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PhysicsHardMulti concept2019 · 12 Apr Shift 1

Q28.An excited He+ ion emits two photons in succession, with wavelengths 108.5 nm and 30.4 nm in making a transition to the ground state. The quantum number n, corresponding to its initial excited state is 1240 eV (for a photon of wavelength λ, energy E = ) λ ( in nm ) (1) n = 6 (2) n = 5 (3) n = 7 (4) n = 4

What This Question Tests

This problem involves calculating the total energy emitted by an He+ ion during two successive transitions to the ground state, and then using the Bohr model to find the initial excited state quantum number.

Concepts Tested

Bohr's model for He+ ionEnergy levels in hydrogen-like atomsPhoton energy and wavelengthAtomic transitions

Formulas Used

E = hc/λ = 1240 eV-nm/λ(nm)

E_n = -13.6 Z²/n² eV

ΔE = E_initial - E_final

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