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JEE MAIN - Physics (2025 - 3rd April Evening Shift - No. 18)

Given below are two statements: one is labelled as $\mathbf{A s s e r t i o n} \mathbf{A}$ and the other is labelled as Reason $\mathbf{R}$

Assertion A : The Bohr model is applicable to hydrogen and hydrogen-like atoms only.

Reason $\mathbf{R}$ : The formulation of Bohr model does not include repulsive force between electrons.

In the light of the above statements, choose the correct answer from the options given below

$\mathbf{A}$ is true but $\mathbf{R}$ is false
Both $\mathbf{A}$ and $\mathbf{R}$ are true and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$
$\mathbf{A}$ is false but $\mathbf{R}$ is true
Both $\mathbf{A}$ and $\mathbf{R}$ are true but $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$

Explanation

Option B

Both statements are true, and the absence of electron–electron repulsion in Bohr’s formulation is exactly why it works only for one‐electron systems (hydrogen and hydrogen‐like ions).

• Assertion A is true: Bohr’s model applies only to atoms with a single electron.

• Reason R is true: Bohr treated only the Coulomb attraction between nucleus and electron, omitting any repulsive force between multiple electrons.

• Since ignoring e–e repulsion prevents extension to multi–electron atoms, R correctly explains A.

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