AIIMS2019Physics-Atomic Structure

AIIMS 2019 Physics Energy Levels MCQ Question

Type: MCQ-numerical-Medium-Class 11

Energy of electron (in eV) in 2nd2^{\text{nd}} orbit of He+\text{He}^+ ion?

A

-10.6 eV

B

-13.6 eV

C

-15.6 eV

D

-25.6 eV

Correct Answer

Option B

Detailed Explanation

In the expression E=13.6×(z2n2)E = -13.6 \times \left( \frac{z^2}{n^2} \right), substituting z=2z = 2 (for the element Helium) and n=2n = 2 yields E=13.6×(2222)=13.6eVE = -13.6 \times \left( \frac{2^2}{2^2} \right) = -13.6 \, \text{eV}, which represents the energy of an electron in the second energy level of a hydrogen-like atom. Since the calculation is accurate and aligns with the expected energy value for this state, option B is the correct choice. Other options are not applicable as they do not provide relevant information or calculations related to the problem.

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