Home Physics Atomic and Nuclear Physics JEE Main 2025 - ( Atomic Physics ) Assuming the validity of Bohr's atomic model…
Physics Atomic and Nuclear Physics JEE Main 2025 - ( Atomic Physics ) MCQ (Single Correct)

Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of ion in its ground state is given by , where _______ (Where is the first Bohr's radius.)

A
2
B
9
C
1
D
3

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Verified by Experts
The correct answer is:
D

The radius of a hydrogen-like ion according to Bohr's atomic model is given by the formula:

Where: is the first Bohr radius ( )
represents the principal quantum number
is the atomic number of the ion
For the ion , the atomic number and we are considering the ground state, so .

Plugging these values into the formula, we get:

This shows that the radius of in its ground state is , meaning .

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