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Which of the following quantities is dimensionless?

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Question: Which of the following quantities is dimensionless?

Options:

  1. Reynolds number
  2. Force
  3. Energy
  4. Pressure

Correct Answer: Reynolds number

Solution: 

Reynolds number is dimensionless as it is a ratio of inertial forces to viscous forces.

Which of the following quantities is dimensionless?

Practice Questions

Q1
Which of the following quantities is dimensionless?
  1. Reynolds number
  2. Force
  3. Energy
  4. Pressure

Questions & Step-by-Step Solutions

Which of the following quantities is dimensionless?
Correct Answer: Reynolds number
  • Step 1: Understand what 'dimensionless' means. A dimensionless quantity has no units and is just a pure number.
  • Step 2: Identify the Reynolds number. It is a number used in fluid mechanics.
  • Step 3: Know that the Reynolds number is calculated by taking the ratio of two types of forces: inertial forces and viscous forces.
  • Step 4: Realize that when you take a ratio of two forces, the units cancel out, leaving you with a pure number.
  • Step 5: Conclude that since the Reynolds number has no units, it is dimensionless.
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