An electron in a hydrogen-like ion with Z = 4 jumps from n = 4 to n = 2. The energy released is:
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Question

An electron in a hydrogen-like ion with Z = 4 jumps from n = 4 to n = 2. The energy released is:

G1 Physics · Accepted Answer

For a hydrogen-like ion, Eₙ = −13.6 Z²/n² eV Here: Z = 4 n₁ = 4 n₂ = 2 Energy released is ΔE = 13.6 Z²(1/n₂² − 1/n₁²) = 13.6 × 4² × (1/2² − 1/4²) = 13.6 × 16 × (1/4 − 1/16) = 13.6 × 3 = 40.8 eV Hence option D.