In an experiment on photoelectric effect photons of wavelength 300 nm eject electrons from a metal of work function 2.25 eV. A photon of energy equal to that of the most energetic electron corresponds to the following transition in the hydrogen atom:
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The energy of a photon corresponds to the energy difference between the two quantum states in the hydrogen atom.
Step 1: Photon energy.
The energy of the photon required to eject an electron is related to the transition in the hydrogen atom by the energy difference between the two states. For a photon energy of 2.25 eV, the corresponding transition is from \( n = 3 \) to \( n = 2 \).
Thus, the correct answer is (3).