Question

What is the wavelength of the radiation required to raise hydrogen from the n=1 to the n=2 state?

Answer 1

Using the Bohr model electronic transition, where \[1/\lambda = R_{h}\left( 1/(n _{1})^{2} - 1/(n _{2})^{2} \right)\]

Where \[\lambda\] is your wavelength, R is the Rydberg constant (1.0973*10^7 m^-1), n1 and n2 are the initial and final states of the electronic levels.

You should have sufficient information to solve for lambda (wavelength) of the energy needed for this electronic promotion

Similarly for all the other questions where you require a quantitative amount of energy for promotion.

Use the formula

\[Energy in (eV) = hv = -13.6\left( 1/(n _{1})^{2} - 1/(n _{2})^{2} \right)\]

where n1 and n2 are again the initial and final states of the electron undergoing transition.