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JEE Main 20252 AprilEvening Shift
Exam
JEE Main
Year
2025
Date
2 April
Shift
Evening Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2025 · 2 April · Evening Shift · Physics · Atomic Physics

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

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= _______. (Where a0\mathrm{a}_0 is the first Bohr's radius.)

Options

  1. A2
  2. B1
  3. C3
  4. D9

Correct answer

C. 3

Step-by-step solution

r=r0n2z&z=3\mathrm{r}=\mathrm{r}_0 \frac{\mathrm{n}^2}{\mathrm{z}} \& \mathrm{z}=3 for Li+2\mathrm{Li}^{+2} and n=1\mathrm{n}=1
∴\therefore\mathrm{r}=\mathrm{r}0123=r03∴x=3_0 \frac{1^2}{3}=\frac{\mathrm{r}_0}{3} \quad \therefore \mathrm{x}=3
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