Dimensional formula of rydberg constant

Rydberg constant
[L−1]
Written in full: [M⁰ L⁻¹ T⁰ A⁰ K⁰]

How to derive it

Rydberg constant = 1 ÷ Wavelength, from 1/λ = R(1/n₁² − 1/n₂²)

Put in the dimensions of each part: 1 ÷ [L] = [L⁻¹].

mass (M)
0
length (L)
-1
time (T)
0
current (A)
0
temperature (K)
0

SI unit

The SI unit of rydberg constant is m⁻¹.

Same dimensions as rydberg constant

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

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More from Modern physics

QuantityFormula
Planck's constant[M L2 T−1]
Specific charge[M−1 T A]
Work function[M L2 T−2]
Decay constant[T−1]
Activity[T−1]
Half-life[T]