What is the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from an energy level with n = 4 to an energy level with n = 2?

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Solution

The n_i = 4 to n_f = 2 transition will give rise to a spectral line of the Balmer series. The energy involved in the transition is given by the relation,

Substituting the values in the given expression of E:

E = – (4.0875 × 10^–19 J)

The negative sign indicates the energy of emission.

Wavelength of light emitted

Substituting the values in the given expression of λ:

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What is the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from an energy level with n = 4 to an energy level with n = 2?

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R_{n}

109678 c m^{- 1}

)

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