A hydrogen atom undergoes a transition from a 2 p state to the 1 s ground state.

Question

A hydrogen atom undergoes a transition from a 2pstate to the 1s ground state. In the absence of a magnetic field, the energy of the photon emitted is 122 nm. The atom is then placed in a strong magnetic field in the z-direction. Ignore spin effects; consider only the interaction of the magnetic field with the atom's orbital magnetic moment.

Part A: How many different photon wavelengths are observed for the 2p?1s transition?

Part B: What are the three ml values for the initial state for the transition that leads to each photon wavelength?

Enter your answers in ascending order separated by commas.

Part C: One observed wavelength with the field is longer than the wavelength without the field. What is the initial mlvalue for the transition that produces a photon of this wavelength?

Explanation / Answer

A) from 2p--->1s it is clear that there are three different transistions

B) -1, 0, 1

c) consider that the wavelength observed with the field is longer than the wavelength without the field. this type of transition produces small energy

initial ml value are -1

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