Rydberg Equation Calculator

Rydberg formula is the equation used in atomic physics formulated by Johannes Rydberg. This equation can

be used to calculate the wavelengths of spectral lines of different elements in the periodic table. Rydberg

equation calculator is the instant online tool which is used to find the wavelength of various spectral lines or

transitions of an electron in an atom.

Example 1: Calculate the wavelength if the transition in a hydrogen atom takes place from n₁ = 2

to n₂ = 4.

According to the Rydberg equation-> 1/λ = R_H (1/n₁² – 1/n₂²)

where λ= wavelength

R_H = Rydberg’s constant = 1.097 * 10⁷m^-1

n₁ and n₂ are integers ≥ 1 and n₂> n₁

Given n₁ = 2 and n₂ = 4

Substituting in the above formula we get,

1/λ = 1.097 * 10⁷m^-1 (1/2² – 1/4²)-> 1.097 * 10⁷ * 0.1875

1/λ = 0.2057 * 10⁷m^-1-> λ = 1/ (0.2057 * 10⁷m^-1)

Wavelength, λ = 4.86 * 10^-7m

Example 2: Calculate the wavelength of an electromagnetic radiation if n₁ = 3 and n₂ = 5.

According to the Rydberg equation-> 1/λ = R_H (1/n₁² – 1/n₂²)

where λ = wavelength

R_H = Rydberg’s constant = 1.097 * 10⁷m^-1

Given n₁ = 3 and n₂ = 5; n₂> n₁

Substituting in the above formula we get,

1/λ = 1.097 * 10⁷m^-1 (1/3² – 1/5²)-> 1.097 * 10⁷ * 0.0711

1/λ = 0.0780 * 10⁷m^-1-> λ = 1/ (0.0780 * 10⁷m^-1)

Wavelength, λ = 12.82 * 10^-7m

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