A particular line in the emission spectrum of atomic hydrogen has a wavelength of

CHEMISTRY · Subjective · A Level · Chemistry · Atomic structure · Atomic structure

Problem

410.2\,\text{nm}

. (i) Identify to which spectral series this line belongs. (ii) Determine the principal quantum numbers

n_1

and

n_2

for the electronic transition that gives rise to this line. (iii) Calculate the energy, in electron-volts, of the photon associated with this transition. (iv) If an electron were to acquire the same amount of energy in the form of kinetic energy, what would be its speed? (Take

m_e = 9.1\times10^{-31}\,\text{kg}

and

1\,\text{eV}=1.6\times10^{-19}\,\text{J}

Related theory

Atomic Structure
Bohr's atomic model
Structure of Atom
Bohr's Model of Atom
Electron configurations

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