula is [MLT^ -2 ]. Answer: Strain

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