STANDARDPhysics-Atomic Structure

STANDARD Physics Energy Levels MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A hydrogen atom and a Li⁺⁺ ion are both in the second excited state. If lₕ and lₗᵢ are their respective electronic angular momenta and Eₕ and Eₗᵢ their respective energies, then

A

lₕ > lₗᵢ and |Eₕ| > |Eₗᵢ|

B

lₕ = lₗᵢ and |Eₕ| > |Eₗᵢ|

C

lₕ = lₗᵢ and |Eₕ| < |Eₗᵢ|

D

lₕ < lₗᵢ and |Eₕ| < |Eₗᵢ|

Correct Answer

Option C

Detailed Explanation

In the second excited state, both have the same angular momentum (l = 2ħ). However, the energy levels depend on the nuclear charge, so |Eₕ| < |Eₗᵢ| because Li⁺⁺ has a higher nuclear charge.

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