Physics · Atomic Physics

JEE Main 2025 — 2 April, Evening Shift — Question 63

Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of

Li++\mathrm{Li}^{++}ion in its ground state is given by 1Xa0\frac{1}{X} a_{0},

where X=X= \qquad -. (Where a0a_{0}, is the first Bohr's radius.)

  1. Option A:

    2

  2. Option B:

    9

  3. Option C:

    3

    Correct
  4. Option D:

    1

Answer: C

Step-by-step solution

r=a0n2zr=\frac{a_{0} n^{2}}{z}

∴rLi(n=1)=a0(1)3\therefore \quad r_{\mathrm{Li}}(n=1)=\frac{a_{0}(1)}{3}

∴X=3\therefore \quad X=3

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
Assuming the validity of Bohr's atomic model for hydrogen like ions… | JEE Main 2025 PYQ with Solution · DhiX AI