Physics · Atomic Physics

JEE Main 2025 — 2 April, Morning Shift — Question 50

Considering Bohr's atomic model for hydrogen atom: (A) The energy of H atom in ground state is same as energy of He+\mathrm{He}^{+}ion in its first excited state. (B) The energy of H atom in ground state is same as that for Li++\mathrm{Li}^{++}ion in its second excited state. (C) The energy of H atom in its ground state is same as that of He+\mathrm{He}^{+}ion for its ground state. (D) The energy of He+\mathrm{He}^{+}ion in its first excited state is same as that for Li++\mathrm{Li}^{++}ion in its ground state. Choose the correct answer from the options given below:

  1. Option A:

    (A), (D) only

  2. Option B:

    (A), (B) only

    Correct
  3. Option C:

    (A), (C) only

  4. Option D:

    (B), (D) only

Answer: B

Step-by-step solution

E=−13.6z2n2eVE=-13.6 \frac{z^{2}}{n^{2}} \mathrm{eV} EHe+1st \mathrm{E}_{\mathrm{He}^{+}} 1^{\text {st }}

excited state =−13.6eV=-13.6 \mathrm{eV} ELi2+2nd E_{\mathrm{Li}^{2+}} 2^{\text {nd }}

excited state =−13.6eV=-13.6 \mathrm{eV} (A), (B) are correct.

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
Atomic Physics
Topic
Rutherford's and Bohr's Model of Atom
Considering Bohr's atomic model for hydrogen atom: (A) The energy of… | JEE Main 2025 PYQ with Solution · DhiX AI