A dimensional constant is a physical constant that has units (dimensions) associated with it.
Explanation:
- Physical constants are of two types:
- Dimensional constants – have units
- Dimensionless constants – have no units
Examples of Dimensional Constants:
- Gravitational constant (G) → unit: N·m²/kg²
- Planck’s constant (h) → unit: J·s
- Speed of light (c) → unit: m/s
Examples of Dimensionless Constants:
- Coefficient of friction
- Refractive index
- Poisson’s ratio
Key Insight:
- If a constant has units, it is dimensional
- If it is just a number without units, it is dimensionless
Conclusion:
Constants like G, h, and c are dimensional constants because they possess physical units.