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QUESTION

For hydrogen, what is the wavelength of the photon emitted when an electron drops from a 4d orbital to a 2p orbital in a hydrogen atom? The Rydberg constant is 1.097 × 10-2 nm-1.

lambda=485.4"nm"

The Rydberg Expression gives:

1/lambda=R[(1)/(n_1^(2))-(1)/(n_2^(2)]]

R is the Rydberg Constant = 1.097xx10^(-2)nm^(-1)

n_1=2

n_2=4

These refer to the principle of the energy levels which the electrons transition from.

1/lambda=1.097xx10^(-2)[0.25-0.0625]=0.00206nm^(-1)

lambda=485.4"nm"

The sub - shells d and p given are irrelevant to the question as, in the hydrogen atom, the sub - shells within an energy level are degenerate (of the same energy).