The energy levels of a hypothetical one-electron atom are shown: n=1: -15.6 eV, n=2: -5.30 eV, n=3: -3.08 eV, n=4: -1.45 eV, n=5: -0.80 eV, ionization level: 0 eV. Select the correct statement(s). Image
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Question

The energy levels of a hypothetical one-electron atom are shown: n=1: -15.6 eV, n=2: -5.30 eV, n=3: -3.08 eV, n=4: -1.45 eV, n=5: -0.80 eV, ionization level: 0 eV. Select the correct statement(s). Image

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G1 Physics · Accepted Answer

Step 1: For a hydrogen-like atom, Eₙ = −13.6Z²/n² eV and photon energy is ΔE = 13.6Z²|1/n₂²−1/n₁²| = hc/λ. Step 2: Use the stated transition/excitation condition to obtain the required value. Final: A: The ionization potential of this atom is 15.6 V.; B: The short wavelength limit of the series terminating at n = 2 is 2339 Å.; C: The excitation potential for the state n = 3 is 12.52 V.; D: Wave number of the photon emitted for the transition n = 3 to n = 1 is 1.009 × 10⁷ m⁻¹..

The energy levels of a hypothetical one-electron atom are shown: n=1: −15.6 eV, n=2: −5.30 eV, n=3: −3.08 eV, n=4: −1.45 eV, n=5: −0.80 eV, ionization level: 0 eV. Select the correct statement(s). Image