Home Chemistry Structure of Atom Atomic Models and Planck's Quantum Theory Correct order of radius of the Ist orbit of …
Chemistry Structure of Atom Atomic Models and Planck's Quantum Theory Single Correct MCQ
Published on: August 13, 2026

Correct order of radius of the Ist orbit of H, He + , Li 2+ , Be 3+ is:

A
H > He + > Li 2+ > Be 3+
B
Be 3+ > Li 2+ > He + > H
C
He + > Be 3+ > Li 2+ > H
D
He + > H > Li 2+ > Be 3+

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Text Solution

Verified by Experts
The correct answer is:
A

and contain one electron like hydrogen, so they are called H -like particles.
Radius of the first orbit of the hydrogen atom is called Bohr's radius, i.e. .
The expression for the radius of orbit for H -like particles is given as

Where, Z is the atomic number of H -like particles.
We have to find the order of the radius of the 1st orbit, i.e. .
Now, the radius of the first orbit for and becomes

Since, the value of is constant, i.e. 52.9 pm , therefore, we can say that radius r is inversely proportional to the atomic number Z of the H -like particle, i.e.

Atomic number, Z for and is 2,3 and 4 , respectively.
Since, atomic number Z increases from H to , radius r being inversely proportional decreases from to . This implies that the radius of the first orbit is largest for and smallest for . Therefore, the correct order of radius of the 1st orbit of and is:

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