What is the energy of the photon that, when absorbed by a hydrogen atom, could cause the following? (a) an electronic transition from the n = 3 state to the n = 6 state
(b) an electronic transition from the n = 3 state to the n = 8 state

(a):

(b):

Explanation:

The energy of the photon that absorbed by a hydrogen atom causes a transition is equal to the difference in energy levels of the hydrogen atom corresponding to that transition.

According to Rydberg's formula, the energy corresponding to level in hydrogen atom is given by

where,

Part (a): For the electronic transition from the n = 3 state to the n = 6 state.

The energy of the photon which cause this transition is given by

Part (b): For the electronic transition from the n = 3 state to the n = 8 state.

The energy of the photon which cause this transition is given by

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