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PhysicsMediumMCQ2021 · 31 Aug Shift 2

Q18.A free electron of 2 . 6 eV energy collides with a H+ ion. This results in the formation of a hydrogen atom in the first excited state and a photon is released. Find the frequency of the emitted photon. ℎ= 6 . 6 × 10-34 J s (1) 9 . 0 × 1027 MHz (2) 1 . 45 × 109 MHz (3) 0 . 19 × 1015 MHz (4) 1 . 45 × 1016 MHz

What This Question Tests

This problem tests the understanding of energy levels in the hydrogen atom and the conservation of energy during electron capture and photon emission, involving calculations with eV to Joules conversion.

Concepts Tested

Energy levels of hydrogen atomConservation of energyPhoton energy and frequency

Formulas Used

E_n = -13.6/n² eV

E_photon = E_initial - E_final

E_photon = hf

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