Question

Use the Rydberg equation to find the wavelength (in Å) of the photon absorbed when an electron in an H atom undergoes a transition from n = 1 to n = 3.

Answer 1

The wavelength of the photon is  1026  Å

Rydberg unit of energy corresponds to the energy of the photon whose wave number is Rydberg constant.

The value for the rydberg constant is 10 973 731.6 m-1

The formula for the rydberg constant for hydrogen is

1 / λ = Rh (1 / n1^2 - 1 / n2^2)

where Rh is the Rydberg constant

For the transition of an electron in a hydrogen atom from n = 1 to n = 3

1 / λ = Rh (1 / 1^2 - 1 / 3^2)

1 / λ = Rh (0.888)

λ = 1.126 / Rh

λ = 1.126 /  10 973 731.6

   = 1.026 * 10^-7

   = 1026  Å

Hence, the wavelength of the photon is  1026  Å

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