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Concepts Of Physics MCQ Edition [Volume 1]PhysicsIntroduction to Physics

A quantity without units

Options

  1. Anever possesses a nonzero dimension
  2. Bdoes not exist
  3. Cmay possess a nonzero dimension
  4. Dalways possesses a nonzero dimension

Correct answer

A. never possesses a nonzero dimension

Step-by-step solution

A physical quantity without units is typically a pure number or a ratio of two similar quantities. Since dimensions represent the fundamental physical nature of a quantity, any quantity with a nonzero dimension must have a corresponding unit of measurement. Thus, if a quantity has no units, it must be dimensionless. Therefore, a quantity without units never possesses a nonzero dimension.

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