Electron transition

Classical Mechanics Level 2

The orbital electron of a hydrogen atom is in the n th n^{\text{th}} excited state. Find the wavelength of the light emitted from the electron when the electron transits to the m th m^{\text{th}} excited state, where n > m . n > m.

Assume R = R H h c . R = \frac{R_{H}}{hc}.

λ = m 2 n 2 R ( n 2 − m 2 ) \lambda = \frac{m^{2}n^{2}}{R(n^2-m^2)} λ = R m 2 n 2 ( n 2 + m 2 ) \lambda = \frac{Rm^{2}n^{2}}{(n^2+m^2)} λ = m 2 n 2 R ( m 2 − n 2 ) \lambda = \frac{m^{2}n^{2}}{R(m^2-n^2)} λ = m n R ( n 2 − m 2 ) \lambda = \frac{mn}{R(n^2-m^2)}

Srinivasa Satti by Srinivasa Satti

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