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PhysicsMediumMCQ2020 · 09 Jan Shift 2

Q19.The energy required to ionise a hydrogen like ion in its ground state is 9 Rydbergs. What is the wavelength of the radiation emitted when the electron in this ion jumps from the second excited stale to the ground state? (1) 24. 2nm (2) 11.4nm (3) 35.8nm (4) 8.6nm

What This Question Tests

The question tests the ability to determine the atomic number of a hydrogen-like ion from its ionization energy and then calculate the wavelength of light emitted during an electronic transition between specific energy levels.

Concepts Tested

Ionization energy of hydrogen-like ionsEnergy levels in Bohr's modelRydberg energyEnergy of emitted photonPhoton wavelength

Formulas Used

E_n = -13.6 Z²/n² eV

1 Rydberg = 13.6 eV

ΔE = hc/λ

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