Answer :
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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