Numford

Fundamental constantsClass 12, Atoms

Dimensional formula of Rydberg constant

[L-1]

SymbolRH SI unitper metre (m⁻¹)

The constant in 1/λ = R(1/n1² minus 1/n2²) for hydrogen lines. It is one over length.

Derivation

How to get the dimensional formula of Rydberg constant

  1. Start from the definition: Rydberg constant = 1 / length.
  2. Put in the dimension of each part: 1 / [L].
  3. Add the powers of each base quantity: [L-1].
Same dimensions

Quantities with the dimensions [L⁻¹]

Equal dimensions do not make them the same quantity. Compare Rydberg constant with the others in the full grid.

Practice

Three questions on Rydberg constant

1Which of these has the same dimensions as Rydberg constant?

2What is the SI unit of Rydberg constant?

3Which one has different dimensions from the others?

Questions

Rydberg constant: quick answers

What is the dimensional formula of Rydberg constant?

The dimensional formula of Rydberg constant is [L⁻¹]. It comes from Rydberg constant = 1 / length.

What is the SI unit of Rydberg constant?

The SI unit of Rydberg constant is the per metre (m⁻¹).

Which quantities have the same dimensions as Rydberg constant?

Rydberg constant shares [L⁻¹] with wave number, power of a lens. Equal dimensions do not make them the same quantity.

Open the dimensional formula tool