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A hydrogen electron, initially in its second excited state (n=3), jumps down to the ground state...

A hydrogen electron, initially in its second excited state (n=3), jumps down to the ground state n=1. The energy of n=1 state is -13.6 eV.

A) What is the energy of the photon emitted from this jumping down process? ( I got 12.08889eV)

B) Is this emitted photon energetic enough to create photoelectrons from Ni( Ni working function is 5 eV)?

C) If this emitted photon (from the jump down from n=3 to n=1) is reabsorbed by a hydrogen electron occupying the energy level n=4, cann this n=4 electron be excited to become a free electron? If yes, what is its kinetic energy once it becomes free?

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