The energy of the electron in hydrogen atom can be shown to be given by en = -13.6/n^2 ev, where n represents the principal quantum number. imagine a situation where the electron makes a transition from n = 3 to n = 1 state. where does the photon emitted in this transition lie in the electromagnetic spectrum? (a) visible region (b) infra-red region (c) ultra-violet region (d) x-ray region

This represents radiation in ultra-violet region .

Explanation:

Energy of the orbit where n = 3 is given as follows

= -1.511 eV

Energy of the orbit where n = 1 is given as follows

= 13.6 eV

Difference of [tex]E_3 and [tex]E_1 = - 1.511+ 13.6

= 12.089 eV.

The wavelength of light having this energy in nm is given by the expression as follows

Wavelength in nm = 1244 / energy in eV

= 1244 / 12.089

= 102.90 nm

This represents radiation in ultra-violet region .

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