Home Physics Atomic and Nuclear Physics JEE Main 2025 - ( Atomic Physics ) Considering the Bohr model of hydrogen like …
Physics Atomic and Nuclear Physics JEE Main 2025 - ( Atomic Physics ) MCQ (Single Correct)

Considering the Bohr model of hydrogen like atoms, the ratio of the radius of orbit of the electron in and is

A
B

C
D

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The correct answer is:
B

In the Bohr model for a hydrogen-like atom, the radius of the orbit is given by

where: is the principal quantum number, is the Bohr radius, and

is the atomic number (the effective nuclear charge).

For the orbit :

For (where ):

For (where ):

Now, the ratio of the radius of the 5th orbit of to that of is:

Thus, the ratio is .

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