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A hydrogen atom makes a transition from the n 55 state to the ground state and...

A hydrogen atom makes a transition from the n 55 state to the ground state and emits a single photon of light in the process. The photon then strikes a piece of silicon, which has a photoelectric work function of 4.8 eV. Is it possible that a photoelectron will be emitted from the silicon? If not, why not? If so, find the maximum possible kinetic energy of the photoelectron

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Answer #1

The energy of the photon emitted when electron transit from n=55 to n=1 is

We know that

where '' is the work function

Since the energy of the photon is greater than the work function of the silicon, it is possible that a photoelectron will be emitted from the silicon.

Given

so,

Therefore, the possible maximum kinetic energy of the photoelectron is 8.795eV

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